Below is an evaluation on the overall satisfaction of studen

Below is an evaluation on the overall satisfaction of students in two classes. The students ranked their level of satisfaction from 1 to 5, 1 being the lowest, and 5 the highest.

69806980

1

4

3

4

5

5

4

3

4

5

69816981

3

4

5

5

3

4

4

4

3

3

    Now, let\'s see if we can summarize the student evaluation results the old fashion way, please provide answers for the following:

    1. Let us go after the \"usual suspects\" for each class:

Mean ():
Median:
Mode:
Lowest value:
Highest value:
Range:
Variance (²):
Standard deviation ():

      2. Can we tell from these numbers which instructor was more popular with the students? And why do or don\'t you think so?

      3. How about the standard deviation? Do you think we can make some more intelligent statements about the two instructors when we have the standard deviations?

Solution

The teacher 69816981 is more popular at the standard deviation is very low. Though the mean ranking of both teachers is the same the standard devaiton is low for this teacher. The range is aslo very low

Yes less the standard deviation more is stable is the data. Hence we can make more intelligent statement about the instructors when we have standard deviation.