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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

User Teeyo
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1 Answer

4 votes

Answer:

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.

User Reut
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