Consider the following scores of a class of 15 students:

Chapter , Problem 6.47

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Consider the following scores of a class of 15 students: 95,86,83, 79,79,78,75,70,70,68,63,63,55,55,50 The scores (X) are out of 100 in descending order. (a) Calculate the mean (X av)' median (Xm)' and standard deviation (S) of the scores. (b) Assign letter grades to the students on the basis of the following criteria: A X Xav + 2S A- X X.v + 1.5 S B+ X X.v + 1 S B X X.v + 0.5 S B- X X.v C+ X X.v - 0.5 S C X X.v - 1 S C- X X.v - 1.5 S D X X.v - 2S F X < X.v - 2S ( c) If the grade distribution were normal, with the same X.v and S, how many students would you expect to get A's, B's, C's, D's, and F's? Compare your results with Part (b) in a table. 6

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