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 are the inner fences?
A)-1,7
B)-4,10
C)5,7
D)8,10
E)3,6

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 are the inner fences?
A)-1,7
B)-4,10
C)5,7
D)8,10
E)3,6

Quizplus · Accepted Answer

The inner fences are calculated using the first and third quartiles (Q1 and Q3) and the interquartile range (IQR). First, we need to arrange the scores in ascending order: 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5. The median (Q2) is 3. The lower half (before the median) is 1, 1, 2, 2, 3, 3, 3, and its median (Q1) is 2. The upper half (after the median) is 3, 3, 4, 4, 5, 5, and its median (Q3) is 4. The IQR is Q3 - Q1 = 4 - 2 = 2. The inner fences are calculated as Q1 - 1.5*IQR and Q3 + 1.5*IQR. Thus, the inner fences are 2 - 1.5*2 = -1 and 4 + 1.5*2 = 7.

In a Rating of the Satisfaction with Their Instructor, 13