Question

a tour company gave bus tours last summer. the tour director noted the number of people served by each of the tours. the box-and-whisker plot (sometimes called a boxplot) summarizes the data. box-and-whisker plot image use the box-and-whisker plot to answer the questions below. (a) which of these best describes the numbers of people served by the tours? - the number of people served was below 41 for more tours than it was above 41. - the number of people served was above 41 for more tours than it was below 41. - the number of people served was below 41 for the same number of tours that it was above 41. (b) which of the following intervals gives the middle 50% of the data? - 41 to 53 - 41 to 49 - 49 to 53 - 25 to 49 (c) 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?)

Explanation:

Step1: Analyze median for (a)

The median (middle line of box) is 49, not 41. 50% of data is above 49, so more data is above 41 than below.

Step2: Identify IQR for (b)

Middle 50% = IQR, from Q1 (41) to Q3 (53).

Step3: Calculate range for (c)

Range = Max - Min = $57 - 22$

Answer:

(a) The number of people served was above 41 for more tours than it was below 41.
(b) 41 to 53
(c) 35