Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 650 point score?

Question

Suppose you have a normally distributed set of data pertaining to a standardized test. The mean 
score is 500 and the standard deviation is 100. What is the z-score of 650 point score?

mathmale · Answer

Reminder:  the formula for a standardized or z-score is $$z=\frac{ x-\mu }{\sigma }$$
x, the mean (mu) and the std. dev. (sigma) are given.  Find the z-score for this data.

anonymous · Answer

i Don't Understand do i 650=x-100 or am i doing it wrong

mathmale · Answer

Look at the formula I gave you.  I'll walk you through the necessary steps:

1.  subtract the mean from the given x value (650).
2.  Divide the result (the difference) by the standard deviation.

3.  Write z=  (result).

anonymous · Answer

i still don't get it sorry im kind of slow

mathmale · Answer

What is the given x value?
What is the mean?
What is the standard deviation?

mathmale · Answer

Hint:  x=650.

What are the other two values?  Look at the original problem statement, please.