Question

Tenanging andGadabout lour Company gave bus tours last summer. The tour director noted the number ofpeople served by each of the 56 tours. The smallest number of people served was 48, and thelargest was 54. The table gives the mean, median, range, and interquartile range (IQR) of thedata set.(a) Select the best description of center for the data set.O Based on the mean and median, we see that the"average" number of people served was about 51.O Based on the IQR, we see that the "average" number ofpeople served was about 4.O Based on the range, we see that the "average" number:of people served was about 6.89°FPartly sunnyExplanation(c) Select the graph with the shape that best fits the summary values.O Graph 1 (The data set is not symmetric.)Check--JaMean51Summary valuesMedian Range516(b) Select the best description of spread for the data set.OThe difference between the largest and smallest numberof people served is 56. (This is the number of tours given.)O The difference between the largest and smallest numberof people served is 6. (This is the range.)O The difference between the largest and smallest numberof people served is 51. (This is the mean.)ICIQR4O Graph 2 (The data set is symmetric.)I need help with this problem.

Answer 1

Given the table:

Mean Median Range IQR

51 51 6 4

Number of people served by each tour = 48

Number of tour = 56 tours

Largest = 54

Let's solve for the following:

• (a). Select the best description of center for the data set.

The average of the data set is the mean.

Therefore, based on the mean and median, we see that the average number of people served was about 51.

• (b). Select the best description for the spread of the data.

The range of a data set can be said to be the difference between the maximum and the minimum data values.

Range = Max - Min = 6

Therefore, the difference between the largest and the smallest number of people served is 6.

• (c). Select the graph with the shape that best fits the summary values.

From the table, we have:

Mean = 51

Median = 51

Since the median is equal to the mean, the graph of the data set will be symmetric between the range.

Therefore, the correct graph that best fits the summary values is Graph 2.

ANSWER:

• (a). Based on the mean and median, we see that the average number of people served was about 51.

• (b). The difference between the largest and the smallest number of people served is 6.

• (c). Graph 2.