{"id":107,"date":"2016-04-21T22:43:45","date_gmt":"2016-04-21T22:43:45","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstats1xmaster\/?post_type=chapter&p=107"},"modified":"2021-07-06T14:49:53","modified_gmt":"2021-07-06T14:49:53","slug":"section-exercises-14","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/frontrange-introstats1\/chapter\/section-exercises-14\/","title":{"raw":"Section Exercises","rendered":"Section Exercises"},"content":{"raw":"
\r\n

Stem-and-Leaf Graphs (Stemplots), Line Graphs, and Bar Graphs<\/h2>\r\n
For each of the following data sets, create a stem plot and identify any outliers.<\/em><\/strong><\/div>\r\n1. The miles per gallon rating for [latex]30[\/latex] cars are shown below (lowest to highest). \u00a0[latex]19[\/latex], [latex]19[\/latex], [latex]19[\/latex], [latex]20[\/latex], [latex]21[\/latex], [latex]21[\/latex], [latex]25[\/latex], [latex]25[\/latex], [latex]25[\/latex], [latex]26[\/latex], [latex]26[\/latex], [latex]28[\/latex], [latex]29[\/latex], [latex]31[\/latex], [latex]31[\/latex], [latex]32[\/latex], [latex]32[\/latex], [latex]33[\/latex], [latex]34[\/latex], [latex]35[\/latex], [latex]36[\/latex], [latex]37[\/latex], [latex]37[\/latex], [latex]38[\/latex], [latex]38[\/latex], [latex]38[\/latex], [latex]38[\/latex], [latex]41[\/latex], [latex]43[\/latex], [latex]43[\/latex]\r\n\r\n<\/div>\r\n
\r\n\r\n2. The height in feet of [latex]25[\/latex] trees is shown below (lowest to highest). \u00a0[latex]25[\/latex], [latex]27[\/latex], [latex]33[\/latex], [latex]34[\/latex], [latex]34[\/latex], [latex]34[\/latex], [latex]35[\/latex], [latex]37[\/latex], [latex]37[\/latex], [latex]38[\/latex], [latex]39[\/latex], [latex]39[\/latex], [latex]39[\/latex], [latex]40[\/latex], [latex]41[\/latex], [latex]45[\/latex], [latex]46[\/latex], [latex]47[\/latex], [latex]49[\/latex], [latex]50[\/latex], [latex]50[\/latex], [latex]53[\/latex], [latex]53[\/latex], [latex]54[\/latex], [latex]54[\/latex]\r\n\r\n<\/div>\r\n
\r\n
3. The data are the prices of different laptops at an electronics store. Round each value to the nearest ten. \u00a0[latex]249[\/latex], [latex]249[\/latex], [latex]260[\/latex], [latex]265[\/latex], [latex]265[\/latex], [latex]280[\/latex], [latex]299[\/latex], [latex]299[\/latex], [latex]309[\/latex], [latex]319[\/latex], [latex]325[\/latex], [latex]326[\/latex], [latex]350[\/latex], [latex]350[\/latex], [latex]350[\/latex], [latex]365[\/latex], [latex]369[\/latex], [latex]389[\/latex], [latex]409[\/latex], [latex]459[\/latex], [latex]489[\/latex], [latex]559[\/latex], [latex]569[\/latex], [latex]570[\/latex], [latex]610[\/latex]<\/div>\r\n
4. The data are daily high temperatures in a town for one month. \u00a0[latex]61[\/latex], [latex]61[\/latex], [latex]62[\/latex], [latex]64[\/latex], [latex]66[\/latex], [latex]67[\/latex], [latex]67[\/latex], [latex]67[\/latex], [latex]68[\/latex], [latex]69[\/latex], [latex]70[\/latex], [latex]70[\/latex], [latex]70[\/latex], [latex]71[\/latex], [latex]71[\/latex], [latex]72[\/latex], [latex]74[\/latex], [latex]74[\/latex], [latex]74[\/latex], [latex]75[\/latex], [latex]75[\/latex], [latex]75[\/latex], [latex]76[\/latex], [latex]76[\/latex], [latex]77[\/latex], [latex]78[\/latex], [latex]78[\/latex], [latex]79[\/latex], [latex]79[\/latex], [latex]95[\/latex]<\/div>\r\n<\/div>\r\n
<\/div>\r\n\r\n
\r\n\r\n
\r\n\r\nFor the next three exercises, use the data to construct a line graph.<\/em><\/strong>\r\n\r\n<\/div>\r\n
\r\n
\r\n\r\n5. In a survey, [latex]40[\/latex] people were asked how many times they visited a store before making a major purchase. The results are shown in the table.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Number of times in store<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]1[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]2[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]3[\/latex]<\/td>\r\n[latex]16[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]4[\/latex]<\/td>\r\n[latex]6[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]5[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
<\/div>\r\n<\/div>\r\n
6. In a survey, several people were asked how many years it has been since they purchased a mattress. The results are shown in the table.<\/div>\r\n
\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Years since last purchase<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]0[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]1[\/latex]<\/td>\r\n[latex]8[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]2[\/latex]<\/td>\r\n[latex]13[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]3[\/latex]<\/td>\r\n[latex]22[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]4[\/latex]<\/td>\r\n[latex]16[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]5[\/latex]<\/td>\r\n[latex]9[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
\r\n
\r\n\r\n7. Several children were asked how many TV shows they watch each day. The results of the survey are shown in the table.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Number of TV Shows<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
[latex]0[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]1[\/latex]<\/td>\r\n[latex]18[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]2[\/latex]<\/td>\r\n[latex]36[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]3[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
[latex]4[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
<\/div>\r\n<\/div>\r\n
8. The students in Ms. Ramirez\u2019s math class have birthdays in each of the four seasons. The table\u00a0shows the four seasons, the number of students who have birthdays in each season, and the percentage (%) of students in each group. Construct a bar graph showing the number of students.<\/div>\r\n
\r\n
\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Seasons<\/th>\r\nNumber of students<\/th>\r\nProportion of population<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Spring<\/td>\r\n[latex]8[\/latex]<\/td>\r\n[latex]24[\/latex]%<\/td>\r\n<\/tr>\r\n
Summer<\/td>\r\n[latex]9[\/latex]<\/td>\r\n[latex]26[\/latex]%<\/td>\r\n<\/tr>\r\n
Autumn<\/td>\r\n[latex]11[\/latex]<\/td>\r\n[latex]32[\/latex]%<\/td>\r\n<\/tr>\r\n
Winter<\/td>\r\n[latex]6[\/latex]<\/td>\r\n[latex]18[\/latex]%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
\r\n
9. Using the data from Mrs. Ramirez\u2019s math class supplied in the tables, construct a bar graph showing the percentages.<\/div>\r\n<\/div>\r\n
<\/div>\r\n
\r\n
<\/div>\r\n
10. David County has six high schools. Each school sent students to participate in a county-wide science competition. The table\u00a0shows the percentage breakdown of competitors from each school, and the percentage of the entire student population of the county that goes to each school. Construct a bar graph that shows the population percentage of competitors from each school.<\/div>\r\n<\/div>\r\n
\r\n
\r\n<\/colgroup>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
High School<\/th>\r\nScience competition population<\/th>\r\nOverall student population<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
Alabaster<\/td>\r\n[latex]28.9[\/latex]%<\/td>\r\n[latex]8.6[\/latex]%<\/td>\r\n<\/tr>\r\n
Concordia<\/td>\r\n[latex]7.6[\/latex]%<\/td>\r\n[latex]23.2[\/latex]%<\/td>\r\n<\/tr>\r\n
Genoa<\/td>\r\n[latex]12.1[\/latex]%<\/td>\r\n[latex]15.0[\/latex]%<\/td>\r\n<\/tr>\r\n
Mocksville<\/td>\r\n[latex]18.5[\/latex]%<\/td>\r\n[latex]14.3[\/latex]%<\/td>\r\n<\/tr>\r\n
Tynneson<\/td>\r\n[latex]24.2[\/latex]%<\/td>\r\n[latex]10.1[\/latex]%<\/td>\r\n<\/tr>\r\n
West End<\/td>\r\n[latex]8.7[\/latex]%<\/td>\r\n[latex]28.8[\/latex]%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
\r\n
11. Use the data from the David County science competition supplied in the table above. Construct a bar graph that shows the county-wide population percentage of students at each school.<\/div>\r\n
<\/div>\r\n
<\/div>\r\n
12. Student grades on a chemistry exam were: [latex]77[\/latex], [latex]78[\/latex], [latex]76[\/latex], [latex]81[\/latex], [latex]86[\/latex], [latex]51[\/latex], [latex]79[\/latex], [latex]82[\/latex], [latex]84[\/latex], [latex]99[\/latex]<\/span><\/div>\r\n<\/div>\r\n
\r\n
\r\n
    \r\n \t
  1. Construct a stem-and-leaf plot of the data.<\/li>\r\n \t
  2. Are there any potential outliers? If so, which scores are they? Why do you consider them outliers?<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
    \r\n
    \r\n\r\n13.\u00a0The table\u00a0contains the 2010 obesity rates in U.S. states and Washington, DC.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    State<\/th>\r\nPercent (%)<\/th>\r\nState<\/th>\r\nPercent (%)<\/th>\r\nState<\/th>\r\nPercent (%)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
    Alabama<\/td>\r\n[latex]32.2[\/latex]<\/td>\r\nKentucky<\/td>\r\n[latex]31.3[\/latex]<\/td>\r\nNorth Dakota<\/td>\r\n[latex]27.2[\/latex]<\/td>\r\n<\/tr>\r\n
    Alaska<\/td>\r\n[latex]24.5[\/latex]<\/td>\r\nLouisiana<\/td>\r\n[latex]31.0[\/latex]<\/td>\r\nOhio<\/td>\r\n[latex]29.2[\/latex]<\/td>\r\n<\/tr>\r\n
    Arizona<\/td>\r\n[latex]24.3[\/latex]<\/td>\r\nMaine<\/td>\r\n[latex]26.8[\/latex]<\/td>\r\nOklahoma<\/td>\r\n[latex]30.4[\/latex]<\/td>\r\n<\/tr>\r\n
    Arkansas<\/td>\r\n[latex]30.1[\/latex]<\/td>\r\nMaryland<\/td>\r\n[latex]27.1[\/latex]<\/td>\r\nOregon<\/td>\r\n[latex]26.8[\/latex]<\/td>\r\n<\/tr>\r\n
    California<\/td>\r\n[latex]24.0[\/latex]<\/td>\r\nMassachusetts<\/td>\r\n[latex]23.0[\/latex]<\/td>\r\nPennsylvania<\/td>\r\n[latex]28.6[\/latex]<\/td>\r\n<\/tr>\r\n
