Question

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

Answer 1

x = 44.9

Explanation:

This equation shown falls in the formula for z score:

`z=(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=(x-62)/(5.7)\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x`