Question

Employeet at a corporation are ranked on a performance scale 1-100. Scores are normally distributed with a mean of 60. George and employee at the company was given a score of 67. He has since been bragging to his friends that he is an extremely superior employee because his score is higher than the average score. What other piece of information about the distribution do we need to know in order to make sense of George's score? Why is this important ?

Answer 1

Employee performance scores are normally distributed with a mean of 60.

It is given that George and employee at the company was given a score of 67

In order to make sense of George's score, we need to know standard deviation for the scores

It is important, because standard deviation indicates spread of data from mean. Standard deviation close to 0 indicates that the data points are very close to the mean. In this case George's score is superior.

High standard deviation indicates that the data points are spread over a wider range of values. In this case George's score would be less superior.