Appropriate Center and Variability

Which box plot shows a GREATER VARIABILITY?

• WNBA (top)

• NBA (bottom)

• They have the same variability

Which box plot shows a GREATER VARIABILITY?

• Store A (top)

• Store B (bottom)

• They have the same variability

Which box plot shows a GREATER VARIABILITY?

• Class A (top)

• Class B (bottom)

• They have the same variability

Which box plot shows a GREATER VARIABILITY?

• Montgomery (first)

• Lynchburg (second)

• They have the same variability

Which box plot shows a GREATER VARIABILITY?

• A

• B

• They have the same variability

Which box plot shows a GREATER VARIABILITY?

• A

• B

• They have the same variability

What does VARIABILITY mean?

• How spread out the data is

• Variables, like x and y

• Varies & Changes

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 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 ages of the starting players of two soccer teams are shown below. Knights: 16, 18, 15, 14, 17, 17, 18, 16, 17, 14, 17 Trojans: 18, 14, 17, 15, 15, 14, 16, 18, 16, 18, 16 Based on this data, select all the true statements below.

• The median of ages on the Knights team is greater than the median of ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the median of the ages on the Trojans team.

• The median of ages on the Knights team is one greater than the range of ages on the Trojans team.

• The mean of the ages on the Knights team is less than the mean of the ages on the Trojans team.

• The mean of the ages on the Knights team is greater than the mean of the ages on the Trojans team.