In a normal curve, what percentage is within 3 standard deviations of the mean?

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Multiple Choice

In a normal curve, what percentage is within 3 standard deviations of the mean?

Explanation:
The normal curve follows the 68-95-99.7 rule: about 68% lie within one standard deviation of the mean, about 95% within two standard deviations, and about 99.7% within three standard deviations. So the percentage within three standard deviations is roughly 99.7%. Among the given options, 99.5% is the closest approximation to that figure, which is why it’s chosen. The 68% and 95% options correspond to one and two standard deviations, not three, and 99.9% is just a bit higher than the actual 99.7%.

The normal curve follows the 68-95-99.7 rule: about 68% lie within one standard deviation of the mean, about 95% within two standard deviations, and about 99.7% within three standard deviations. So the percentage within three standard deviations is roughly 99.7%. Among the given options, 99.5% is the closest approximation to that figure, which is why it’s chosen. The 68% and 95% options correspond to one and two standard deviations, not three, and 99.9% is just a bit higher than the actual 99.7%.

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