Statistic

This box plot displays information about the number of text messages some students sent one day. What is the median number of texts sent by students?

• 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.

Ten students each attempted 10 free throws. This list shows how many free throws each student made. What is the median number of free throws made?

• 6.5

• 65

• 6

• 7

Ten students each attempted 10 free throws. This list shows how many free throws each student made. What is the IQR (interquartile range)?

• 8

• 5

• 3

• 13

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.

Which of the following is the best example of a statistical question?

• How much money does the average architect make in a year?

• Who is the wealthiest person in the world?

• How long did it take to build the largest building in the United States?

• Where is the largest building in the United States?

What are the missing numbers in the data set? Assume the numbers are in order from least to greatest.

_____, 20, 23, _____, 27

Mean = 22 Range = 11

• 16, 25

• 5, 35

• 16, 24

• 19, 25

Karly collected data about the number of hours students spend on the internet each week. She determined the five-number summary to be: 0.5 ~ 4 ~ 6 ~ 7.5 ~ 11 Which of the following statements are true? Choose all that apply.

• 50% of the people watched between 4 and 7.5 hours of TV.

• Nobody watched more than 11 hours.

• 75% of the people watched at least 4 hours of TV.

• The range of the data is 3.5 hours.

• Half of the people watched more than 6 hours.

Eva asked ten of her friends how many birthday cards they got for their most recent birthday. The responses were as follows: 3, 2, 1, 0, 3, 4, 2, 1, 0, 1

Find the mean