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 65^th percentile?

Question

Quizplus · Accepted Answer

To find the 65th percentile, we need to arrange the data in order (smallest to largest):
45, 99, 108, 116, 118, 118, 118, 119, 120, 121, 124, 130, 148

The formula to find the percentile is: 
Percentile = (P/100) * (n+1)

Where P is the desired percentile, n is the total number of data points, and the result should be rounded up to the nearest whole number.

For the 65th percentile:
Percentile = (65/100) * (13 + 1) = 8.45

Rounding up, we get the 8th value in the ordered set of data:
118

Therefore, the 65th percentile is 118 minutes.

The only choice that matches this value is B.

The Local Amusement Park Was Interested in the Average Wait