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 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, 118What is the first quartile?A. 100.8B. 119.8C. 128.8D. 112E. 122.5

Answer 1

Answer: D. 112

Step-by-step explanation:

Given : The times recorded were as follows (in minutes):-

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

First arrange the above data set in ascending order , we get

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

Median = center-most value = 118

Lower-half of data : 45, 99,108, 116,118,118

First Quartile = Median of lower half=$\dfrac{108+116}{2}=112$

Hence, the first quartile = 112