To the right are box plots comparing the ticket prices of two performing arts theaters.

Question

a. What is the median ticket price for each​ theater?
b. Which theater has the greatest range of​ prices?
c. What is the highest ticket price at either​ theater?
d. Make some statements comparing the ticket prices at the two theaters.
Theater A
Theater B
50
54
58
62
66
70
74
78
82
86

Question content area bottom
Part 1
a. The median ticket price for theater A is ​$
  
66.
Part 2
The median ticket price for theater B is ​$
  
58.
Part 3
b.
Theater A
has the greatest range of prices.
Part 4
c. The highest ticket price is ​$
  
78 at
theater A.
Part 5
d. Choose the correct answer below.
A.
Theater A has higher ticket​ prices, but there is more variation in prices at theater B.
B.
Theater B has higher ticket​ prices, but there is more variation in prices at theater A.
C.
There is more variation at theater​ B; also there are higher ticket prices at theater B.
D.
There is more variation at theater​ A; also there are higher ticket prices at theater A.

Answer 1

Based on the information provided:

Part 1

a. The median ticket price for theater A is $66.
The median ticket price for theater B is $58.

Part 2

b. Theater A has the greatest range of prices.

Part 3

c. The highest ticket price is $78 at theater A.

Part 4

d. Among the options provided, the correct statement comparing the ticket prices at the two theaters is: A. Theater A has higher ticket prices, but there is more variation in prices at theater B.

This conclusion is based on the fact that theater A has a higher median price and the maximum price is higher than theater B, while theater B's range likely indicates more variation in the ticket prices.