Grade 6 | Unit 8: Data Sets and Distributions | End-of-Unit Assessment (B)

Select all the true statements.

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

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

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

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

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

Tags

6.SP.B.4

6.SP.B.5

Here is a dot plot of a data set. Which statement is true about the mean of the data set?

• The mean is less than 8.

• The mean is equal to 8.

• The mean is greater than 8.

• There is not enough information to determine the mean.

Tags

6.SP.B.5.c

The ages of people dining in two restaurants are shown in the following box plots. Select all the statements that must be true.

• 
• 
• The youngest person was dining in Restaurant A.

• The IQR (interquartile range) for Restaurant A is equal to the IQR (interquartile range) for Restaurant B.

• Every person dining in Restaurant B is older than everyone dining in Restaurant A.

Tags

6.SP.B.4

6.SP.B.5.c

This box plot displays information about the distance in miles teachers drive to school each day. What is the IQR (interquartile range)? What is the median distance in miles driven by teachers? Is this data set symmetric? Explain how you know.

Tags

6.SP.A.2

6.SP.B.5.c

Two groups of students had a car wash fundraiser every day for a week in the summer. Here are the funds raised from each group.

Group P	Group Q
80	60
60	140
65	80
80	40
70	50
85	90
70	50

Draw two box plots, one for the data in each group. Which group shows greater variability? Explain your reasoning.

Tags

6.SP.B.4

6.SP.B.5

Ten students took a history quiz. This list shows how many questions each student answered correctly. 9, 6, 8, 10, 5, 8, 10, 7, 9, 8 What is the IQR (interquartile range)? What is the mean?

Tags

6.SP.A.3

6.SP.B.5.c

Priya asked some student athletes at her school how many hours each month they spent practicing their sport. Here are a box plot and histogram for the data she collected. How many students did Priya ask? Explain how you know. Is the mean or the median a more appropriate measure of center for this data set? Explain your reasoning. Can Priya use these data displays to find the exact median? Explain how you know. Can Priya use these data displays to find the exact mean? Explain how you know. What would be an appropriate measure of variability for this data set? Find or estimate its value.

Tags

6.SP.B.4

6.SP.B.5.a

6.SP.B.5.c

6.SP.B.5.d