Question

What is the value this is -3 standard deviations from the mean?

Answer 1

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

$z=\frac{x-\mu}{\sigma}$

Where $\mu$ = 62

$\sigma$ = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

$-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x$