High School

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 90th percentile?

A. 100.8
B. 118
C. 130
D. 112
E. 45

Answer :

Final answer:

The 90th percentile of the given data is 124 minutes.

Explanation:

In order to find the 90th percentile, you need to organize the data in ascending order. The given data in this question is: 45, 99, 108, 116, 118, 118, 118, 119, 120, 121, 124, 130, and 148. Since we have 13 values, the 90th percentile will be the value at the 90th percentile rank, which is 90% of 13. 90% of 13 is 11.7, which rounds up to 12. So, the 90th percentile is the 12th value in the ordered list, which is 124 minutes.

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