In a normal curve, what percentage is within 2 standard deviations of the mean?

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Multiple Choice

In a normal curve, what percentage is within 2 standard deviations of the mean?

Explanation:
In a normal distribution, data are spread around the mean in a predictable way, described by the empirical rule: about 68% lie within one standard deviation, about 95% lie within two standard deviations, and about 99.7% lie within three. So, within two standard deviations of the mean, roughly 95% of the data fall. The 68% option is the count within one standard deviation, not two. The 50% figure isn’t tied to the standard deviation in this context, and 99.5% would correspond to a wider range than two standard deviations.

In a normal distribution, data are spread around the mean in a predictable way, described by the empirical rule: about 68% lie within one standard deviation, about 95% lie within two standard deviations, and about 99.7% lie within three. So, within two standard deviations of the mean, roughly 95% of the data fall. The 68% option is the count within one standard deviation, not two. The 50% figure isn’t tied to the standard deviation in this context, and 99.5% would correspond to a wider range than two standard deviations.

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