Data and Statistics Review

In order to find the median, the data must be sorted from least to greatest first.

• True

• False

Find the IQR (Q3 - Q1)  of the data

20, 22, 25, 29, 31

• 30

• 21

• 25

• 9

How many people have four books in their desks?

• 2

• 3

• 4

• 5

What is the range of the data shown?

• 85

• 90

• 80

• 70

What percent of students picked vanilla as their favorite ice cream?

• 24%

• 76%

• 20%

• 50%

How many total people took the survey?

• 50

• 150

• 100

• 200

This box plot displays information about the number of text messages some students sent one day. What is the IQR (interquartile range)?

• 10

• 20

• 14

• 26

This box plot displays information about the number of text messages some students sent one day. Is this data set symmetric? Explain how you know.

• Yes. It is equal on both sides of the median.

• Yes. The whiskers are the same width.

• No. The bottom quartile is much wider than the top one.

• No. The top quartile is much wider than the bottom quartile.

Mai drew two box plots to show the scores for two groups of friends who went bowling. Which group shows greater variability?

• The first group shows greater variability because it has a wider range (120) and a wider IQR (50).

• The second group shows greater variability because there is a longer bottom whisker.

• The groups have about the same variability, but the first group had higher scores overall.

Select all the true statements.

• Given a box plot, it is always possible to calculate the mean of the data.

• Given a box plot, it is always possible to calculate the median of the data.

• Given a box plot, it is always possible to construct a corresponding dot plot.

• Given a dot plot, it is always possible to construct a corresponding box plot.

• Given a histogram, it is always possible to construct a corresponding box plot.