Question

Which of the following statements about the box-and-whisker plot below is true?

A box-and-whisker plot is shown. The number line goes from 70 to 100. The whiskers range from 72 to 99. The box ranges from 77 to 90, with a median between 80 and 82.


There are more data points inside the data box than there are outside the data box.


The midrange of the data set shown is 81
.


There are fewer data points in the lower two quartiles than in the upper two quartiles.


The midrange of the data set shown is 85.5
.

Answer 1

Answer: The last statement is true.

Explanation: The whiskers show min = 72 and max = 99, so the midrange = (72 + 99)/2 = 171/2 = 85.5. The other statements are false: the box contains 50% of the data (so not more than the 50% outside), and the lower two quartiles contain the same number of data points as the upper two quartiles.