What percentage of data falls within 1 standard deviation in a normal distribution?

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Multiple Choice

What percentage of data falls within 1 standard deviation in a normal distribution?

Explanation:
In a normal distribution, the spread of values around the mean is measured by the standard deviation, and the data follows a symmetric bell curve. About 68% of the data falls between one standard deviation below and one standard deviation above the mean. This comes from the standard normal distribution result that the area under the curve between μ−σ and μ+σ is roughly 0.6827. The rest of the data lies farther from the mean, with about 95% within two standard deviations and about 99.7% within three. So, for one standard deviation, the correct percentage is 68%.

In a normal distribution, the spread of values around the mean is measured by the standard deviation, and the data follows a symmetric bell curve. About 68% of the data falls between one standard deviation below and one standard deviation above the mean. This comes from the standard normal distribution result that the area under the curve between μ−σ and μ+σ is roughly 0.6827. The rest of the data lies farther from the mean, with about 95% within two standard deviations and about 99.7% within three. So, for one standard deviation, the correct percentage is 68%.

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