    Colorado<\/td>\r\n[latex]21.0[\/latex]<\/td>\r\nMichigan<\/td>\r\n[latex]30.9[\/latex]<\/td>\r\nRhode Island<\/td>\r\n[latex]25.5[\/latex]<\/td>\r\n<\/tr>\r\n
    Connecticut<\/td>\r\n[latex]22.5[\/latex]<\/td>\r\nMinnesota<\/td>\r\n[latex]24.8[\/latex]<\/td>\r\nSouth Carolina<\/td>\r\n[latex]31.5[\/latex]<\/td>\r\n<\/tr>\r\n
    Delaware<\/td>\r\n[latex]28.0[\/latex]<\/td>\r\nMississippi<\/td>\r\n[latex]34.0[\/latex]<\/td>\r\nSouth Dakota<\/td>\r\n[latex]27.3[\/latex]<\/td>\r\n<\/tr>\r\n
    Washington, DC<\/td>\r\n[latex]22.2[\/latex]<\/td>\r\nMissouri<\/td>\r\n[latex]30.5[\/latex]<\/td>\r\nTennessee<\/td>\r\n[latex]30.8[\/latex]<\/td>\r\n<\/tr>\r\n
    Florida<\/td>\r\n[latex]26.6[\/latex]<\/td>\r\nMontana<\/td>\r\n[latex]23.0[\/latex]<\/td>\r\nTexas<\/td>\r\n[latex]31.0[\/latex]<\/td>\r\n<\/tr>\r\n
    Georgia<\/td>\r\n[latex]29.6[\/latex]<\/td>\r\nNebraska<\/td>\r\n[latex]26.9[\/latex]<\/td>\r\nUtah<\/td>\r\n[latex]22.5[\/latex]<\/td>\r\n<\/tr>\r\n
    Hawaii<\/td>\r\n[latex]22.7[\/latex]<\/td>\r\nNevada<\/td>\r\n[latex]22.4[\/latex]<\/td>\r\nVermont<\/td>\r\n[latex]23.2[\/latex]<\/td>\r\n<\/tr>\r\n
    Idaho<\/td>\r\n[latex]26.5[\/latex]<\/td>\r\nNew Hampshire<\/td>\r\n[latex]25.0[\/latex]<\/td>\r\nVirginia<\/td>\r\n[latex]26.0[\/latex]<\/td>\r\n<\/tr>\r\n
    Illinois<\/td>\r\n[latex]28.2[\/latex]<\/td>\r\nNew Jersey<\/td>\r\n[latex]23.8[\/latex]<\/td>\r\nWashington<\/td>\r\n[latex]25.5[\/latex]<\/td>\r\n<\/tr>\r\n
    Indiana<\/td>\r\n[latex]29.6[\/latex]<\/td>\r\nNew Mexico<\/td>\r\n[latex]25.1[\/latex]<\/td>\r\nWest Virginia<\/td>\r\n[latex]32.5[\/latex]<\/td>\r\n<\/tr>\r\n
    Iowa<\/td>\r\n[latex]28.4[\/latex]<\/td>\r\nNew York<\/td>\r\n[latex]23.9[\/latex]<\/td>\r\nWisconsin<\/td>\r\n[latex]26.3[\/latex]<\/td>\r\n<\/tr>\r\n
    Kansas<\/td>\r\n[latex]29.4[\/latex]<\/td>\r\nNorth Carolina<\/td>\r\n[latex]27.8[\/latex]<\/td>\r\nWyoming<\/td>\r\n[latex]25.1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
      \r\n \t
    1. Use a random number generator to randomly pick eight states. Construct a bar graph of the obesity rates of those eight states.<\/li>\r\n \t
    2. Construct a bar graph for all the states beginning with the letter \"A.\"<\/li>\r\n \t
    3. Construct a bar graph for all the states beginning with the letter \"M.\"<\/li>\r\n<\/ol>\r\n<\/div>\r\n
      \r\n
      \r\n

      Histograms, Frequency Polygons, and Time Series Graphs<\/h2>\r\n14. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Complete the table.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
      Data Value (# cars)<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Relative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
      <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
      <\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
      \r\n
      15. What does the frequency column in Table<\/a> sum to? Why?<\/div>\r\n
      16. What does the relative frequency column in Table<\/a> sum to? Why?<\/div>\r\n<\/div>\r\n
      \r\n
      17. What is the difference between relative frequency and frequency for each data value in Table<\/a>?<\/div>\r\n
      18. What is the difference between cumulative relative frequency and relative frequency for each data value?<\/div>\r\n<\/div>\r\n
      \r\n
      \r\n\r\n19. To construct the histogram for the data in Table<\/a>, determine appropriate minimum and maximum x<\/em> and y<\/em> values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with words. Include numerical scaling.\r\n
      \"An<\/span><\/figure>\r\n<\/div>\r\n
      <\/div>\r\n<\/div>\r\n
      <\/div>\r\n
      \r\n
      \r\n\r\n20. Construct a frequency polygon for the following:\r\n
        \r\n \t
      1. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Pulse Rates for Women<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]60\u201369[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]70\u201379[\/latex]<\/td>\r\n[latex]14[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]80\u201389[\/latex]<\/td>\r\n[latex]11[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]90\u201399[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]100\u2013109[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]110\u2013119[\/latex]<\/td>\r\n[latex]0[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]120\u2013129[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
      2. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Actual Speed in a [latex]30[\/latex] MPH Zone<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]42\u201345[\/latex]<\/td>\r\n[latex]25[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]46\u201349[\/latex]<\/td>\r\n[latex]14[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]50\u201353[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]54\u201357[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]58\u201361[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
      3. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Tar (mg) in Nonfiltered Cigarettes<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]10\u201313[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]14\u201317[\/latex]<\/td>\r\n[latex]0[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]18\u201321[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]22\u201325[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]26\u201329[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
        \r\n
        \r\n\r\n21. Construct a frequency polygon from the frequency distribution for the [latex]50[\/latex] highest ranked countries for depth of hunger.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Depth of Hunger<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]230\u2013259[\/latex]<\/td>\r\n[latex]21[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]260\u2013289[\/latex]<\/td>\r\n[latex]13[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]290\u2013319[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]320\u2013349[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]350\u2013379[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]380\u2013409[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]410\u2013439[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
        <\/div>\r\n<\/div>\r\n
        <\/div>\r\n
        \r\n
        \r\n\r\n22. Use the two frequency tables to compare the life expectancy of men and women from [latex]20[\/latex] randomly selected countries. Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. What can we conclude about the life expectancy of women compared to men?\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Life Expectancy at Birth \u2013 Women<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]49\u201355[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]56\u201362[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]63\u201369[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]70\u201376[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]77\u201383[\/latex]<\/td>\r\n[latex]8[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]84\u201390[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Life Expectancy at Birth \u2013 Men<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
        [latex]49\u201355[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]56\u201362[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]63\u201369[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]70\u201376[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]77\u201383[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
        [latex]84\u201390[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n
        \r\n
        \r\n\r\n23. Construct a times series graph for (a) the number of male births, (b) the number of female births, and (c) the total number of births.\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Sex\/Year<\/td>\r\n1855<\/td>\r\n1856<\/td>\r\n1857<\/td>\r\n1858<\/td>\r\n1859<\/td>\r\n1860<\/td>\r\n1861<\/td>\r\n<\/tr>\r\n
        Female<\/td>\r\n[latex]45,545[\/latex]<\/td>\r\n[latex]49,582[\/latex]<\/td>\r\n[latex]50,257[\/latex]<\/td>\r\n[latex]50,324[\/latex]<\/td>\r\n[latex]51,915[\/latex]<\/td>\r\n[latex]51,220[\/latex]<\/td>\r\n[latex]52,403[\/latex]<\/td>\r\n<\/tr>\r\n
        Male<\/td>\r\n[latex]47,804[\/latex]<\/td>\r\n[latex]52,239[\/latex]<\/td>\r\n[latex]53,158[\/latex]<\/td>\r\n[latex]53,694[\/latex]<\/td>\r\n[latex]54,628[\/latex]<\/td>\r\n[latex]54,409[\/latex]<\/td>\r\n[latex]54,606[\/latex]<\/td>\r\n<\/tr>\r\n
        Total<\/td>\r\n[latex]93,349[\/latex]<\/td>\r\n[latex]101,821[\/latex]<\/td>\r\n[latex]103,415[\/latex]<\/td>\r\n[latex]104,018[\/latex]<\/td>\r\n[latex]106,543[\/latex]<\/td>\r\n[latex]105,629[\/latex]<\/td>\r\n[latex]107,009[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Sex\/Year<\/td>\r\n1862<\/td>\r\n1863<\/td>\r\n1864<\/td>\r\n1865<\/td>\r\n1866<\/td>\r\n1867<\/td>\r\n1868<\/td>\r\n1869<\/td>\r\n<\/tr>\r\n
        Female<\/td>\r\n[latex]51,812[\/latex]<\/td>\r\n[latex]53,115[\/latex]<\/td>\r\n[latex]54,959[\/latex]<\/td>\r\n[latex]54,850[\/latex]<\/td>\r\n[latex]55,307[\/latex]<\/td>\r\n[latex]55,527[\/latex]<\/td>\r\n[latex]56,292[\/latex]<\/td>\r\n[latex]55,033[\/latex]<\/td>\r\n<\/tr>\r\n
        Male<\/td>\r\n[latex]55,257[\/latex]<\/td>\r\n[latex]56,226[\/latex]<\/td>\r\n[latex]57,374[\/latex]<\/td>\r\n[latex]58,220[\/latex]<\/td>\r\n[latex]58,360[\/latex]<\/td>\r\n[latex]58,517[\/latex]<\/td>\r\n[latex]59,222[\/latex]<\/td>\r\n[latex]58,321[\/latex]<\/td>\r\n<\/tr>\r\n
