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 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 first quartile?
a. 100.8
b. 119.8
c. 128.8
d. 112
e. 122.5

Answer 1

Answer: d. 112

Explanation:

First Quartile is the median of the first half of ordered data (from smallest to largest).

The given data : 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118.

Arrange in Ascending order , we get

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

First half = 45,99, 108,116,118, 118

No. of elements = 6

First Quartile = Median of first half = Mean of middlemost terms

=
`(108+116)/(2)=(224)/(2)=112`

Hence, the First quartile = 112

Correct answer = d. 112