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 is the 90^th percentile? A)100.8 B)119.8 C)128.8 D)112 E)122.5

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Quizplus · Accepted Answer

The 90th percentile is the value below which 90% of the observations fall. First, arrange the data in ascending order: 45, 99, 108, 116, 118, 118, 118, 119, 120, 121, 124, 130, 148. The 90th percentile position is 0.9 * (13 + 1) = 12.6. The 12th value is 130 and the 13th is 148. Interpolating between these gives 128.8.

The Local Amusement Park Was Interested in the Average Wait