The Normal Distribution & the 68-95-99.7 Rule (Grade 11)
Free printable Grade 11 Mathematical Methods worksheet introducing the normal distribution through the 68-95-99.7 empirical rule, with intervals computed from mean +/- k standard deviations.
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Grade 11 · Math worksheet
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Date
Math
Probability Distributions: The Normal Distribution & the 68-95-99.7 Rule
Use the 68-95-99.7 empirical rule for the normal distribution. Find each interval mean +/- k standard deviations, or the approximate percentage of values in the stated region.
- 1.A normal distribution has mean 73 and standard deviation 13. Find the interval within 2 standard deviation(s) of the mean.
- 2.A normal distribution has mean 31 and standard deviation 7. Approximately what percentage of values lie outside the interval 10 to 52 (more than 3 standard deviation(s) from the mean)?
- 3.A normal distribution has mean 30 and standard deviation 12. Approximately what percentage of values lie outside the interval 6 to 54 (more than 2 standard deviation(s) from the mean)?
- 4.A normal distribution has mean 15 and standard deviation 10. Approximately what percentage of values lie outside the interval -15 to 45 (more than 3 standard deviation(s) from the mean)?
- 5.A normal distribution has mean 57 and standard deviation 4. Find the interval within 2 standard deviation(s) of the mean.
- 6.A normal distribution has mean 85 and standard deviation 8. Approximately what percentage of values are greater than 101 (more than 2 standard deviation(s) above the mean)?
- 7.A normal distribution has mean 20 and standard deviation 4. Approximately what percentage of values lie outside the interval 16 to 24 (more than 1 standard deviation(s) from the mean)?
- 8.A normal distribution has mean 86 and standard deviation 10. Approximately what percentage of values are greater than 106 (more than 2 standard deviation(s) above the mean)?
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