Question

use the box - and - whisker plot to answer the questions below.
(a) which of the following intervals gives the middle 50% of the data?
36 to 48
36 to 40
40 to 48
32 to 40
(b) what is the difference of the largest number and the smallest number of people served by the tours? (that is, what is the range of the data?)
(c) which of these best describes the numbers of people served by the tours?
the number of people served was below 40 for more tours than it was above 40.
the number of people served was above 40 for more tours than it was below 40.
the number of people served was below 40 for the same number of tours that it was above 40.

Explanation:

Step1: Recall the property of box - and - whisker plot

The middle 50% of the data in a box - and - whisker plot is represented by the inter - quartile range (the box part of the plot).

Step2: Analyze the box - and - whisker plot

Looking at the box - and - whisker plot, the lower quartile \(Q_1\) and upper quartile \(Q_3\) define the middle 50% of the data. If we assume the values of the quartiles (from the plot, we can see that the box starts around 40 and ends around 48).

Answer:

(a) 40 to 48