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

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Multiple Choice

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

Explanation:
In a normal distribution, about 95% of observations fall within two standard deviations of the mean. This is the 68-95-99.7 rule: 68% within one standard deviation, 95% within two, and about 99.7% within three. So the correct percentage is 95%. The 68% figure is within one standard deviation, while 75% and 80% do not correspond to these standard intervals.

In a normal distribution, about 95% of observations fall within two standard deviations of the mean. This is the 68-95-99.7 rule: 68% within one standard deviation, 95% within two, and about 99.7% within three. So the correct percentage is 95%. The 68% figure is within one standard deviation, while 75% and 80% do not correspond to these standard intervals.

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