Comparing Data Variability

The dot plots below show the number of customers at Mr. Burger and Mr. Chicken during rush hour over the course of 10 days. Which statement correctly compares the distribution of the number of customers at each restaurant during rush hour?

• Mr. Burger's number of customers during rush hour, is greater than Mr. Chicken's number of customers during rush hour.

• Mr. Burger's median number of customers during rush hour, is greater than Mr. Chicken's median number of customers during rush hour.

• There is more variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

• There is less variability in Mr. Chicken's number of customers during rush hour, than Mr. Burger's number of customers during rush hour.

The box-and-whisker plots below show the scores earned by 6th and 7th graders on a year-end reading test. Which statement is best supported by the box-and-whisker plots?

• The range of the 7^th grade scores is greater than the range of the 6^th grade scores.

• The median of the 6^th grade scores is greater than the median of the 7^th grade scores.

• The mean of the 7^th grade scores is less than the mean of the 6^th grade scores.

• The number of 6^th graders who took the test is greater than the number of 7^th graders who took the test.

The data below shows the scores of two groups of ten students on a math quiz and a science quiz.

Math: 72, 92, 88, 67, 54, 58, 64, 76, 65, 72

Science: 84, 78, 56, 89, 54, 68, 75, 78, 84, 60

Based on the data, which statements are true?

• The median score was greater for math, but the variability was greater for science.

• The median score was greater for science, but the variability was greater for math.

• Both the median score and variability for the math scores are less than that of the science scores.

• Both the median score and variability of the math scores are greater than that of the science scores.

• The range for science is less than the range for math.

The box and whisker plots below, illustrate the scores earned by 2 biology classes on a recent test. Select all statements that are supported by the plots above.

• The range of the 3^rd period scores is less than the range of the 5^th period scores.

• The median of the 5^th period scores is greater than the median of the 3^rd period scores.

• The number of students who took the test is larger in the 5^th period class than in the 3^rd period class.

• The interquartile range is the same for both classes.

• The 3^rd period class has a higher median but has a lower range than the 5^th period class.

Which set has greater variability?

• A

• B

Which set has greater variability?

• A

• B

Which measure of center and variability should you use to to compare these data sets? Choose one of each.

• Mean

• Median

• Standard Deviation

• IQR

Which data yields data with variability?

• What year were you born?

• How many siblings does each student in your math class have?

• How tall is the tree in your backyard?

• How old is your dog?

Which measure of variability should you use?

• IQR

• standard deviation

Which measure of variability should you use?

• IQR

• standard deviation