A set of data has a normal distribution with a mean of and a standard deviation of . Find the percent of data within the following interval.

Question

A set of data has a normal distribution with a mean of 48 and a standard deviation of 7. Find the percent of data within the following interval.

from 27 to 69

Answer 1

mean = 48

sd = 7

69-48 = 11, 11/7 = the higher z score = 1 4/7 = about 1.5714

27-48 = -21, -21/7 =-3 = the lesser z score

use an online z score calculator to find the area between z=-3 to z=11/7

area = 0.94061

= 94.061%