Which percentage lies within one standard deviation of the mean in a normal distribution?

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Multiple Choice

Which percentage lies within one standard deviation of the mean in a normal distribution?

Explanation:
A normal distribution shows most data near the mean and fewer as you move away, with the spread set by the standard deviation. The empirical rule states that about 68% of values lie within one standard deviation of the mean. In exact terms, it’s 68.27%, often rounded to 68%. For comparison, about 95% fall within two standard deviations and about 99.7% within three. So the percentage lying within one standard deviation of the mean is 68%.

A normal distribution shows most data near the mean and fewer as you move away, with the spread set by the standard deviation. The empirical rule states that about 68% of values lie within one standard deviation of the mean. In exact terms, it’s 68.27%, often rounded to 68%. For comparison, about 95% fall within two standard deviations and about 99.7% within three. So the percentage lying within one standard deviation of the mean is 68%.

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