The Normal Distribution & the 68-95-99.7 Rule (Grade 12)
Free printable Grade 12 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 12 · Math worksheet
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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 14 and standard deviation 7. Find the interval within 2 standard deviation(s) of the mean.
- 2.A normal distribution has mean 12 and standard deviation 3. Approximately what percentage of values lie outside the interval 9 to 15 (more than 1 standard deviation(s) from the mean)?
- 3.A normal distribution has mean 14 and standard deviation 15. Approximately what percentage of values are greater than 44 (more than 2 standard deviation(s) above the mean)?
- 4.A normal distribution has mean 72 and standard deviation 15. Find the interval within 3 standard deviation(s) of the mean.
- 5.A normal distribution has mean 69 and standard deviation 10. Approximately what percentage of values are greater than 89 (more than 2 standard deviation(s) above the mean)?
- 6.A normal distribution has mean 76 and standard deviation 15. Approximately what percentage of values are greater than 106 (more than 2 standard deviation(s) above the mean)?
- 7.A normal distribution has mean 64 and standard deviation 5. Find the interval within 3 standard deviation(s) of the mean.
- 8.A normal distribution has mean 80 and standard deviation 7. Approximately what percentage of values are greater than 101 (more than 3 standard deviation(s) above the mean)?
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