Question

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 stopwatch 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 is the 65th percentile

Answer 1

120

Explanation:

Given that 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 stopwatch 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

Arrange the data in ascending order:

45, 99, 108, 116, 118, 118, 118, 119, 120, 121, 124, 130, 148

Compute the position of the 65th percentile (index i):

i = (65 / 100) * 13 = 8.45

The index i is not an integer, round up. (i = 9) ⇒ the 65th percentile is the value in 9th position, or 120

Answer: the 65th percentile is 120