The trend of thinner beauty pageant winners has generated charges that the conte

Question

The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BMI) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation BMI (from the 1920s and 1930s): 20.4 21.8 22.1 22.2 20.4 18.9 18.9 19.5 18.5 19.2 BMI (from recent winners): 19.5 20.3 19.7 20.1 17.8 17.9 19.2 18.8 17.7 16.7 The coefficient of variation for the BMI's of beauty pageant winners from the 1920s and 1930s is (Round to one decimal place as needed.)

Explanation / Answer

answer 1st question )from given data,

xbar= 20.19,

s=1.4145670715806

So the coefficient of variation for the BMI's of beauty pageant winners from the 1920's and 1930's is

s/xbar
=1.4145670715806/20.19
=0.070063
=7.006276%

ANSWER 2nd question)

x=18.77,s=1.1935474668213

So the coefficient of variation for the BMI's of beauty pageant recent winners

=s=1.1935474668213/x=18.77

=0.063588

=6.3588%

therfore andswer is

option c

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