In a rating of the satisfaction with their instructor, 13 students gave the following scores from a scale of 1 to 5;
3, 2, 1, 1, 5, 5, 4, 3, 3, 2, 4, 3, 3

-What is the third quartile?
A)1.2
B)2
C)3
D)4
E)4.8

Question

In a rating of the satisfaction with their instructor, 13 students gave the following scores from a scale of 1 to 5;
3, 2, 1, 1, 5, 5, 4, 3, 3, 2, 4, 3, 3

-What is the third quartile?
A)1.2
B)2
C)3
D)4
E)4.8

Quizplus · Accepted Answer

The third quartile (Q3) is the median of the upper half of the data. First, arrange the data in ascending order: 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5. There are 13 data points, so the middle value is the 7th value, which splits the data into lower and upper halves. The upper half is 3, 3, 4, 4, 5, 5. The median of this upper half (or Q3) is the average of the middle two values, which are both 4. Therefore, the third quartile is 4.

In a Rating of the Satisfaction with Their Instructor, 13