In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are;
68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68

-What is the first quartile?
A)73
B)68
C)70.5
D)67
E)75

Question

In a hearing test, subjects estimate the loudness (in decibels) of sound, and the results are;
68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68

-What is the first quartile?
A)73
B)68
C)70.5
D)67
E)75

Quizplus · Accepted Answer

The first quartile (Q1) is the median of the lower half of the data. First, arrange the data in ascending order: 62, 67, 68, 68, 68, 70, 71, 73, 75, 80. Since there are 11 data points, the median is the 6th value (70), dividing the data into a lower half (62, 67, 68, 68, 68) and an upper half (71, 73, 75, 80). The median of the lower half (Q1) is 68.

In a Hearing Test, Subjects Estimate the Loudness (In Decibels)