The mean score for a standardized test is 1700 points The re

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?

Solution

The mean score for a standardized test is 1700 points. The results are normally distributed with a standard deviation of 75 points. The z-score of any score x is given by [z = (x - mu)/sigma] where [mu] is the mean equal to 1700 here and [sigma] is the standard deviation equal to 75 here.

The z-score of 1800 = [(1800 - 1700)/75 = 100/75 = 4/3]

The required z-score is [4/3]