Question

A biologist records the weights of 4 hippos and 5 cats as follows:

Group 1 (Hippos) - 1941 kg, 1959 kg, 2000 kg, and 2100 kg.

Group 2 (Cats) - 3.4 kg, 3.9 kg, 4.0 kg, 4.2 kg, and 4.5 kg.

To compare the variability of two data sets, which one of the following statistics is most appropriate to use?

Group of answer choices

Range

MD (Mean Deviation).

IQR (Inter Quartile Range).

SD (Standard Deviation).

CRV (Coefficient of Relative Variation).

Answer 1

Solution:

To compare the variability of two data sets, CRV (Coefficient of Relative Variation) is the most appropriate Statistic to use.

Explanation: Coefficient of Relative Variation helps us to compare two completly different populations having different means and standard deviations and different units of measurements. It is given by,

It has no units, hence makes it easier for us to compare the consistency of different samples at a time.

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