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 65^th percentile? A)100.8 B)119.8 C)128.8 D)112 E)122.5

Question

Quizplus · Accepted Answer

To find the 65th percentile, we need to arrange the data in order from lowest to highest: 
45, 99, 108, 116, 118, 118, 119, 120, 121, 124, 130, 148 
Next, we need to find the index of the rank. To do this, we use the formula: 
Index = (percentile/100) * (n + 1) 
where n is the sample size. In this case, n = 13. 
Index = (65/100) * (13 + 1) 
Index = 8.4 
Since we cannot have a fractional index, we round up to 9. 
The 65th percentile is the value at index 9, which is 119.8. 
Therefore, the answer is B.

The Local Amusement Park Was Interested in the Average Wait