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.

Question

Mathematics

Hector Mann

7 August, 05:23

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.

+4

Answers (1)

Know the Answer?

Emma · Answer 1

Answer: option A is correct

Step-by-step 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.