Answer to Question #272236 in Statistics and Probability for Guru

Question

Teachers in a certain private school have a mean age of 38 years with a standard deviation of 6 years and a mean monthly salary of Php 4,000 with a standard deviation of Php 1,500. Which is more variable: the teachers' ages or their salaries?

Answer 1

Coefficient of variation for the teachers' ages: $CV_a=\frac{6}{38}=0.1579.$

Coefficient of variation for the teachers' salaries: $CV_s=\frac{1500}{4000}=0.375.$

Since $CV_s>CV_a$ , the teachers' salaries is more variable.