Normal Distribution Worksheet 1

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 75 and standard deviation 8. Using the 68–95–99.7 rule, approximately what percent is between 67 and 83?

A variable is normally distributed with mean 89 and standard deviation 7. Using the 68–95–99.7 rule, approximately what percent is between 75 and 103?

A variable is normally distributed with mean 62 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 47 and 77?

A variable is normally distributed with mean 61 and standard deviation 10. Using the 68–95–99.7 rule, approximately what percent is between 51 and 71?

A variable is normally distributed with mean 84 and standard deviation 6. Using the 68–95–99.7 rule, approximately what percent is between 72 and 96?

A variable is normally distributed with mean 53 and standard deviation 4. Using the 68–95–99.7 rule, approximately what percent is between 41 and 65?

A variable is normally distributed with mean 79 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 74 and 84?

A variable is normally distributed with mean 97 and standard deviation 3. Using the 68–95–99.7 rule, approximately what percent is between 91 and 103?

A variable is normally distributed with mean 69 and standard deviation 6. Using the 68–95–99.7 rule, approximately what percent is between 51 and 87?

A variable is normally distributed with mean 94 and standard deviation 8. Using the 68–95–99.7 rule, approximately what percent is between 86 and 102?

A variable is normally distributed with mean 57 and standard deviation 5. Using the 68–95–99.7 rule, approximately what percent is between 47 and 67?

A variable is normally distributed with mean 75 and standard deviation 3. Using the 68–95–99.7 rule, approximately what percent is between 66 and 84?

A variable is normally distributed with mean 66 and standard deviation 2. Using the 68–95–99.7 rule, approximately what percent is between 64 and 68?

A variable is normally distributed with mean 92 and standard deviation 2. Using the 68–95–99.7 rule, approximately what percent is between 88 and 96?

A variable is normally distributed with mean 67 and standard deviation 3. Using the 68–95–99.7 rule, approximately what percent is between 58 and 76?

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.