What percentage lies within three standard deviations above and below the mean?

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Multiple Choice

What percentage lies within three standard deviations above and below the mean?

Explanation:
In a normal distribution, the empirical rule describes how data spread around the mean: about 68% lie within one standard deviation, about 95% within two standard deviations, and about 99.7% within three standard deviations. Therefore, the percentage within three standard deviations of the mean is roughly 99.7%, which is best represented by the 99% option given. The other choices (90%, 97%, 92%) correspond to smaller ranges and do not match the 3-sigma interval as closely.

In a normal distribution, the empirical rule describes how data spread around the mean: about 68% lie within one standard deviation, about 95% within two standard deviations, and about 99.7% within three standard deviations. Therefore, the percentage within three standard deviations of the mean is roughly 99.7%, which is best represented by the 99% option given. The other choices (90%, 97%, 92%) correspond to smaller ranges and do not match the 3-sigma interval as closely.

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