Grade 8 Standard Deviation Worksheet

Explore standard deviation with this worksheet for 8th graders, covering calculations, interpretations, and applications in data analysis.

Grade 8 Math Probability and StatisticsStandard Deviation

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TextFill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

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

Topics

mathgrade 8standard deviationstatisticsdata analysis

8 sections · Free to use · Printable

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Standard Deviation Practice

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Read each question carefully and follow the instructions. Show all your work for calculation problems.

Standard deviation measures the average amount of variability or dispersion in a dataset. A low standard deviation indicates that data points are generally close to the mean, while a high standard deviation indicates that data points are spread out over a wider range of values.

1. Standard deviation tells us how much the data points from the .

2. A small standard deviation means the data is clustered the mean.

3. A large standard deviation means the data is out.

4. Consider two sets of test scores: Set A: {85, 88, 90, 87, 86} and Set B: {70, 95, 80, 100, 85}. Without calculating, which set do you think has a larger standard deviation and why?

5. Which of the following is NOT a measure of data variability?

Range

Mean

Variance

Standard Deviation

6. A small business has 5 employees. Their monthly salaries are: $2500, $2600, $2700, $2800, $2900. Another business also has 5 employees, and their salaries are: $2000, $2500, $3000, $3500, $4000. Which business likely has a higher standard deviation in salaries? Explain your reasoning.

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

True

False