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If scores of zero are permitted, the lowest median is 2 as in (0,1,2,3,44) and the highest median is 10 as in (8,9,10,11,12).

If a zero score is not permitted, then the lowest median is 3 as in (1,2,3,4,40).

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Q: The mean of 5 different scores is 10 what are the largest and smallest possible values for the median if all test scores must be whole numbers?
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