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

Answer:

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

Step-by-step explanation:

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

$CV = \frac{\sigma}{\mu}$

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

$\mu = 500, \sigma = 80$

$CV = \frac{\sigma}{\mu} = \frac{80}{500} = 0.16$

2004

$\mu = 560, \sigma = 84$

$CV = \frac{\sigma}{\mu} = \frac{84}{560} = 0.15$

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