Empirical Rule Worksheet
Explore the Empirical Rule (68-95-99.7 rule) for normal distributions with this Grade 8 math worksheet.
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Empirical Rule Worksheet
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Read each question carefully and use your knowledge of the Empirical Rule (68-95-99.7 Rule) to answer.
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. For a normal distribution, approximately % of the data falls within one standard deviation of the mean.
2. The Empirical Rule is also known as the Rule.
3. Approximately 95% of the data in a normal distribution falls within standard deviations of the mean.
4. Almost all data in a normal distribution (99.7%) falls within standard deviations of the mean.
5. In a normal distribution, what percentage of data falls between -1 and +1 standard deviation from the mean?
34%
68%
95%
99.7%
6. If a dataset has a mean of 50 and a standard deviation of 5, what percentage of data would you expect to find between 45 and 55?
34%
68%
95%
99.7%
7. A survey of student heights found a mean height of 65 inches with a standard deviation of 2 inches. Assuming the heights are normally distributed, what range of heights would encompass approximately 95% of the students?
8. The average test score on a math exam was 78 with a standard deviation of 6. What percentage of students scored between 72 and 84?
9. The Empirical Rule applies to all types of data distributions.
True
False
10. According to the Empirical Rule, about 99.7% of data falls within two standard deviations of the mean.
True
False