Two upper level math classes are given a test. There are 10 students in Class A
ID: 2946805 • Letter: T
Question
Two upper level math classes are given a test. There are 10 students in Class A and 10 students in Class B. Both classes score an average of 80% on the test, but the scores for Class A are noticeably different from the scores in Class B. Can you please show me a sample set of test scores for Class A and Class B.
Explain how you determined the scores for each class (and how they are noticeably different) ???? I am very confused.
Find the median of each Class. Show and explain
Which class would you prefer? Explain.
Explanation / Answer
There could be a difference in the distribution of the scores for the 2 classes even when the 2 classes have the same average score. This can be shown by the following example:
We can see above that for both cases, the class average is the same that is 80%, but the spread of the marks in Class A is much larger than in class B.
The median for Class A is computed as the middle value of the 5th and 6th class that would be 80% here.
Similarly for Class B, the middle value for 5th and 6th would be 80% as both 5th and 6th values are equal to 80%
We would clearly prefer class B as there is lesser spread in that class and almost all students have performed well.
We always prefer things with a lower standard deviation ( measure of spread )
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