Comparison of Coefficients of Variation

A researcher conducts a study on the test scores of two distinct groups of students preparing for the GRE. Group 1 consists of 50 students, and their scores have a mean of 320 and a standard deviation of 15. Group 2 consists of 75 students, with a mean score of 315 and a standard deviation of 10. The researcher calculates the coefficient of variation (CV) for each group.

The coefficient of variation is defined by the formula:

$$CV =\frac{ ext{Standard Deviation}}{ ext{Mean}} imes 100$$

Based on this information, compare the coefficients of variation for both groups. Which of the following statements is true about Quantity A and Quantity B, where:

Quantity A: Coefficient of Variation for Group 1

Quantity B: Coefficient of Variation for Group 2