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 47 and a standard deviation of 8. Find the percent of data within the following intervals

less than 47

Answer 1

50%

Probability of less than the mean is always 50%

this looks like a trick question

UNLESS possibly, maybe you're dealing with integers only, such that "less than 47" means less than or equal to 46, similar to ages usually listed only as integer number of years.

then use 46.5 -47 =-.5

.5/8 = 1/16 = about .0625 = the z score

using an on line calculator

area under the curve is 0.47508 = 47.508% = a little less than 50%