Question

Choose the statement that is true.

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
B) For a normal distribution, 68% of the distribution is within 3 standard deviations.
C) For a normal distribution, 95% of the distribution is within 3 standard deviations.
D) For a normal distribution, 100% of the distribution is within 3 standard deviations.

Answer 1

A: For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

Explanation:

Answer 2

Answer: option A is correct

Explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.