Find the Coefficient of Variation for Each of the Two

question 167

Multiple Choice

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place.
-Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights (in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed below.

$\begin{array}{llllllllll}\text { Heights (inches) : } & 59.4 & 61.2 & 62.1 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \\\text { Weights (pounds) : } &87 & 94 & 93 & 119 & 96 & 90 & 123 & 98 & 139\end{array}$

• A) Heights: 4.6%
• Weights: 18.3%
• There is substantially more variation in the weights than in the heights of the girls.
• B) Heights: 11.4%
• Weights: 6.5%
• There is substantially more variation in the heights than in the weights of the girls.
• C) Heights: 4.1%
• Weights: 16.5%
• There is substantially more variation in the weights than in the heights of the girls.
• D) Heights: 4.3%
• Weights: 17.3%
• There is substantially more variation in the weights than in the heights of the girls.

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Definitions:

Prosocial Behavior

Behavior that benefits others, such as helping, cooperation, and sympathy.

Altruism

Unselfish acts or behavior by which an individual or group benefits others at their own expense, without expectation of reward or recognition.

Bystander Effect

A social factor that affects prosocial behavior: As the number of bystanders at an emergency increases, the probability that the victim will receive help decreases, and the help, if given, is likely to be delayed.

Catastrophes

Large-scale disasters or events causing great damage or suffering.