The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. What is the z-score test result of 1800 points?

1 Answer
Nov 5, 2017

z~~1.333

Explanation:

The formula to solve for z-scores is:

z = (X - mu)/sigma

With X being the value of interest, mu being the mean of the normal distribution, and sigma being the standard deviation of the normal distribution.

In this case, we have mu = 1700 and sigma = 75. We can substitute these values and find z:

z = (1800 - 1700)/75 = 100/75 = 4/3 ~~ 1.333