Question

Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. express the answer as a positive number. 134.9

Answer 1

Given a normal distribution with mean 120 and standard deviation 5.

We have to find number of standard deviations the measurement 134.9 is from the mean . For that we have to find z score corresponding to 134.9

The formula to find z score is

Z =
`(x - mean)/(standard deviation)`

=
`(134.9 - 120)/(5)`

= 2.98

The measurement 134.9 is 2.98 standard deviation from mean