MATH SOLVE

4 months ago

Q:
# A set of data has a normal distribution with a mean of 50 and a standard deviation of 8. What percent of the data should fall between 42 and 58?

Accepted Solution

A:

Let's calculate the z scores for 42 and 58:

42 - 50

z = ------------- = -1

8

58-50

z = --------------- = 1

8

so the question becomes: what percent of the data should fall within 1 std. dev. of the mean? Referring to the empirical formula: 68% (answer)

42 - 50

z = ------------- = -1

8

58-50

z = --------------- = 1

8

so the question becomes: what percent of the data should fall within 1 std. dev. of the mean? Referring to the empirical formula: 68% (answer)