{"id":422,"date":"2022-07-11T16:33:36","date_gmt":"2022-07-11T16:33:36","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/?post_type=chapter&p=422"},"modified":"2022-07-19T20:38:59","modified_gmt":"2022-07-19T20:38:59","slug":"calculating-the-mean-and-median-of-a-data-set-background-youll-need-3","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/calculating-the-mean-and-median-of-a-data-set-background-youll-need-3\/","title":{"raw":"Calculating the Mean and Median of a Data Set: Background You'll Need 3","rendered":"Calculating the Mean and Median of a Data Set: Background You’ll Need 3"},"content":{"raw":"

Comparing Groups with Dotplots<\/h2>\r\nNow let's make comparisons of a single variable across two groups using first dotplots, then histograms.\r\n
\r\n

interactive example<\/h3>\r\nWhen making comparisons of a single variable across two groups, we are often looking for clues that let us know which group is larger or in which group more data appears to the left or right of a particular value of the variable.\r\n
    \r\n \t
  1. Based on what you know about dotplots and histograms, which graph would be more helpful for determining which group is larger?<\/li>\r\n \t
  2. Which graph would be more helpful for determining in which group the bulk of the data lies more to one side of a particular value of the variable?<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"637164\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"637164\"]\r\n
      \r\n \t
    1. The dotplot, since it shows exact number of observations, would be more helpful to determine which group is larger. The histogram doesn't give us information about exactly how many of each value are in each bin of the graph.<\/li>\r\n \t
    2. The histogram, since it shows the data in block (bins), is better for seeing large trends in the distribution. The fine detail in the dotplot can be difficult to use to draw conclusions about broader questions.<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n\r\n \r\n\r\n<\/div>\r\nThe following dotplots compare the numbers of classes missed between two groups of students: those who abstain from drinking alcohol (\u201cAbstain\u201d) and those who consume large amounts of alcohol each week (\u201cHeavy\u201d). Note that \u201cModerate\u201d and \u201cLight\u201d drinkers are excluded here.\r\n\r\n\"Two\r\n
      \r\n

      question 10<\/h3>\r\n[ohm_question hide_question_numbers=1]240958[\/ohm_question]\r\n\r\n[reveal-answer q=\"698730\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"698730\"]What do you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>\r\n
      \r\n

      question 11<\/h3>\r\n[ohm_question hide_question_numbers=1]240959[\/ohm_question]\r\n\r\n[reveal-answer q=\"514538\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"514538\"]Recall that the number of observations are represented by individual dots, one per observation.[\/hidden-answer]\r\n\r\n<\/div>\r\n
      \r\n

      question 12<\/h3>\r\n[ohm_question hide_question_numbers=1]240960[\/ohm_question]\r\n\r\n[reveal-answer q=\"302235\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"302235\"]Recall that the number of observations are represented by individual dots, one per observation.[\/hidden-answer]\r\n\r\n<\/div>","rendered":"

      Comparing Groups with Dotplots<\/h2>\n

      Now let’s make comparisons of a single variable across two groups using first dotplots, then histograms.<\/p>\n

      \n

      interactive example<\/h3>\n

      When making comparisons of a single variable across two groups, we are often looking for clues that let us know which group is larger or in which group more data appears to the left or right of a particular value of the variable.<\/p>\n

        \n
      1. Based on what you know about dotplots and histograms, which graph would be more helpful for determining which group is larger?<\/li>\n
      2. Which graph would be more helpful for determining in which group the bulk of the data lies more to one side of a particular value of the variable?<\/li>\n<\/ol>\n
        Show Answer<\/span><\/p>\n
        \n
          \n
        1. The dotplot, since it shows exact number of observations, would be more helpful to determine which group is larger. The histogram doesn’t give us information about exactly how many of each value are in each bin of the graph.<\/li>\n
        2. The histogram, since it shows the data in block (bins), is better for seeing large trends in the distribution. The fine detail in the dotplot can be difficult to use to draw conclusions about broader questions.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n

           <\/p>\n<\/div>\n

          The following dotplots compare the numbers of classes missed between two groups of students: those who abstain from drinking alcohol (\u201cAbstain\u201d) and those who consume large amounts of alcohol each week (\u201cHeavy\u201d). Note that \u201cModerate\u201d and \u201cLight\u201d drinkers are excluded here.<\/p>\n

          \"Two<\/p>\n

          \n

          question 10<\/h3>\n