Question

Ms. wilson's math test scores are normally distributed with a mean score of 73 (μ) and a standard deviation of 5 (σ). using the empirical rule, about 99.7% of the scores lie between which two values?

Answer 1

Approximately 99.7% of the scores lie between 58 and 88.

Step-by-step explanation:

The empirical rule, also known as the 68-95-99.7 rule, is used to describe the distribution of data in a normal distribution. According to this rule, approximately 99.7% of the scores lie within three standard deviations of the mean. The empirical rule states that for a normal distribution, approximately 99.7% of the scores lie within three standard deviations of the mean.

In this case, the mean score is 73 and the standard deviation is 5.

Using the empirical rule, we can calculate that approximately 99.7% of the scores lie between -

73 - (3 * 5) = 58 and

73 + (3 * 5) = 88.