The trend of thinner beauty pageant winners has generated ch

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 21.9 22.1 22.4 20.3 18.8 18.9 19.3 18.4 19.1

BMI (from recent winners) 19.4 20.3 19.7 20.1 17.8 17.9 19.1 18.9 17.6 16.7

The coefficient of variation for the BMI\'s of beauty pageant winners from the 1920s and 1930s is_ %

The coefficient of variation for the BMI\'s of recent beauty pageant winners is _%

Is there a difference in variation between the two data sets?

A.The BMI\'s of recent beauty pageant winners have considerably less variation than the BMI\'s of winners from the 1920s and 1930s.

B.The BMI\'s of beauty pageant winners from the 1920s and 1930s have considerably less variation than the BMI\'s of recent winners.

C.There is no significant difference in the variations.

Solution

The coefficient of variation for the BMI\'s of beauty pageant winners from the 1920s and 1930s is_ 7.44672 %

The coefficient of variation for the BMI\'s of recent beauty pageant winners is 6.371542 %

yes there is a significance betweeb two groups