Empirical Rule Worksheet
A Grade 9 math worksheet on the Empirical Rule (68-95-99.7 rule) for normally distributed data, including true/false, fill-in-the-blanks, and short answer questions.
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Empirical Rule Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
The Empirical Rule, also known as the 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.
1. The Empirical Rule can be applied to any data distribution.
True
False
2. According to the Empirical Rule, approximately 95% of data falls within one standard deviation of the mean.
True
False
3. For a data set with a normal distribution, approximately of the data will fall within three standard deviations of the mean.
4. The Empirical Rule is also known as the rule.
5. If a data set is normally distributed, about 68% of the data lies between the mean minus one standard deviation and the mean one standard deviation.
6. A set of test scores are normally distributed with a mean of 75 and a standard deviation of 5. What percentage of students scored between 70 and 80?
7. The heights of adult males in a certain city are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. What range of heights would encompass approximately 95% of adult males?
8. Explain why the Empirical Rule is useful in statistics.
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