Question

The side-by-side box plots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). Which of the following best describes the plot?

A. The Best Actresses are generally younger than the Best Actors.
B. There's less diversity in age among the Best Actresses than among the Best Actors.
C. The oldest person winning a Best Actor/Actress award was a man.
D. The youngest man winning a Best Actor award is younger than the youngest woman winning a Best Actress award.

Answer 1

a. the best actresses are generally younger than the best actors

Explanation:

there is more points for women than men and they are also hed at lower ages

Answer 2

A. The Best Actresses are generally younger than the Best Actors.

Explanation:

Now the most important thing here is to have an ability to understand and read the box plot.

Box plot is a graphical representation of data with minimum,first quartile, median, third quartile, maximum and outliers.

Now remember that first horizontal line near base is minimum, then first line of rectangle or box is Q1 or first quartile, then middle line of box is median and last line of box is third quartile or Q3, then final line is maximum and the dots shown are final line are outliers.

Now from the data given, we have to use the elimination method to cancel out all wrong answers.

For B, you can see the boxes are representing ages doesnt show much diversity, they are compact although they are for slightly different age brackets, so b is eliminated.

For C, from outliers one can see that the women is oldest one, around 80 years who got an award, so C is also eliminated.

For D, it is obvious that the woman is youngest to take an award, do D is also eliminated.

Hence we can say that A is the only right answer because we can read that the box plot for women correspond to younger age bracket.