4Three instructors are comparing scores on their finals, each had 99 students. I

Question

4Three instructors are comparing scores on their finals, each had 99 students. In class A, one student got 1 point, another got 99 points, and the rest got 50 points. In class B, 49 students got a score of 1, one student got a score of 50, and 49 students got a score of 99. In class C, one student got a score of 1, one student got a score of 2, one student got a score of 3, and so forth, all the way through 99. (a) Which class had the biggest average? or are they the same? (b) Which class had the biggest SD? or are they the same? (c) Which class had the biggest range? or are they the same?

Explanation / Answer

(a) The average is same for all the three classes. In this case the average for all the three classes is 50.

(b) The SD is also same for all three classes.

(c) The Range is the difference between the highest and lowest value of an observation. In the given example of three classes in each class highest score is 99 and lowest score is 1. Hence range is same for all three classes which is 99-1=98.

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