        Total<\/td>\r\n[latex]107,069[\/latex]<\/td>\r\n[latex]109,341[\/latex]<\/td>\r\n[latex]112,333[\/latex]<\/td>\r\n[latex]113,070[\/latex]<\/td>\r\n[latex]113,667[\/latex]<\/td>\r\n[latex]114,044[\/latex]<\/td>\r\n[latex]115,514[\/latex]<\/td>\r\n[latex]113,354[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
        Sex\/Year<\/td>\r\n1871<\/td>\r\n1870<\/td>\r\n1872<\/td>\r\n1871<\/td>\r\n1872<\/td>\r\n1827<\/td>\r\n1874<\/td>\r\n1875<\/td>\r\n<\/tr>\r\n
        Female<\/td>\r\n[latex]56,099[\/latex]<\/td>\r\n[latex]56,431[\/latex]<\/td>\r\n[latex]57,472[\/latex]<\/td>\r\n[latex]56,099[\/latex]<\/td>\r\n[latex]57,472[\/latex]<\/td>\r\n[latex]58,233[\/latex]<\/td>\r\n[latex]60,109[\/latex]<\/td>\r\n[latex]60,146[\/latex]<\/td>\r\n<\/tr>\r\n
        Male<\/td>\r\n[latex]60,029[\/latex]<\/td>\r\n[latex]58,959[\/latex]<\/td>\r\n[latex]61,293[\/latex]<\/td>\r\n[latex]60,029[\/latex]<\/td>\r\n[latex]61,293[\/latex]<\/td>\r\n[latex]61,467[\/latex]<\/td>\r\n[latex]63,602[\/latex]<\/td>\r\n[latex]63,432[\/latex]<\/td>\r\n<\/tr>\r\n
        Total<\/td>\r\n[latex]116,128[\/latex]<\/td>\r\n[latex]115,390[\/latex]<\/td>\r\n[latex]118,765[\/latex]<\/td>\r\n[latex]116,128[\/latex]<\/td>\r\n[latex]118,765[\/latex]<\/td>\r\n[latex]119,700[\/latex]<\/td>\r\n[latex]123,711[\/latex]<\/td>\r\n[latex]123,578[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
        <\/div>\r\n<\/div>\r\n
        <\/div>\r\n
        \r\n
        \r\n\r\n24. The following data sets list full-time police per [latex]100,000[\/latex] citizens along with homicides per [latex]100,000[\/latex] citizens for the city of Detroit, Michigan during the period from 1961 to 1973.\r\n\r\n\r\n\r\n\r\n\r\n
        Year<\/td>\r\n1961<\/td>\r\n1962<\/td>\r\n1963<\/td>\r\n1964<\/td>\r\n1965<\/td>\r\n1966<\/td>\r\n1967<\/td>\r\n<\/tr>\r\n
        Police<\/td>\r\n[latex]260.35[\/latex]<\/td>\r\n[latex]269.8[\/latex]<\/td>\r\n[latex]272.04[\/latex]<\/td>\r\n[latex]272.96[\/latex]<\/td>\r\n[latex]272.51[\/latex]<\/td>\r\n[latex]261.34[\/latex]<\/td>\r\n[latex]268.89[\/latex]<\/td>\r\n<\/tr>\r\n
        Homicides<\/td>\r\n[latex]8.6[\/latex]<\/td>\r\n[latex]8.9[\/latex]<\/td>\r\n[latex]8.52[\/latex]<\/td>\r\n[latex]8.89[\/latex]<\/td>\r\n[latex]13.07[\/latex]<\/td>\r\n[latex]14.57[\/latex]<\/td>\r\n[latex]21.36[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n
        Year<\/td>\r\n1968<\/td>\r\n1969<\/td>\r\n1970<\/td>\r\n1971<\/td>\r\n1972<\/td>\r\n1973<\/td>\r\n<\/tr>\r\n
        Police<\/td>\r\n[latex]295.99[\/latex]<\/td>\r\n[latex]319.87[\/latex]<\/td>\r\n[latex]341.43[\/latex]<\/td>\r\n[latex]356.59[\/latex]<\/td>\r\n[latex]376.69[\/latex]<\/td>\r\n[latex]390.19[\/latex]<\/td>\r\n<\/tr>\r\n
        Homicides<\/td>\r\n[latex]28.03[\/latex]<\/td>\r\n[latex]31.49[\/latex]<\/td>\r\n[latex]37.39[\/latex]<\/td>\r\n[latex]46.26[\/latex]<\/td>\r\n[latex]47.24[\/latex]<\/td>\r\n[latex]52.33[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
          \r\n \t
        1. Construct a double time series graph using a common [latex]x[\/latex]-axis for both sets of data.<\/li>\r\n \t
        2. Which variable increased the fastest? Explain.<\/li>\r\n \t
        3. Did Detroit\u2019s increase in police officers have an impact on the murder rate? Explain.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
          \r\n
          \r\n\r\n25. Suppose that three book publishers were interested in the number of fiction paperbacks adult consumers purchase per month. Each publisher conducted a survey. In the survey, adult consumers were asked the number of fiction paperbacks they had purchased the previous month. The results are as follows:\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Publisher A<\/span><\/caption>\r\n
          # of books<\/th>\r\nFreq.<\/th>\r\nRel. Freq.<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
          [latex]0[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]1[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]2[\/latex]<\/td>\r\n[latex]16[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]3[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]4[\/latex]<\/td>\r\n[latex]8[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]5[\/latex]<\/td>\r\n[latex]6[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]6[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]8[latex]<\/td>\r\n[latex]2[latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Publisher B<\/span><\/caption>\r\n
          # of books<\/th>\r\nFreq.<\/th>\r\nRel. Freq.<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
          [latex]0[\/latex]<\/td>\r\n[latex]18[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]1[\/latex]<\/td>\r\n[latex]24[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]2[\/latex]<\/td>\r\n[latex]24[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]3[\/latex]<\/td>\r\n[latex]22[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]4[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]5[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]7[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]9[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
          Publisher C<\/span><\/caption>\r\n
          # of books<\/th>\r\nFreq.<\/th>\r\nRel. Freq.<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
          [latex]0\u20131[\/latex]<\/td>\r\n[latex]20[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]2\u20133[\/latex]<\/td>\r\n[latex]35[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]4\u20135[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]6\u20137[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
          [latex]8\u20139[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
            \r\n \t
          1. Find the relative frequencies for each survey. Write them in the charts.<\/li>\r\n \t
          2. Using either a graphing calculator, computer, or by hand, use the frequency column to construct a histogram for each publisher's survey. For Publishers A and B, make bar widths of one. For Publisher C, make bar widths of two.<\/li>\r\n \t
          3. In complete sentences, give two reasons why the graphs for Publishers A and B are not identical.<\/li>\r\n \t
          4. Would you have expected the graph for Publisher C to look like the other two graphs? Why or why not?<\/li>\r\n \t
          5. Make new histograms for Publisher A and Publisher B. This time, make bar widths of two.<\/li>\r\n \t
          6. Now, compare the graph for Publisher C to the new graphs for Publishers A and B. Are the graphs more similar or more different? Explain your answer.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
            \r\n
            \r\n\r\n26. Often, cruise ships conduct all on-board transactions, with the exception of gambling, on a cashless basis. At the end of the cruise, guests pay one bill that covers all onboard transactions. Suppose that [latex]60[\/latex] single travelers and [latex]70[\/latex] couples were surveyed as to their on-board bills for a seven-day cruise from Los Angeles to the Mexican Riviera. Following is a summary of the bills for each group.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
            Singles<\/span><\/caption>\r\n
            Amount($)<\/th>\r\nFrequency<\/th>\r\nRel. Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
            [latex]51\u2013100[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]101\u2013150[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]151\u2013200[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]201\u2013250[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]251\u2013300[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]301\u2013350[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
            Couples<\/span><\/caption>\r\n
            Amount($)<\/th>\r\nFrequency<\/th>\r\nRel. Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
            [latex]100\u2013150[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]201\u2013250[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]251\u2013300[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]301\u2013350[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]351\u2013400[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]401\u2013450[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]451\u2013500[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]501\u2013550[\/latex]<\/td>\r\n[latex]10[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]551\u2013600[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n
            [latex]601\u2013650[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
              \r\n \t
            1. Fill in the relative frequency for each group.<\/li>\r\n \t
            2. Construct a histogram for the singles group. Scale the [latex]x[\/latex]-axis by [latex]$50[\/latex] widths. Use relative frequency on the [latex]y[\/latex]-axis.<\/li>\r\n \t
            3. Construct a histogram for the couples group. Scale the [latex]x[\/latex]-axis by [latex]$50[\/latex] widths. Use relative frequency on the [latex]y[\/latex]-axis.<\/li>\r\n \t
            4. Compare the two graphs:\r\n
                \r\n \t
              1. List two similarities between the graphs.<\/li>\r\n \t
              2. List two differences between the graphs.<\/li>\r\n \t
              3. Overall, are the graphs more similar or different?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
              4. Construct a new graph for the couples by hand. Since each couple is paying for two individuals, instead of scaling the [latex]x[\/latex]-axis by [latex]$50[\/latex], scale it by [latex]$100[\/latex]. Use relative frequency on the [latex]y[\/latex]-axis.<\/li>\r\n \t
