A distribution has a mean of $25,000 and a standard deviation of $5,000. Which of the following is correct based on applying the Empirical Rule?
A) About 68% of the distribution is between $20,000 and $30,000.
B) About 95% of the distribution is between $20,000 and $30,000.
C) About 95% of the distibution is between $15,000 and $40,000.
D) All of the values fall between $10,000 and $40,000.

Question

Quizplus · Accepted Answer

The Empirical Rule states that approximately 68% of the data falls within one standard deviation of the mean. Here, one standard deviation is $5,000, so 68% of the distribution is between $20,000 ($25,000 - $5,000) and $30,000 ($25,000 + $5,000).

A Distribution Has a Mean of $25,000 and a Standard