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

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.

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

• The mean is less than 5.

• The mean is equal to 5.

• The mean is greater than 5.

• There is not enough information to determine the mean.

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6.SP.B.5.c

The air quality was tested in many office buildings in two cities. The results of the testing are shown in these box plots. A level of less than 50 parts per million is considered healthy. A level of 50 or more parts per million is considered unhealthy. Select all the statements that must be true.

• The lowest recorded measurement was in city Q.

• All buildings tested in city P are in the healthy range.

• The mean for city P is greater than the mean for city Q.

• The range for city Q is greater than the range for city P.

• The median for city P is greater than the median for city Q.

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6.SP.B.5.c

6.SP.B.4

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?

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6.SP.B.5.c

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

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6.SP.B.5.c

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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.

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6.SP.B.5.c

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Two groups went bowling. Here are the scores from each group. Draw two box plots, one for the data in each group. Which group shows greater variability?

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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?

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6.SP.B.5.c

6.SP.A.3

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

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6.SP.B.5.c

6.SP.A.3

Jada asked some students at her school how many hours they spent watching television last week, to the nearest hour. Here are a box plot and a histogram for the data she collected. About how many students did Jada ask? Explain how you know.

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6.SP.B.5.a

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