Question

3. Joe has decided to measure what states students are from and GPA in a sample of college students. Which measure of variability should he report for each and why?

3(a): Home States:

3(b): GPA:

Answer 1

(a)

Measure of variability of Home States:

The Coefficient of Unalikeability

Explanation:

Home States is a categorival variable and so the usual measures of variability such as range,variance and standard deviation are not applicable. The Coefficient of Unalikeability, which isdefined to mean how often observations differ from one another is employed.

(b)

Measure of variability of GPA:

Standard Deviation

Explanation:

GPA is a quantitative variable so the usual measures of variability such as range,variance and standard deviation are applicable