A sample survey of 20 male students at UNT gave the following data with regard to their weight: Mean = 175; Std. Deviation = 60. A sample of 25 females at UNT is also surveyed concerning their weight. The results were a mean weight of 130 pounds with a standard deviation of 35 pounds. In comparing the male sample above with the female data (male vs. female), using CV, which one is more variable?

A. MaleB. FemaleC. Not enough information to tell

Question

Mathematics

John Snow

6 August, 14:08

A sample survey of 20 male students at UNT gave the following data with regard to their weight: Mean = 175; Std. Deviation = 60. A sample of 25 females at UNT is also surveyed concerning their weight. The results were a mean weight of 130 pounds with a standard deviation of 35 pounds. In comparing the male sample above with the female data (male vs. female), using CV, which one is more variable?

A. MaleB. FemaleC. Not enough information to tell

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Answers (1)

Know the Answer?

Brenton Huerta · Answer 1

A. Male.

Step-by-step explanation:

For the boys:

CV = σ / μ = 60/175 = 0.3429

For the girls:

CV = σ / μ = 35 / 130 = 0.2692

Using the Method of The coefficient of variation (CV), we get 0.3429 > 0.2692. Then, the correct answer is A.

On the other hand, the smaller your range or standard deviation, the lower and better your variability is for further analysis. The range is useful, but the standard deviation is considered the more reliable and useful measure for statistical analyses. In any case, both are necessary for truly understanding patterns in your data.