Grade 10 Math: Standard Deviation

This worksheet focuses on understanding and calculating standard deviation for Grade 10 math students.

Grade 10 Math Probability and StatisticsStandard Deviation

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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 10standard deviationstatisticsdata analysis

7 sections · Free to use · Printable

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Grade 10 Math: Standard Deviation

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Read each question carefully and answer to the best of your ability. Show all your work for calculation questions.

1. Standard deviation is a measure of the or dispersion of a set of data.

2. A small standard deviation indicates that data points are generally close to the of the data set.

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

4. If all data points in a set are identical, the standard deviation will be .

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

{10, 10, 10, 10, 10}

{5, 6, 7, 8, 9}

{1, 5, 10, 15, 20}

{9, 10, 11, 12, 13}

6. What is the symbol commonly used to represent the population standard deviation?

x̄

7. What does a higher standard deviation imply about a data set?

The data is clustered tightly around the mean.

The data is more spread out from the mean.

The mean of the data set is higher.

There are fewer data points in the set.

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

9. Calculate the standard deviation for the data set in Question 8. Show all your steps.

10. The standard deviation can be a negative value.

True

False

11. The mean is always a good indicator of the central tendency of a data set, regardless of its standard deviation.

True

False

12. Two students, Alex and Ben, took 5 quizzes. Their scores are as follows: Alex: {70, 75, 80, 85, 90} Ben: {60, 70, 80, 90, 100} Without calculating, which student do you think has a higher standard deviation in their quiz scores? Explain your reasoning.

13. A company manufactures light bulbs. They test two batches of bulbs for their lifespan in hours. Batch A has a mean lifespan of 1000 hours with a standard deviation of 50 hours. Batch B has a mean lifespan of 1000 hours with a standard deviation of 150 hours. Which batch would you consider more consistent in terms of lifespan? Why?