              5. Compare the graph for the singles with the new graph for the couples:\r\n
                  \r\n \t
                1. List two similarities between the graphs.<\/li>\r\n \t
                2. Overall, are the graphs more similar or different?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                3. How did scaling the couples graph differently change the way you compared it to the singles graph?<\/li>\r\n \t
                4. Based on the graphs, do you think that individuals spend the same amount, more or less, as singles as they do person by person as a couple? Explain why in one or two complete sentences.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                  <\/div>\r\n<\/div>\r\n
                  <\/div>\r\n
                  \r\n
                  \r\n\r\n27. Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                  # of movies<\/th>\r\nFrequency<\/th>\r\nRelative Frequency<\/th>\r\nCumulative Relative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                  [latex]0[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
                  [latex]1[\/latex]<\/td>\r\n[latex]9[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
                  [latex]2[\/latex]<\/td>\r\n[latex]6[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
                  [latex]3[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
                  [latex]4[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                    \r\n \t
                  1. Construct a histogram of the data.<\/li>\r\n \t
                  2. Complete the columns of the chart.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n\r\n
                    \r\n\r\nUse the following information to answer the next two exercises:<\/em><\/strong>\r\n\r\nSuppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than [latex]$19[\/latex] each.\r\n\"A\r\n
                    \r\n
                    \r\n\r\n28. The percentage of people who own at most three t-shirts costing more than [latex]$19[\/latex] each is approximately:\r\n
                      \r\n \t
                    1. [latex]21[\/latex]<\/li>\r\n \t
                    2. [latex]59[\/latex]<\/li>\r\n \t
                    3. [latex]41[\/latex]<\/li>\r\n \t
                    4. Cannot be determined<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                      <\/div>\r\n<\/div>\r\n
                      <\/div>\r\n
                      \r\n
                      \r\n\r\n29. If the data were collected by asking the first [latex]111[\/latex] people who entered the store, then the type of sampling is:\r\n
                        \r\n \t
                      1. cluster<\/li>\r\n \t
                      2. simple random<\/li>\r\n \t
                      3. stratified<\/li>\r\n \t
                      4. convenience<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n\r\n
                        \r\n\r\n
                        \r\n
                        \r\n\r\n30. Following are the 2010 obesity rates by U.S. states and Washington, DC.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                        State<\/th>\r\nPercent (%)<\/th>\r\nState<\/th>\r\nPercent (%)<\/th>\r\nState<\/th>\r\nPercent (%)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                        Alabama<\/td>\r\n[latex]32.2[\/latex]<\/td>\r\nKentucky<\/td>\r\n[latex]31.3[\/latex]<\/td>\r\nNorth Dakota<\/td>\r\n[latex]27.2[\/latex]<\/td>\r\n<\/tr>\r\n
                        Alaska<\/td>\r\n[latex]24.5[\/latex]<\/td>\r\nLouisiana<\/td>\r\n[latex]31.0[\/latex]<\/td>\r\nOhio<\/td>\r\n[latex]29.2[\/latex]<\/td>\r\n<\/tr>\r\n
                        Arizona<\/td>\r\n[latex]24.3[\/latex]<\/td>\r\nMaine<\/td>\r\n[latex]26.8[\/latex]<\/td>\r\nOklahoma<\/td>\r\n[latex]30.4[\/latex]<\/td>\r\n<\/tr>\r\n
                        Arkansas<\/td>\r\n[latex]30.1[\/latex]<\/td>\r\nMaryland<\/td>\r\n[latex]27.1[\/latex]<\/td>\r\nOregon<\/td>\r\n[latex]26.8[\/latex]<\/td>\r\n<\/tr>\r\n
                        California<\/td>\r\n[latex]24.0[\/latex]<\/td>\r\nMassachusetts<\/td>\r\n[latex]23.0[\/latex]<\/td>\r\nPennsylvania<\/td>\r\n[latex]28.6[\/latex]<\/td>\r\n<\/tr>\r\n
                        Colorado<\/td>\r\n[latex]21.0[\/latex]<\/td>\r\nMichigan<\/td>\r\n[latex]30.9[\/latex]<\/td>\r\nRhode Island<\/td>\r\n[latex]25.5[\/latex]<\/td>\r\n<\/tr>\r\n
                        Connecticut<\/td>\r\n[latex]22.5[\/latex]<\/td>\r\nMinnesota<\/td>\r\n[latex]24.8[\/latex]<\/td>\r\nSouth Carolina<\/td>\r\n[latex]31.5[\/latex]<\/td>\r\n<\/tr>\r\n
                        Delaware<\/td>\r\n[latex]28.0[\/latex]<\/td>\r\nMississippi<\/td>\r\n[latex]34.0[\/latex]<\/td>\r\nSouth Dakota<\/td>\r\n[latex]27.3[\/latex]<\/td>\r\n<\/tr>\r\n
                        Washington, DC<\/td>\r\n[latex]22.2[\/latex]<\/td>\r\nMissouri<\/td>\r\n[latex]30.5[\/latex]<\/td>\r\nTennessee<\/td>\r\n[latex]30.8[\/latex]<\/td>\r\n<\/tr>\r\n
                        Florida<\/td>\r\n[latex]26.6[\/latex]<\/td>\r\nMontana<\/td>\r\n[latex]23.0[\/latex]<\/td>\r\nTexas<\/td>\r\n[latex]31.0[\/latex]<\/td>\r\n<\/tr>\r\n
                        Georgia<\/td>\r\n[latex]29.6[\/latex]<\/td>\r\nNebraska<\/td>\r\n[latex]26.9[\/latex]<\/td>\r\nUtah<\/td>\r\n[latex]22.5[\/latex]<\/td>\r\n<\/tr>\r\n
                        Hawaii<\/td>\r\n[latex]22.7[\/latex]<\/td>\r\nNevada<\/td>\r\n[latex]22.4[\/latex]<\/td>\r\nVermont<\/td>\r\n[latex]23.2[\/latex]<\/td>\r\n<\/tr>\r\n
                        Idaho<\/td>\r\n[latex]26.5[\/latex]<\/td>\r\nNew Hampshire<\/td>\r\n[latex]25.0[\/latex]<\/td>\r\nVirginia<\/td>\r\n[latex]26.0[\/latex]<\/td>\r\n<\/tr>\r\n
                        Illinois<\/td>\r\n[latex]28.2[\/latex]<\/td>\r\nNew Jersey<\/td>\r\n[latex]23.8[\/latex]<\/td>\r\nWashington<\/td>\r\n[latex]25.5[\/latex]<\/td>\r\n<\/tr>\r\n
                        Indiana<\/td>\r\n[latex]29.6[\/latex]<\/td>\r\nNew Mexico<\/td>\r\n[latex]25.1[\/latex]<\/td>\r\nWest Virginia<\/td>\r\n[latex]32.5[\/latex]<\/td>\r\n<\/tr>\r\n
                        Iowa<\/td>\r\n[latex]28.4[\/latex]<\/td>\r\nNew York<\/td>\r\n[latex]23.9[\/latex]<\/td>\r\nWisconsin<\/td>\r\n[latex]26.3[\/latex]<\/td>\r\n<\/tr>\r\n
                        Kansas<\/td>\r\n[latex]29.4[\/latex]<\/td>\r\nNorth Carolina<\/td>\r\n[latex]27.8[\/latex]<\/td>\r\nWyoming<\/td>\r\n[latex]25.1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nConstruct a bar graph of obesity rates of your state and the four states closest to your state. Hint: Label the [latex]x[\/latex]-axis with the states.\r\n\r\n<\/div>\r\n

                        Measures of the Location of the Data<\/h2>\r\n
                        31. Listed are 29 ages for Academy Award winning best actors in order from smallest to largest.<\/em>\r\n[latex]18[\/latex]; [latex]21[\/latex]; [latex]22[\/latex]; [latex]25[\/latex]; [latex]26[\/latex]; [latex]27[\/latex]; [latex]29[\/latex]; [latex]30[\/latex]; [latex]31[\/latex]; [latex]33[\/latex]; [latex]36[\/latex]; [latex]37[\/latex]; [latex]41[\/latex]; [latex]42[\/latex]; [latex]47[\/latex]; [latex]52[\/latex]; [latex]55[\/latex]; [latex]57[\/latex]; [latex]58[\/latex]; [latex]62[\/latex]; [latex]64[\/latex]; [latex]67[\/latex]; [latex]69[\/latex]; [latex]71[\/latex]; [latex]72[\/latex]; [latex]73[\/latex]; [latex]74[\/latex]; [latex]76[\/latex]; [latex]77[\/latex]\r\n
                          \r\n \t
                        1. Find the [latex]40[\/latex]th<\/sup> percentile.<\/li>\r\n \t
                        2. Find the [latex]78[\/latex]th<\/sup> percentile.<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                          <\/div>\r\n
                          <\/div>\r\n
                          \r\n
                          \r\n\r\n32. Listed are [latex]32[\/latex] ages for Academy Award winning best actors in order from smallest to largest.<\/em>[latex]18[\/latex]; [latex]18[\/latex]; [latex]21[\/latex]; [latex]22[\/latex]; [latex]25[\/latex]; [latex]26[\/latex]; [latex]27[\/latex]; [latex]29[\/latex]; [latex]30[\/latex]; [latex]31[\/latex]; [latex]31[\/latex]; [latex]33[\/latex]; [latex]36[\/latex]; [latex]37[\/latex]; [latex]37[\/latex]; [latex]41[\/latex]; [latex]42[\/latex]; [latex]47[\/latex]; [latex]52[\/latex]; [latex]55[\/latex]; [latex]57[\/latex]; [latex]58[\/latex]; [latex]62[\/latex]; [latex]64[\/latex]; [latex]67[\/latex]; [latex]69[\/latex]; [latex]71[\/latex]; [latex]72[\/latex]; [latex]73[\/latex]; [latex]74[\/latex]; [latex]76[\/latex]; [latex]77[\/latex]\r\n
                            \r\n \t
                          1. Find the percentile of [latex]37[\/latex].<\/li>\r\n \t
                          2. Find the percentile of [latex]72[\/latex].<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                            \r\n
                            33. Jesse was ranked [latex]37[\/latex]th<\/sup> in his graduating class of 180 students. At what percentile is Jesse\u2019s ranking?<\/div>\r\n<\/div>\r\n
                            \r\n
                            \r\n
                              \r\n \t
                            1. For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?<\/li>\r\n \t
                            2. The [latex]20[\/latex]th<\/sup> percentile of run times in a particular race is [latex]5.2[\/latex] minutes. Write a sentence interpreting the [latex]20[\/latex]th<\/sup> percentile in the context of the situation.<\/li>\r\n \t
