With mean 50 and standard deviation 5, what percentage falls within 2 standard deviations of the mean (normal distribution)?

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Multiple Choice

With mean 50 and standard deviation 5, what percentage falls within 2 standard deviations of the mean (normal distribution)?

Explanation:
The question relies on the empirical rule for a normal distribution: about 95% of the data lie within two standard deviations of the mean. Here, two standard deviations equal 2 × 5 = 10, so the interval is 50 ± 10, i.e., from 40 to 60. About 95% of observations fall in that range, so the percentage is approximately 95%.

The question relies on the empirical rule for a normal distribution: about 95% of the data lie within two standard deviations of the mean. Here, two standard deviations equal 2 × 5 = 10, so the interval is 50 ± 10, i.e., from 40 to 60. About 95% of observations fall in that range, so the percentage is approximately 95%.

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