What are the empirical rule properties for a normal distribution?

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Multiple Choice

What are the empirical rule properties for a normal distribution?

Explanation:
The empirical rule for a normal distribution says that about 68% of observations fall within one standard deviation of the mean, about 95% within two standard deviations, and about 99.7% within three standard deviations. This pattern is what the correct choice reflects: roughly 68% in one SD, 95% in two SDs, and 99.7% in three SDs. The other sets of numbers don’t match the well-established percentages of the normal curve—e.g., 95% within one SD is far too high; 100% within three SD would imply every value lies within that range, which isn’t true; and 50% within one SD or 75% within two SDs are also inconsistent with the normal distribution.

The empirical rule for a normal distribution says that about 68% of observations fall within one standard deviation of the mean, about 95% within two standard deviations, and about 99.7% within three standard deviations. This pattern is what the correct choice reflects: roughly 68% in one SD, 95% in two SDs, and 99.7% in three SDs. The other sets of numbers don’t match the well-established percentages of the normal curve—e.g., 95% within one SD is far too high; 100% within three SD would imply every value lies within that range, which isn’t true; and 50% within one SD or 75% within two SDs are also inconsistent with the normal distribution.

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