Normal Distribution Worksheet 2

Use combinations, ordered arrangements and explicitly approximate normal-distribution rules.

easy: Start with the preview and follow the worked example.

15 problems · 20-25 minutes · Skills: statistics, normal distribution, data analysis

About This Worksheet

This easy-level worksheet contains 15 problems designed for 11th Grade students practicing normal distribution. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Factor polynomials, use exponent laws and solve equations with domain restrictions.

Use combinations, ordered arrangements and explicitly approximate normal-distribution rules.
Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A variable is normally distributed with mean 65 and standard deviation 3. Using the 68–95–99.7 rule, approximately what percent is between 62 and 68?

Solution Steps:

The bounds are 1 standard deviation(s) from the mean.
The empirical rule gives approximately 68% in that interval.

Answer: Approximately 68%

Tip: Check your result using the method in the example before moving to the next question.

Paper Include separate answer key in PDF

A variable is normally distributed with mean 59 and standard deviation 8. Using the 68–95–99.7 rule, approximately what percent is between 51 and 67?

A variable is normally distributed with mean 60 and standard deviation 6. Using the 68–95–99.7 rule, approximately what percent is between 48 and 72?

A variable is normally distributed with mean 85 and standard deviation 2. Using the 68–95–99.7 rule, approximately what percent is between 79 and 91?

A variable is normally distributed with mean 73 and standard deviation 6. Using the 68–95–99.7 rule, approximately what percent is between 67 and 79?

A variable is normally distributed with mean 100 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 90 and 110?

A variable is normally distributed with mean 87 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 72 and 102?

A variable is normally distributed with mean 59 and standard deviation 3. Using the 68–95–99.7 rule, approximately what percent is between 56 and 62?

A variable is normally distributed with mean 76 and standard deviation 4. Using the 68–95–99.7 rule, approximately what percent is between 68 and 84?

A variable is normally distributed with mean 90 and standard deviation 6. Using the 68–95–99.7 rule, approximately what percent is between 72 and 108?

A variable is normally distributed with mean 89 and standard deviation 9. Using the 68–95–99.7 rule, approximately what percent is between 80 and 98?

A variable is normally distributed with mean 86 and standard deviation 10. Using the 68–95–99.7 rule, approximately what percent is between 66 and 106?

A variable is normally distributed with mean 95 and standard deviation 10. Using the 68–95–99.7 rule, approximately what percent is between 65 and 125?

A variable is normally distributed with mean 76 and standard deviation 9. Using the 68–95–99.7 rule, approximately what percent is between 67 and 85?

A variable is normally distributed with mean 81 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 71 and 91?

A variable is normally distributed with mean 83 and standard deviation 8. Using the 68–95–99.7 rule, approximately what percent is between 59 and 107?

Answer Key

1. Approximately 68%2. Approximately 95%3. Approximately 99.7%4. Approximately 68%5. Approximately 95%6. Approximately 99.7%7. Approximately 68%8. Approximately 95%9. Approximately 99.7%10. Approximately 68%11. Approximately 95%12. Approximately 99.7%13. Approximately 68%14. Approximately 95%15. Approximately 99.7%

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This worksheet focuses on statistics, normal distribution, data analysis. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

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This worksheet contains 15 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.