Teachers at Central High School earn a mean salary of $45,000,with a standard deviation of $2,500.Those at Midlands High School earn an average of $30,000,but a standard deviation of $7,000.Which of these two have the largest variation in salary?
A)Central High School
B)Midlands High School
C)Both have the same variation
D)Cannot discern from information given.
E)The standard deviation is not appropriate for this study.

Question

Quizplus · Accepted Answer

The standard deviation is a measure of variation, so we can compare the standard deviations for each school to determine which has the larger variation. The standard deviation at Midlands High School is $7,000, which is greater than the standard deviation of $2,500 at Central High School. Therefore, Midlands High School has the larger variation in salary.

Teachers at Central High School Earn a Mean Salary of $45,000,with