What percentage falls within two standard deviations in a normal distribution?

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Multiple Choice

What percentage falls within two standard deviations in a normal distribution?

In a normal distribution, how data spread around the mean is captured 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 standard deviations. Therefore, roughly 95% of observations fall within two standard deviations of the mean. The remaining ~5% are beyond ±2σ, about 2.5% in each tail. The other numbers correspond to the other thresholds (68% for ±1σ, 99.7% for ±3σ, and 50% is not a standard cutoff).

In a normal distribution, how data spread around the mean is captured 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 standard deviations. Therefore, roughly 95% of observations fall within two standard deviations of the mean. The remaining ~5% are beyond ±2σ, about 2.5% in each tail. The other numbers correspond to the other thresholds (68% for ±1σ, 99.7% for ±3σ, and 50% is not a standard cutoff).

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