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 IQR?
A)2
B)6
C)3
D)4
E)1

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 IQR?
A)2
B)6
C)3
D)4
E)1

Quizplus · Accepted Answer

The Interquartile Range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). First, we need to arrange the scores in ascending order: 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5. With 13 scores, the median (Q2) is the 7th score, which is 3. The first quartile (Q1) will be the median of the first half (excluding the median if the number of data points is odd), which is 2. The third quartile (Q3) will be the median of the second half, which is 4. Therefore, IQR = Q3 - Q1 = 4 - 2 = 2.

In a Rating of the Satisfaction with Their Instructor, 13