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Standard Deviation Worksheet

Explore standard deviation with this Grade 9 math worksheet, covering calculations, interpretation, and application to data sets.

Grade 9 Math Probability and StatisticsStandard Deviation
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

standard deviationstatisticsdata analysismathgrade 9
7 sections · Free to use · Printable
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Standard Deviation Practice

Name:

Date:

Score:

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

1. Standard deviation is a measure of the   of a data set from its mean.

2. A small standard deviation indicates that data points are generally   to the mean.

3. The square of the standard deviation is called the  .

4. Calculate the mean of the following data set: {2, 4, 6, 8, 10}.

5. Calculate the standard deviation of the data set: {2, 4, 6, 8, 10}.

6. Which of the following data sets would likely have the largest standard deviation?

a

{5, 5, 5, 5, 5}

b

{1, 2, 3, 4, 5}

c

{1, 5, 10, 15, 20}

d

{4, 5, 6, 7, 8}

7. A standard deviation of zero means all data points are identical.

T

True

F

False

8. The standard deviation can be a negative value.

T

True

F

False

9. Two classes took the same math test. Class A had a mean score of 75 with a standard deviation of 5. Class B had a mean score of 75 with a standard deviation of 12. Which class had more consistent scores? Explain your reasoning.