Question

Suppose you have a set of normally distributed data where the mean is 100 and the standard deviation is 15. what score is located at +3 standard deviations?

Answer 1

Given is mean of normal distribution 100 and standard deviation 15.

μ =100, σ =15

The score which is located at 3 standard deviation is

mean + (3* standard deviation)

= μ + (3* σ)

= 100 + (3* 15)

=100 + 45

=145

The score which is located at 3 standard deviation is 145