                            3. A bicyclist in the [latex]90[\/latex]th<\/sup> percentile of a bicycle race completed the race in [latex]1[\/latex] hour and [latex]12[\/latex] minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the [latex]90[\/latex]th<\/sup> percentile in the context of the situation.<\/li>\r\n \t
                            4. For runners in a race, a higher speed means a faster run. Is it more desirable to have a speed with a high or a low percentile when running a race?<\/li>\r\n \t
                            5. The [latex]40[\/latex]th<\/sup> percentile of speeds in a particular race is [latex]7.5[\/latex] miles per hour. Write a sentence interpreting the [latex]40[\/latex]th<\/sup> percentile in the context of the situation.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                              \r\n
                              34. On an exam, would it be more desirable to earn a grade with a high or low percentile? Explain.<\/div>\r\n<\/div>\r\n
                              \r\n
                              35. Mina is waiting in line at the Department of Motor Vehicles (DMV). Her wait time of [latex]32[\/latex] minutes is the [latex]85[\/latex]th<\/sup> percentile of wait times. Is that good or bad? Write a sentence interpreting the [latex]85[\/latex]th<\/sup> percentile in the context of this situation.<\/div>\r\n<\/div>\r\n
                              \r\n
                              36. In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the [latex]78[\/latex]th<\/sup> percentile. Should Li be pleased or upset by this result? Explain.<\/div>\r\n<\/div>\r\n
                              \r\n
                              37. In a study collecting data about the repair costs of damage to automobiles in a certain type of crash tests, a certain model of car had [latex]$1,700[\/latex] in damage and was in the [latex]90[\/latex]th<\/sup> percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the [latex]90[\/latex]th<\/sup> percentile in the context of this problem.<\/div>\r\n
                              <\/div>\r\n<\/div>\r\n
                              38. The University of California has two criteria used to set admission standards for freshman to be admitted to a college in the UC system:<\/div>\r\n
                              \r\n
                              \r\n
                                \r\n \t
                              1. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an \"admissions index\" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top [latex]12[\/latex]% of high school students in the state. In this context, what percentile does the top [latex]12[\/latex]% represent?<\/li>\r\n \t
                              2. Students whose GPAs are at or above the [latex]96[\/latex]th<\/sup> percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top [latex]12[\/latex]% of all students in the state. What percentage of students from each high school are \"eligible in the local context\"?<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                \r\n
                                39. Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the [latex]34[\/latex]th<\/sup> percentile. The [latex]34[\/latex]th<\/sup> percentile of housing prices is [latex]$240,000[\/latex] in the town you want to move to. In this town, can you afford [latex]34[\/latex]% of the houses or [latex]66[\/latex]% of the houses?<\/div>\r\n
                                <\/div>\r\n<\/div>\r\n
                                40. Use 39\u00a0to calculate the following values:<\/div>\r\n
                                \r\n
                                \r\n\r\nFirst quartile = _______\r\n\r\n<\/div>\r\n<\/div>\r\n
                                \r\n
                                \r\n\r\nSecond quartile = median = [latex]50[\/latex]th<\/sup> percentile = _______\r\n\r\n<\/div>\r\n
                                Third quartile = _______<\/div>\r\n<\/div>\r\n
                                \r\n
                                \r\n\r\nInterquartile range ([latex]IQR[\/latex]) = _____ \u2013 _____ = _____\r\n\r\n<\/div>\r\n
                                [latex]10[\/latex]th<\/sup> percentile = _______<\/div>\r\n<\/div>\r\n
                                \r\n
                                [latex]70[\/latex]th<\/sup> percentile = _______<\/div>\r\n
                                41. The median age for U.S. blacks currently is [latex]30.9[\/latex] years; for U.S. whites it is [latex]42.3[\/latex] years.Based upon this information, give two reasons why the black median age could be lower than the white median age.\u00a0Does the lower median age for blacks necessarily mean that blacks die younger than whites? Why or why not?\u00a0How might it be possible for blacks and whites to die at approximately the same age, but for the median age for whites to be higher?<\/div>\r\n<\/div>\r\n \r\n
                                \r\n
                                \r\n\r\n42. Six hundred adult Americans were asked by telephone poll, \"What do you think constitutes a middle-class income?\" The results are in the table. Also, include left endpoint, but not the right endpoint.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                Salary ($)<\/th>\r\nRelative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                <[latex]20,000[\/latex]<\/td>\r\n[latex]0.02[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]20,000\u201325,000[\/latex]<\/td>\r\n[latex]0.09[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]25,000\u201330,000[\/latex]<\/td>\r\n[latex]0.19[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]30,000\u201340,000[\/latex]<\/td>\r\n[latex]0.26[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]40,000\u201350,000[\/latex]<\/td>\r\n[latex]0.18[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]50,000\u201375,000[\/latex]<\/td>\r\n[latex]0.17[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]75,000\u201399,999[\/latex]<\/td>\r\n[latex]0.02[\/latex]<\/td>\r\n<\/tr>\r\n
                                [latex]100,000+[\/latex]<\/td>\r\n[latex]0.01[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                                  \r\n \t
                                1. What percentage of the survey answered \"not sure\"?<\/li>\r\n \t
                                2. What percentage think that middle-class is from [latex]$25,000[\/latex] to [latex]$50,000[\/latex]?<\/li>\r\n \t
                                3. Construct a histogram of the data.\r\n
                                    \r\n \t
                                  1. Should all bars have the same width, based on the data? Why or why not?<\/li>\r\n \t
                                  2. How should the <[latex]20,000[\/latex] and the [latex]100,000+[\/latex] intervals be handled? Why?<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                                  3. Find the [latex]40[\/latex]th<\/sup> and [latex]80[\/latex]th<\/sup> percentiles<\/li>\r\n \t
                                  4. Construct a bar graph of the data<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                                    <\/div>\r\n<\/div>\r\n
                                    <\/div>\r\n
                                    \r\n
                                    \r\n\r\n43. Given the following box plot:\r\n
                                    \"This<\/span><\/figure>\r\n
                                      \r\n \t
                                    1. Which quarter has the smallest spread of data? What is that spread?<\/li>\r\n \t
                                    2. Which quarter has the largest spread of data? What is that spread?<\/li>\r\n \t
                                    3. Find the interquartile range ([latex]IQR[\/latex]).<\/li>\r\n \t
                                    4. Are there more data in the interval [latex]5\u201310[\/latex] or in the interval [latex]10\u201313[\/latex]? How do you know this?<\/li>\r\n \t
                                    5. Which interval has the fewest data in it? How do you know this?\r\n
                                        \r\n \t
                                      1. [latex]0\u20132[\/latex]<\/li>\r\n \t
                                      2. [latex]2\u20134[\/latex]<\/li>\r\n \t
                                      3. [latex]10\u201312[\/latex]<\/li>\r\n \t
                                      4. [latex]12\u201313[\/latex]<\/li>\r\n \t
                                      5. need more information<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                        \r\n
                                        \r\n\r\n44. The following box plot shows the U.S. population for 1990, the latest available year.\r\n
                                        \"A<\/span><\/figure>\r\n
                                          \r\n \t
                                        1. Are there fewer or more children (age [latex]17[\/latex] and under) than senior citizens (age [latex]65[\/latex] and over)? How do you know?<\/li>\r\n \t
                                        2. [latex]12.6%[\/latex] are age [latex]65[\/latex] and over. Approximately what percentage of the population are working age adults (above age [latex]17[\/latex] to age [latex]65[\/latex])?<\/li>\r\n<\/ol>\r\n

                                          Box Plots<\/h2>\r\n
                                          \r\n
                                          \r\n\r\n45. In a survey of [latex]20[\/latex]-year-olds in China, Germany, and the United States, people were asked the number of foreign countries they had visited in their lifetime. The following box plots display the results.\r\n
