The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $100. What is the z-score for an income of $2,100?
A)1.00
B)2.00
C)1.683
D)−0.90

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula $z = \frac{(X - \mu)}{\sigma}$, where $X$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the values, $z = \frac{(2100 - 2000)}{100} = 1$.

The Weekly Incomes of a Large Group of Executives Are