Statistics questions

Question

A set of exam scores is normally distributed with a mean = 76 and standard deviation = 7.

Use the Empirical Rule to complete the following sentences.

68% of the scores are between   and  .

95% of the scores are between   and  .

99.7% of the scores are between   and  .

Answer 1

Hi Wendy!

The key concept to remember here is that for Normal distributions, the empirical rule indicates that 68%, 95%, and 99.7% of the data fall within 1, 2, and 3 standard deviations of the mean, respectively.

This means:

68% of the scores are between 69 and 83

95% of the scores are between 62 and 90

99.7% of the scores are between 55 and 97