Question

in the fall semester of 2003, the average graduate management admission test (GMAT) of the students at UTC was 500 with a standard deviation of 80. in the fall of 2004, the average GMAT was 560 with a standard deviation of 84. which year's GMAT scores show a more dispersed distribution

Answer 1

The 2003 scores have a higher coefficient of variation, so they are more dispersed

Explanation:

We have to find the coefficient of variation(CV) for both these tests.

`CV = (\sigma)/(\mu)`

In which
`\mu` is the mean and
`\sigma` is the standard deviation.

Whoever has the higher CV has the higher variation, that is, is more dispersed.

2003

`\mu = 500, \sigma = 80`

`CV = (\sigma)/(\mu) = (80)/(500) = 0.16`

2004

`\mu = 560, \sigma = 84`

`CV = (\sigma)/(\mu) = (84)/(560) = 0.15`

The 2003 scores have a higher coefficient of variation, so they are more dispersed.