Calculating the Mean and Median of a Data Set: Background You’ll Need 3

Comparing Groups with Dotplots

Now let’s make comparisons of a single variable across two groups using first dotplots, then histograms.

interactive example

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.

  1. Based on what you know about dotplots and histograms, which graph would be more helpful for determining which group is larger?
  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?

 

The following dotplots compare the numbers of classes missed between two groups of students: those who abstain from drinking alcohol (“Abstain”) and those who consume large amounts of alcohol each week (“Heavy”). Note that “Moderate” and “Light” drinkers are excluded here.

Two dot plots are shown. In the first, it shows the number of classes missed by students who abstain from drinking alcohol. 16 students missed 0 classes. 10 students missed 1 class. 4 students missed 2 classes. One student missed 4 classes. One student missed 14 classes. One student missed 15 classes. One student missed 20 classes. The second dot plot shows the number of classes missed by students who drink heavily. 4 students missed 0 classes. 2 students missed 1 class. 3 students missed 2 classes. 4 students missed 3 classes. 1 student missed 4 classes. 1 student missed 5 classes. 1 student missed 6 classes.

question 10

question 11

question 12