Measures of Variation

Explore range, interquartile range (IQR), and mean absolute deviation (MAD) with this Grade 6 math worksheet.

Grade 6 Math Data and GraphingStatisticsMeasures of Variation

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.SP.B.5.CCCSS.MATH.CONTENT.6.SP.B.5.D

Topics

mathgrade 6statisticsmeasures of variationrangeIQRMAD

7 sections · Free to use · Printable

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Read each question carefully and answer to the best of your ability. Show all your work where necessary.

1. What is the range of a data set? Explain in your own words.

2. Find the range of the following data set: 12, 15, 9, 20, 18, 10.

3. The interquartile range (IQR) is the difference between the quartile and the quartile.

4. For the data set: 5, 8, 10, 12, 15, 18, 20, the median is .

5. Using the same data set (5, 8, 10, 12, 15, 18, 20), the first quartile (Q1) is and the third quartile (Q3) is .

6. Calculate the IQR for the data set: 5, 8, 10, 12, 15, 18, 20. The IQR is .

7. Which measure of variation describes the average distance between each data point and the mean?

Range

Median

Mean Absolute Deviation

Interquartile Range

8. A data set has a mean of 10. The absolute deviations from the mean are 2, 3, 1, 4. What is the Mean Absolute Deviation (MAD)?

2.5

3.5

9. Calculate the Mean Absolute Deviation (MAD) for the following data set: 8, 10, 12, 14, 16. Show your steps.

Step 1: Find the mean.

Step 2: Find the absolute deviation of each data point from the mean.

Step 3: Find the mean of these absolute deviations.

10. A larger range always means that the data points are more spread out.

True

False

11. The IQR is less affected by outliers than the range.

True

False