Answer to Question #3678 in Statistics and Probability for tami
A class had 20 A’s, 8 B’s, 7 C’s, 1 D and 3 F’s. The median score received what letter grade?
The median of a sample is the value m corresponding to the half of total sum of frequences. Notice that the scores A,B, C,D, F are not numberical, so the median depends on their particular ordering. Assume that they are ordered in alphabetic order: A, B, C, D, F
So we have the following table:
Score : A B & C D F Frequences: 20& 8 & 7 1 & 3 Cummulative frequences: 20 28 35 & 36 39 The sum of all frequences is& 20+8+7+3+1=39, so the half of it 19.5. This corresponds to letter A.
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