Question

MC) The box plot represents the number of tickets sold for a school dance. A horizontal line labeled Number of Tickets sold that starts at 11, with tick marks every one unit up to 25. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 20 on the number line. A line in the box is at 19. The lines outside the box end at 12 and 24. Which of the following is the appropriate measure of variability for the data, and what is its value?

Answer 1

The measure of variability for the box plot is the range (12 tickets) and the interquartile range (IQR), which is 3 tickets.

Step-by-step explanation:

The appropriate measure of variability for the data in the box plot describing the number of tickets sold for a school dance is the range, as well as the interquartile range (IQR). The range is the difference between the maximum value and the minimum value. In this case, the maximum number of tickets sold is 24 and the minimum is 12, giving us a range of 24 - 12 = 12 tickets. The box plot's box extends from the first quartile (Q1) at 17 to the third quartile (Q3) at 20, so the IQR is calculated as Q3 - Q1, which is 20 - 17 = 3 tickets.

Answer 2

Okay, let's break this down step-by-step:

The boxplot shows the distribution of the number of tickets sold for a school dance.

The key features are:

- The box extends from 17 to 20. This represents the interquartile range (IQR).

- The line in the box is at 19. This represents the median.

- The whiskers extend from 12 to 24. This represents the overall range of the data.

The appropriate measure of variability for boxplot data is the interquartile range (IQR).

The IQR is calculated as:

Upper quartile (Q3) - Lower quartile (Q1)

Here, the IQR is 20 - 17 = 3

Therefore, the appropriate measure of variability is the interquartile range, which has a value of 3.