Question 1: Assume that the average rating in each of the three classes is 5 (wh

Question

Question 1:

Assume that the average rating in each of the three classes is 5 (which should be visually reasonably clear from the histograms), and recall the interpretation of the SD as a “typical” or “average” distance between the data points and their mean. Judging from the table and the histograms, which class would have the largest standard deviation, and which one would have the smallest standard deviation? Explain your reasoning.

Now check your intuition by finding the actual standard deviations of the three rating distributions.

Question 2:

Descriptive Statistics: Class I, Class lI, Class llI Statistics Q1 Median Q3 Maximum Variable N N Mean SE Mean StDev Minimum Class 27 0 5.0000 0.3019 1.5689 1.0000 5.0000 5.0000 5.0000 9.0000 Class 27 0 5.0000 0.7698 4.0000 1.0000 1.0000 5.0000 9.0000 9.0000 Class 27 0 5.0000 0.5064 2.6312 1.0000 3.0000 5.0000 7.0000 9.0000

Explanation / Answer

Question 1.
Class II would have the largest standard deviation because the number of values which are deviating from the mean are more.
Class I would have the smallest standard deviation as we see the number of values which are deviating from the mean are very less

Question 2.
Std. dev. of class I = 1.5689
std. dev. of class II = 4
std. dev. of class III = 2.6312

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