variable N N. Mean SE Mean stpev Minimum 01 Median Class I 0 5.000 0.302 1.569 1

Question

variable N N. Mean SE Mean stpev Minimum 01 Median Class I 0 5.000 0.302 1.569 1.000 5.000 5.000 5.000 000 Class II 27 5,000 0.770 4.000 1.000 1.000 5.000 9.000 9.000 Class III 27 5.000 0.506 2.631 1.000 3.000 5.000 7.000 000 NOTE Command canceled. Background At the end of a statistics course, students in three different classes rated their instructor on a number scale of 1 to 9 (1 being very poor," and 9 being best instructor l've ever had"). The following table provides three hypothetical rating data: And here are the histograms of the data Class ll

Explanation / Answer

Answer:

1).

Since most of the points are away from the central point, class II has largest standard deviation

Since most of the points clustered around the central point, class I has smaller standard deviation.

2).

Standard deviation for class 1=1.569

Standard deviation for class 2=4.0

Standard deviation for class 3=2.631

Our intuition is correct.

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