According to the empirical rule, what percentage lie within two standard deviations of the mean?

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Multiple Choice

According to the empirical rule, what percentage lie within two standard deviations of the mean?

Explanation:
In a normal distribution, the empirical rule states that about 95% of the data lie within two standard deviations of the mean. This 68-95-99.7 rule is the handy guideline: roughly 68% within one standard deviation, about 95% within two, and about 99.7% within three. So the value for two standard deviations is 95%. The other numbers don’t fit this standard breakdown (68% for one std dev, 99.7% for three std devs), and 70% isn’t part of the rule. This estimate assumes a roughly bell-shaped, symmetric distribution; real data may vary if the shape isn’t normal.

In a normal distribution, the empirical rule states that about 95% of the data lie within two standard deviations of the mean. This 68-95-99.7 rule is the handy guideline: roughly 68% within one standard deviation, about 95% within two, and about 99.7% within three. So the value for two standard deviations is 95%. The other numbers don’t fit this standard breakdown (68% for one std dev, 99.7% for three std devs), and 70% isn’t part of the rule. This estimate assumes a roughly bell-shaped, symmetric distribution; real data may vary if the shape isn’t normal.

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