sandy wrote:
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Which of the following would the data pattern shown above best describe?
(A) The number of grams of sugar in a selection of drinks is normally distributed.
(B) A number of male high school principals and a larger number of female high school principals have normally distributed salaries, distributed around the same mean.
(C) A number of students have normally distributed heights and a smaller number of taller, adult teachers also have normally distributed heights.
(D) The salary distribution for biologists skews to the left of the median.
(E) The maximum-weight bench presses for a number of male athletes are normally distributed and the maximum-weight bench presses for a smaller number of female athletes are also normally distributed, although around a smaller mean.
The correct answer is C.
On the x-axis we have heights, and on the y-axis we have frequency.
So, the larger bump on the left represents more people then the smaller bump on the right represents.
Also, the people represented in the larger bump are shorter then the people represented in the smaller bump.
All of this satisfies the information in answer choice C.
Here's why E doesn't work....
For E to work, the x-axis would represent bench press weights, and the y-axis would represent frequency.
Since the bump on the right is smaller, it must represent the females, since they have the smaller population.
However, since the smaller bump (representing females) is further to the RIGHT, this means the females are lifting MORE than the males (which contradicts the fact that the female athletes have a smaller mean.
_________________
Brent Hanneson - founder of Greenlight Test Prep