(06.02, 06.03 HC)
The table below shows the number of hours some business people in two states spend in meetings each week:
State A 21 23 24 22 24 25 23 23 22
State B 24 22 20 23 23 50 20 46 21
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)
Part B: Are the box plots symmetric? Justify your answer. (4 points)
Question 2 (Multiple Choice Worth 5 points)
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:
Maximum Minimum Q1 Q3 IQR Median Mean ?
Rome 16 0 3 13 10 8.5 8 5.4
New York 20 1 4.5 6 1.5 5.5 7.25 5.4
Which of the choices below best describes how to measure the center of this data?
Both centers are best described with the mean.
Both centers are best described with the median.
The Rome data center is best described by the mean. The New York data center is best described by the median.
The Rome data center is best described by the median. The New York data center is best described by the mean.
Question 1 (Multiple Choice Worth 5 points)
Tammy and Wyatt are sales associates at the same used car dealership. Their supervisor is planning to promote the employee with the best sales numbers, on average. The box plots below show their sales, in thousands of dollars, for the past 2 weeks:
box plot labeled Tammy with min at 19, Q1 at 21, median at 25.5, Q3 at 26.75, max at 27.75. Box plot labeled Wyatt with min at 18.5, Q1 at 20.5, median at 24, Q3 at 27.5, max at 28.25
Who should get the promotion, and why?
Wyatt should get the promotion. His data is more evenly distributed, so his sales are more consistent.
Wyatt should get the promotion because he had the highest sales in a single day.
Tammy should get the promotion because her lowest value is higher than Wyatt's lowest value.
Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.