The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m. ).They selected 13 patrons and had them get in line between 2 and 3 p.m.Each was given a stop watch to record the time they spent in line.The times recorded were as follows (in minutes)118,124,108,116,99,120,148,118,119,121,45,130,118 What are the inner fences?
A)96.25,138.25
B)80.5,154.00
C)127.75,138.25
D)143.50,154.00
E)15.75,31.50

Question

Quizplus · Accepted Answer

To find the inner fences, we need to find the lower and upper quartiles.

Step 1: Order the data from least to greatest: 
45, 99, 108, 116, 118, 118, 118, 119, 120, 121, 124, 130, 148

Step 2: Find the median (Q2) of the data: 
Median = (118 + 119) / 2 = 118.5

Step 3: Divide the data into two halves, and find the median (Q1) of the lower half: 
45, 99, 108, 116, 118, 118, 118 
Median = (108 + 116) / 2 = 112

Step 4: Find the median (Q3) of the upper half: 
119, 120, 121, 124, 130, 148 
Median = (121 + 124) / 2 = 122.5

Step 5: Calculate the interquartile range (IQR): 
IQR = Q3 - Q1 = 122.5 - 112 = 10.5

Step 6: Calculate the inner fences: 
Lower inner fence = Q1 - 1.5*IQR = 112 - 1.5*10.5 = 96.25 
Upper inner fence = Q3 + 1.5*IQR = 122.5 + 1.5*10.5 = 138.25

Therefore, the inner fences for this data set are 96.25 and 138.25. The best choice is A.

The Local Amusement Park Was Interested in the Average Wait