                                          \"This<\/span><\/figure>\r\n
                                            \r\n \t
                                          1. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected.<\/li>\r\n \t
                                          2. Have more Americans or more Germans surveyed been to over eight foreign countries?<\/li>\r\n \t
                                          3. Compare the three box plots. What do they imply about the foreign travel of [latex]20[\/latex]-year-old residents of the three countries when compared to each other?<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                            \r\n
                                            \r\n\r\n46. Given the following box plot, answer the questions.\r\n
                                            \"This<\/span><\/figure>\r\n
                                              \r\n \t
                                            1. Think of an example (in words) where the data might fit into the above box plot. In [latex]2\u20135[\/latex] sentences, write down the example.<\/li>\r\n \t
                                            2. What does it mean to have the first and second quartiles so close together, while the second to third quartiles are far apart?<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                              \r\n
                                              \r\n\r\n47. Given the following box plots, answer the questions.\r\n
                                              \"This<\/span><\/figure>\r\n
                                                \r\n \t
                                              1. In complete sentences, explain why each statement is false.\r\n
                                                  \r\n \t
                                                1. Data 1<\/strong> has more data values above two than Data 2<\/strong> has above two.<\/li>\r\n \t
                                                2. The data sets cannot have the same mode.<\/li>\r\n \t
                                                3. For Data 1<\/strong>, there are more data values below four than there are above four.<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t
                                                4. For which group, Data 1 or Data 2, is the value of \u201c[latex]7[\/latex]\u201d more likely to be an outlier? Explain why in complete sentences.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                                  \r\n
                                                  \r\n\r\n48. A survey was conducted of [latex]130[\/latex] purchasers of new BMW 3 series cars, [latex]130[\/latex] purchasers of new BMW 5 series cars, and [latex]130[\/latex] purchasers of new BMW 7 series cars. In it, people were asked the age they were when they purchased their car. The following box plots display the results.\r\n
                                                  \"This<\/span><\/figure>\r\n
                                                    \r\n \t
                                                  1. In complete sentences, describe what the shape of each box plot implies about the distribution of the data collected for that car series.<\/li>\r\n \t
                                                  2. Which group is most likely to have an outlier? Explain how you determined that.<\/li>\r\n \t
                                                  3. Compare the three box plots. What do they imply about the age of purchasing a BMW from the series when compared to each other?<\/li>\r\n \t
                                                  4. Look at the BMW 5 series. Which quarter has the smallest spread of data? What is the spread?<\/li>\r\n \t
                                                  5. Look at the BMW 5 series. Which quarter has the largest spread of data? What is the spread?<\/li>\r\n \t
                                                  6. Look at the BMW 5 series. Estimate the interquartile range ([latex]IQR[\/latex]).<\/li>\r\n \t
                                                  7. Look at the BMW 5 series. Are there more data in the interval [latex]31[\/latex] to [latex]38[\/latex] or in the interval [latex]45[\/latex] to [latex]55[\/latex]? How do you know this?<\/li>\r\n \t
                                                  8. Look at the BMW 5 series. Which interval has the fewest data in it? How do you know this?\r\n
                                                      \r\n \t
                                                    1. [latex]31\u201335[\/latex]<\/li>\r\n \t
                                                    2. [latex]38\u201341[\/latex]<\/li>\r\n \t
                                                    3. [latex]41\u201364[\/latex]<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n
                                                      \u00a049. Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:<\/div>\r\n<\/div>\r\n
                                                      \r\n
                                                      \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                      # of movies<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                      [latex]0[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]1[\/latex]<\/td>\r\n[latex]9[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]2[\/latex]<\/td>\r\n[latex]6[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]3[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]4[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nConstruct a box plot of the data.\r\n\r\n<\/div>\r\n<\/div>\r\n
                                                      \r\n
                                                      \r\n\r\n50. Santa Clara County, CA, has approximately [latex]27,873[\/latex] Japanese-Americans. Their ages are as follows:\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                      Age Group<\/th>\r\nPercent of Community<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                      [latex]0\u201317[\/latex]<\/td>\r\n[latex]18.9[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]18\u201324[\/latex]<\/td>\r\n[latex]8.0[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]25\u201334[\/latex]<\/td>\r\n[latex]22.8[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]35\u201344[\/latex]<\/td>\r\n[latex]15.0[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]45\u201354[\/latex]<\/td>\r\n[latex]13.1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]55\u201364[\/latex]<\/td>\r\n[latex]11.9[\/latex]<\/td>\r\n<\/tr>\r\n
                                                      [latex]65+[\/latex]<\/td>\r\n[latex]10.3[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                                                        \r\n \t
                                                      1. Construct a histogram of the Japanese-American community in Santa Clara County, CA. The bars will not<\/strong> be the same width for this example. Why not? What impact does this have on the reliability of the graph?<\/li>\r\n \t
                                                      2. What percentage of the community is under age [latex]35[\/latex]?<\/li>\r\n \t
                                                      3. Which box plot most resembles the information above?<\/li>\r\n<\/ol>\r\n
                                                        \"Three<\/span><\/figure>\r\n<\/div>\r\n
                                                        \r\n

                                                        Measures of the Center of the Data<\/h2>\r\n
                                                        \r\n
                                                        \r\n\r\n51. Find the mean for the following frequency tables.\r\n
                                                          \r\n \t
                                                        1. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                          Grade<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                          [latex]49.5\u201359.5[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]59.5\u201369.5[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]69.5\u201379.5[\/latex]<\/td>\r\n[latex]8[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]79.5\u201389.5[\/latex]<\/td>\r\n[latex]12[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]89.5\u201399.5[\/latex]<\/td>\r\n[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
                                                        2. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                          Daily Low Temperature<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                          [latex]49.5\u201359.5[\/latex]<\/td>\r\n[latex]53[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]59.5\u201369.5[\/latex]<\/td>\r\n[latex]32[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]69.5\u201379.5[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]79.5\u201389.5[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]89.5\u201399.5[\/latex]<\/td>\r\n[latex]0[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n \t
