Measures of Variation Worksheet

Grade 12 Math worksheet on understanding and calculating measures of variation including range, interquartile range, variance, and standard deviation.

Grade 12 Math Data and GraphingStatisticsMeasures of Variation

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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.ID.A.2CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

MathGrade 12StatisticsMeasures of VariationStandard DeviationVarianceIQRRange

7 sections · Free to use · Printable

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Measures of Variation

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Read each question carefully and provide clear, concise answers. Show all your work for calculation problems.

1. The is the difference between the highest and lowest values in a data set.

2. The measures the spread of the middle 50% of the data.

3. The square root of the variance is the .

4. A data set with a small standard deviation indicates that the data points are to the mean.

5. Which measure of variation is most affected by outliers?

Interquartile Range

Standard Deviation

Range

Variance

For the following data set: {12, 15, 18, 20, 22, 25, 30}

6. Calculate the range.

7. Calculate the interquartile range (IQR).

Consider the following data set: {5, 7, 8, 10, 12, 16}

8. Calculate the variance of the data set.

9. Calculate the standard deviation of the data set.

10. A larger standard deviation indicates that the data points are more spread out from the mean.

True

False