Three classes took a test, with histograms of the scores shown below # of Studen

Question

Three classes took a test, with histograms of the scores shown below # of Students # of Students # of Students 2 2 30 60 Class 3 30 90 60 Class 1 90 30 60 90 Class 2 (a) Which class has the highest median score? Class 1 Class 2 Class 3 (b) For which classes are the mean and median similar? Classes 1 and 2 Classes 1 and 3 Classes 2 and 3 All 3 classes have similar means and medians (c) In class 1, which is higher: the mean or median? The - is higher than the , since the scores are (d) Which class has the smallest standard deviation? Class 1 Class 2 Class 3 (e) Which class has the smallest IQR? Class 1 Class 2 Class 3

Explanation / Answer

a) Class 1

Because the distribution of class 1 is negatively skewed. So median of it in the left side.

b) Class 2 and Class 3

Because they are approximately symmetrically distributed.

c ) The median is higher than the mean. Because the distribution is negatively skewed.

d) Class 3

Because most of the frequencied are concentrated in the middle of the distribution.

e) Class 1.

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