                                                        3. \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                          Points per Game<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                          [latex]49.5\u201359.5[\/latex]<\/td>\r\n[latex]14[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]59.5\u201369.5[\/latex]<\/td>\r\n[latex]32[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]69.5\u201379.5[\/latex]<\/td>\r\n[latex]15[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]79.5\u201389.5[\/latex]<\/td>\r\n[latex]23[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]89.5\u201399.5[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n\r\n
                                                          \r\n\r\nUse the following information to answer the next three exercises:<\/em> The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: [latex]16[\/latex]; [latex]17[\/latex]; [latex]19[\/latex]; [latex]20[\/latex]; [latex]20[\/latex]; [latex]21[\/latex]; [latex]23[\/latex]; [latex]24[\/latex]; [latex]25[\/latex]; [latex]25[\/latex]; [latex]25[\/latex]; [latex]26[\/latex]; [latex]26[\/latex]; [latex]27[\/latex]; [latex]27[\/latex]; [latex]27[\/latex]; [latex]28[\/latex]; [latex]29[\/latex]; [latex]30[\/latex]; [latex]32[\/latex]; [latex]33[\/latex]; [latex]33[\/latex]; [latex]34[\/latex]; [latex]35[\/latex]; [latex]37[\/latex]; [latex]39[\/latex]; [latex]40[\/latex]\r\n
                                                          \r\n
                                                          52. Calculate the mean.<\/div>\r\n
                                                          53.\u00a0Identify the median.<\/div>\r\n<\/div>\r\n
                                                          54. Identify the mode.<\/div>\r\n
                                                          <\/div><\/figure>\r\n<\/div>\r\n\r\n
                                                          \r\n\r\nUse the following information to answer the next three exercises:<\/em> Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars. Calculate the following:\r\n
                                                          \r\n
                                                          55. sample mean = [latex]\\bar{x}[\/latex] = _______<\/div>\r\n<\/div>\r\n
                                                          \r\n
                                                          56. median = _______<\/div>\r\n<\/div>\r\n
                                                          \r\n
                                                          \r\n\r\n57. mode = _______\r\n\r\n
                                                          \r\n\r\n<\/div>\r\n<\/div>\r\n
                                                          \r\n
                                                          \r\n\r\n58. The most obese countries in the world have obesity rates that range from [latex]11.4[\/latex]% to [latex]74.6[\/latex]%. This data is summarized in the following table.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                          Percent of Population Obese<\/th>\r\nNumber of Countries<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                          [latex]11.4\u201320.45[\/latex]<\/td>\r\n[latex]29[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]20.45\u201329.45[\/latex]<\/td>\r\n[latex]13[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]29.45\u201338.45[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]38.45\u201347.45[\/latex]<\/td>\r\n[latex]0[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]47.45\u201356.45[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]56.45\u201365.45[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]65.45\u201374.45[\/latex]<\/td>\r\n[latex]0[\/latex]<\/td>\r\n<\/tr>\r\n
                                                          [latex]74.45\u201383.45[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                                                            \r\n \t
                                                          1. What is the best estimate of the average obesity percentage for these countries?<\/li>\r\n \t
                                                          2. The United States has an average obesity rate of [latex]33.9[\/latex]%. Is this rate above average or below?<\/li>\r\n \t
                                                          3. How does the United States compare to other countries?<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                                            \r\n
                                                            \r\n\r\n59.\u00a0The table\u00a0gives the percent of children under five considered to be underweight. What is the best estimate for the mean percentage of underweight children?\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                            Percent of Underweight Children<\/th>\r\nNumber of Countries<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                            [latex]16\u201321.45[\/latex]<\/td>\r\n[latex]23[\/latex]<\/td>\r\n<\/tr>\r\n
                                                            [latex]21.45\u201326.9[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n
                                                            [latex]26.9\u201332.35[\/latex]<\/td>\r\n[latex]9[\/latex]<\/td>\r\n<\/tr>\r\n
                                                            [latex]32.35\u201337.8[\/latex]<\/td>\r\n[latex]7[\/latex]<\/td>\r\n<\/tr>\r\n
                                                            [latex]37.8\u201343.25[\/latex]<\/td>\r\n[latex]6[\/latex]<\/td>\r\n<\/tr>\r\n
                                                            [latex]43.25\u201348.7[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
                                                            <\/div>\r\n<\/div>\r\n
                                                            \r\n
                                                            \r\n\r\n60. Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed [latex]100[\/latex] shoppers. The samples yielded the following information.\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                            <\/th>\r\nJavier<\/th>\r\nErcilia<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                            [latex]\\bar{x}[\/latex]<\/td>\r\n[latex]6.0[\/latex] miles<\/td>\r\n[latex]6.0[\/latex] miles<\/td>\r\n<\/tr>\r\n
                                                            [latex]s[\/latex]<\/td>\r\n[latex]4.0[\/latex] miles<\/td>\r\n[latex]7.0[\/latex] miles<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                                                              \r\n \t
                                                            1. How can you determine which survey was correct ?<\/li>\r\n \t
                                                            2. Explain what the difference in the results of the surveys implies about the data.<\/li>\r\n \t
                                                            3. If the two histograms depict the distribution of values for each supervisor, which one depicts Ercilia's sample? How do you know?\r\n
                                                              <\/div>\r\n
                                                              \"This<\/span><\/figure>\r\n<\/li>\r\n \t
                                                            4. If the two box plots depict the distribution of values for each supervisor, which one depicts Ercilia\u2019s sample? How do you know?\r\n
                                                              <\/div>\r\n
                                                              \"This<\/span><\/figure>\r\n<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n\r\n
                                                              \r\n\r\nUse the following information to answer the next three exercises<\/em>: We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                              Number of years<\/th>\r\nFrequency<\/th>\r\nNumber of years<\/th>\r\nFrequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                              <\/td>\r\n<\/td>\r\n<\/td>\r\nTotal = [latex]20[\/latex]<\/td>\r\n<\/tr>\r\n<\/tfoot>\r\n
                                                              [latex]7[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n[latex]22[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                              [latex]14[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n[latex]23[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                              [latex]15[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n[latex]26[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n<\/tr>\r\n
                                                              [latex]18[\/latex]<\/td>\r\n[latex]1[\/latex]<\/td>\r\n[latex]40[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n
                                                              [latex]19[\/latex]<\/td>\r\n[latex]4[\/latex]<\/td>\r\n[latex]42[\/latex]<\/td>\r\n[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n
                                                              [latex]20[\/latex]<\/td>\r\n[latex]3[\/latex]<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
                                                              \r\n
                                                              \r\n\r\n61. What is the [latex]IQR[\/latex]?\r\n
                                                                \r\n \t
                                                              1. [latex]8[\/latex]<\/li>\r\n \t
                                                              2. [latex]11[\/latex]<\/li>\r\n \t
