Question

The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of variability for the data, and what is its value?

The IQR is the best measure of variability, and it equals 17.
The range is the best measure of variability, and it equals 4.
The IQR is the best measure of variability, and it equals 4.
The range is the best measure of variability, and it equals 17.

Answer 1

The answer to your problem is, C. The IQR is the best measure of variability, and it equals 4.

Explanation:

Since we can see that the box extends from 17 to 21 on the number line, with a line at 19 inside the box.

It will mean that ‘ Q1 ‘ is 17 and ‘ Q3 ‘ is 21.

Find the ‘ IQR ‘ ;

IQR = Q3 - Q1 = 21 - 17 = 4

Which matches Option C.

Thus the answer to your problem is, C. The IQR is the best measure of variability, and it equals 4.