D; The interquartile range of the data for men 20-40 years old is greater than the interquartile range of the data fro men 50-70 years old
Here, using the given boxplots, we want to get the best information that is supported
For any box plot, we have the information in the given order below;
Minimum value
Lower quartile
Median
Upper quartile
Maximum value
For the first box plot; the numbers are;
90,110,130,150,170
For the second box plot, the numbers are;
75, 95,110,125,145
So let us now select the accurate statement;
A) The range is simply the difference between the maximum and minimum values
For 20-40; 170-90 = 80
For 50-70; 145-75 = 70
The first range is greater than the second, so this option is wrong
B) Median for the first is 130, median for the second is 110
Median for the first is greater, so this option is wrong
C) Minimum value for the first is 90, for the second is 75; the second is lesser, so this option is wrong
D) The interquartile range is the difference between the upper and lower quartiles
For the first, 150-110 = 40
For the second; 125-95 = 30
This is the correct option as the interquartile range of the data for men 20-40 years old is greater than the interquartile range of the data fro men 50-70 years old