Question

I am working with standard deviation and the empirical rule.
The problem has the heights of basketball players (women) and we first had to turn their heights into feet rounded to hundredths. (eg. 5'10' = 5.83)

The mean came out to be 5.92 which is equivalent to a 5'11" woman and the standard deviation is .22.

I know the next one up is 6.14, 6.36, 6.58, and down is 5.70, 5.48, and 5.26, but how do I equate those to heights?

Such as, if 5.92, the mean is a 5'11" person,, what is the height of a person at 6.14? (I know the answer is 6'0", but do not know how that was obtained)

Answer 1

if std is .22, the 6.14 is 5.92 + 0.22 std
So find that in the Z table

Answer 2

Yes, I understand that -- I need to write the heights back in feet and inches