Choose the statement that is true.

Question

For a normal distribution, 95% of the distribution is within 3 standard deviations.

For a normal distribution, 68% of the distribution is within 3 standard deviations.

For a normal distribution, 100% of the distribution is within 3 standard deviations.

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

Answer 1

The true statement is:

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

This is known as the empirical rule (or the 68-95-99.7 rule), which describes how data is distributed in a normal distribution.