Empirical Rule Worksheet
This worksheet focuses on applying the Empirical Rule to understand normal distributions and calculate probabilities.
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Empirical Rule Practice
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Read each question carefully and use the Empirical Rule to solve the problems. Show all your work.
1. According to the Empirical Rule, approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?
50%
68%
95%
99.7%
2. For a normal distribution with a mean of 70 and a standard deviation of 5, what range contains approximately 95% of the data?
65-75
60-80
55-85
70-80
3. The Empirical Rule is also known as the rule.
4. In a normal distribution, about 99.7% of the data falls within standard deviations of the mean.
5. The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 100. What percentage of students scored between 400 and 600?
6. A factory produces light bulbs with a mean lifespan of 10,000 hours and a standard deviation of 500 hours. Assuming the lifespan is normally distributed, what is the range in which 95% of the light bulbs will fall?
Use the diagram below to answer the following questions.
7. What percentage of data lies between μ - 2σ and μ + 2σ?
8. What percentage of data lies above μ + 3σ?
9. The Empirical Rule can be applied to any distribution, regardless of its shape.
True
False
10. If a data set has a mean of 100 and a standard deviation of 10, then approximately 68% of the data will be between 90 and 110.
True
False