In a normal distribution with mu = 25 and sigma = 6 what number corresponds to z = 3?

Question

In a normal distribution with mu = 25 and sigma = 6 what number corresponds to z = 3?

Answer 1

number = sigma * z + mu  = 6 * 3 + 25 = 43

Answer 2

Let x be the number that corresponds to z=3.

Given that u= Mean= 25 and s= standard deviation = 6.

We know that

z = (x-u)/s

i.e., 3 = (x-25)/6

(x-25)/6 = 3

x-25 = 18

     x = 18+25

     x = 43

The number that corresponds to z=3 is 43.

Hope this helps.