Students ranked their level of satisfaction from 1 to 5 with 1 being the lowest,

Question

Students ranked their level of satisfaction from 1 to 5 with 1 being the lowest, and 5 the highest (most satisfied).

6980: 1, 4, 3, 4, 2, 5, 4, 3, 4, 3, 2, 1, 3, 3, 2

6981: 3, 4, 5, 5, 3, 4, 4, 4, 3, 3, 2, 3, 3, 2, 3

Now, let's see if we can summarize the student evaluation results STATISTICALLY. Let us go after the usual MEASURES OF CENTER such as the mean, median, mode, and range.

1. What is the mean evaluation score of each professor? Then, what is the median evaluation score of each professor?

2. Can we tell from these numbers which instructor was more popular with the students? And why do you think so?

4. How about the range and standard deviation? Do you think we can make some more intelligent statements when we have the ranges and standard deviations?

5. Calculate the range and standard deviation for each class. What insights do these statistics add? Does this change you decision on which class to enroll in? Why or why not?

Explanation / Answer

1. Mean Evaluation of Teacher 1:2.933

Mean Evaluation of Teacher 2:3.4

Median Evaluation of Teacher 1:3

Median Evaluation of Teacher 2:3

2. The Second teacher is more popular as here mean of student satisfaction is greater than for teacher 1

3.

If range is more then the student satisfaction is more dispersed.IF standard deviation is more then the students

satisfaction level differ more from the mean.Lesser the range and standard deviation better is the

association between the student's satisfaction levels

5.Range for First Class:4

Range for Second Class:3

Standard Deviation of First Class:1.162919

Standard Deviation of Second Class:0.910259

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