                                                              3. [latex]15[\/latex]<\/li>\r\n \t
                                                              4. [latex]35[\/latex]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                                                \r\n
                                                                \r\n\r\n62. What is the mode?\r\n
                                                                  \r\n \t
                                                                1. [latex]19[\/latex]<\/li>\r\n \t
                                                                2. [latex]19.5[\/latex]<\/li>\r\n \t
                                                                3. [latex]14[\/latex] and [latex]20[\/latex]<\/li>\r\n \t
                                                                4. [latex]22.65[\/latex]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n
                                                                  \r\n
                                                                  \r\n\r\n63. Is this a sample or the entire population?\r\n
                                                                    \r\n \t
                                                                  1. sample<\/li>\r\n \t
                                                                  2. entire population<\/li>\r\n \t
                                                                  3. neither<\/li>\r\n<\/ol>\r\n

                                                                    Skewness and the Mean, Median, and Mode<\/h2>\r\nUse the following information to answer the next three exercises:<\/em> State whether the data are symmetrical, skewed to the left, or skewed to the right.\r\n
                                                                    \r\n
                                                                    64. [latex]1[\/latex]; [latex]1[\/latex]; [latex]1[\/latex]; [latex]2[\/latex]; [latex]2[\/latex]; [latex]2[\/latex]; [latex]2[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]3[\/latex]; [latex]4[\/latex]; [latex]4[\/latex]; [latex]4[\/latex]; [latex]5[\/latex]; [latex]5[\/latex]<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    65. [latex]16[\/latex]; [latex]17[\/latex]; [latex]19[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]; [latex]23[\/latex]<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n66. [latex]87[\/latex]; [latex]87[\/latex]; [latex]87[\/latex]; [latex]87[\/latex]; [latex]87[\/latex]; [latex]88[\/latex]; [latex]89[\/latex]; [latex]89[\/latex]; [latex]90[\/latex]; [latex]91[\/latex]\r\n\r\n
                                                                    \r\n\r\n<\/div>\r\n
                                                                    <\/div>\r\n<\/div>\r\n
                                                                    67. When the data are skewed left, what is the typical relationship between the mean and median?<\/div>\r\n
                                                                    \r\n
                                                                    68. When the data are symmetrical, what is the typical relationship between the mean and median?<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    69. What word describes a distribution that has two modes?<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n70. Describe the shape of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n71. Describe the relationship between the mode and the median of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    72. Describe the relationship between the mean and the median of this distribution.\"This<\/span><\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n73. Describe the shape of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n74. Describe the relationship between the mode and the median of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n75. Are the mean and the median the exact same in this distribution? Why or why not?\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n76. Describe the shape of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n
                                                                    <\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n77. Describe the relationship between the mode and the median of this distribution.\r\n
                                                                    \"This<\/span><\/figure>\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    78. Describe the relationship between the mean and the median of this distribution.\"This<\/span><\/div>\r\n<\/div>\r\n
                                                                    <\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n79. The mean and median for the data are the same.[latex]3[\/latex]; [latex]4[\/latex]; [latex]5[\/latex]; [latex]5[\/latex]; [latex]6[\/latex]; [latex]6[\/latex]; [latex]6[\/latex]; [latex]6[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]; [latex]7[\/latex]\r\n\r\nIs the data perfectly symmetrical? Why or why not?\r\n\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n80. Which is the greatest, the mean, the mode, or the median of the data set?[latex]11[\/latex]; [latex]11[\/latex]; [latex]12[\/latex]; [latex]12[\/latex]; [latex]12[\/latex]; [latex]12[\/latex]; [latex]13[\/latex]; [latex]15[\/latex]; [latex]17[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]; [latex]22[\/latex]\r\n\r\n<\/div>\r\n
                                                                    \r\n\r\n81. Which is the least, the mean, the mode, and the median of the data set?\r\n\r\n[latex]56[\/latex]; [latex]56[\/latex]; [latex]56[\/latex]; [latex]58[\/latex]; [latex]59[\/latex]; [latex]60[\/latex]; [latex]62[\/latex]; [latex]64[\/latex]; [latex]64[\/latex]; [latex]65[\/latex]; [latex]67[\/latex]\r\n\r\n<\/div>\r\n
                                                                    \r\n
                                                                    82. Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?<\/div>\r\n
                                                                    \r\n\r\n83. In a perfectly symmetrical distribution, when would the mode be different from the mean and median?\r\n\r\n<\/div>\r\n<\/div>\r\n
                                                                    \r\n
                                                                    \r\n\r\n84. The median age of the U.S. population in 1980 was [latex]30.0[\/latex] years. In 1991, the median age was [latex]33.1[\/latex] years.\r\n
                                                                      \r\n \t
                                                                    1. What does it mean for the median age to rise?<\/li>\r\n \t
                                                                    2. Give two reasons why the median age could rise.<\/li>\r\n \t
                                                                    3. For the median age to rise, is the actual number of children less in 1991 than it was in 1980? Why or why not?<\/li>\r\n<\/ol>\r\n

                                                                      Measures of the Spread of the Data<\/h2>\r\nUse the following information to answer the next two exercises<\/em>:\r\nThe following data are the distances between [latex]20[\/latex] retail stores and a large distribution center. The distances are in miles. \u00a0[latex]29[\/latex]; [latex]37[\/latex]; [latex]38[\/latex]; [latex]40[\/latex]; [latex]58[\/latex]; [latex]67[\/latex]; [latex]68[\/latex]; [latex]69[\/latex]; [latex]76[\/latex]; [latex]86[\/latex]; [latex]87[\/latex]; [latex]95[\/latex]; [latex]96[\/latex]; [latex]96[\/latex]; [latex]99[\/latex]; [latex]106[\/latex]; [latex]112[\/latex]; [latex]127[\/latex]; [latex]145[\/latex]; [latex]150[\/latex]\r\n
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                                                                      85. Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.<\/div>\r\n<\/div>\r\n
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                                                                      86. Find the value that is one standard deviation below the mean.<\/div>\r\n<\/div>\r\n\r\n
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                                                                      \r\n\r\n87. Two baseball players, Fredo and Karl, on different teams wanted to find out who had the higher batting average when compared to his team. Which baseball player had the higher batting average when compared to his team?\r\n\r\n\r\n\r\n\r\n\r\n\r\n
                                                                      Baseball Player<\/th>\r\nBatting Average<\/th>\r\nTeam Batting Average<\/th>\r\nTeam Standard Deviation<\/th>\r\n<\/tr>\r\n<\/thead>\r\n
                                                                      Fredo<\/td>\r\n[latex]0.158[\/latex]<\/td>\r\n[latex]0.166[\/latex]<\/td>\r\n[latex]0.012[\/latex]<\/td>\r\n<\/tr>\r\n
                                                                      Karl<\/td>\r\n[latex]0.177[\/latex]<\/td>\r\n[latex]0.189[\/latex]<\/td>\r\n[latex]0.015[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n
                                                                      <\/div>\r\n<\/div>\r\n
                                                                      \u00a088. Use the table above\u00a0to find the value that is three standard deviations:<\/div>\r\n
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