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?

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