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. 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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This box plot displays information about the number of text messages some students sent one day. 1. What is the median number of texts sent by students? 2. What is the IQR (interquartile range)? 3. Is this data set symmetric? Explain how you know.

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Two groups went bowling. Here are the scores from each group. Group A: 80, 100, 190, 110, 70, 90, 130. Group B: 50, 110, 100, 120, 107, 140, 150. 1. Draw two box plots, one for the data in each group. 2. Which group shows greater variability?

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Ten students each attempted 10 free throws. What is the median number of free throws made? What is the IQR (interquartile range)?

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5

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9

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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. 1. About how many students did Jada ask? Explain how you know. 2. Is the mean or the median a more appropriate measure of center for this data set? Explain your reasoning. 3. Can Jada use these data displays to find the exact median? Explain how you know. 4. Can Jada use these data displays to find the exact mean? Explain how you know. 5. What would be an appropriate measure of variability for this data set? Find or estimate its value.

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