Question

When Jaya goes bowling, her scores are normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval that would represent the middle 95% of the scores of all the games that Jaya bowls.

Answer 1

Answer: (75, 135)

Explanation:

Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.

In this case our mean is 105 and our deviation is 10.

What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.

105 + 10 + 10 + 10 = 135

105 - 10 - 10 - 10 = 75

Answer: (75, 135)

Answer 2

Explanation:

The answer is 85,125