SOLUTION: Jill and Jack play basketball. In the first game, Jill had a foul shot average of 0.60 (she made 12 of 20 shots), and Jack had a foul shot average of 0.50 ( he made 5 of 10 shots).

Question 121095: Jill and Jack play basketball. In the first game, Jill had a foul shot average of 0.60 (she made 12 of 20 shots), and Jack had a foul shot average of 0.50 ( he made 5 of 10 shots). In the second game Jill had a foul shot average of 0.80 (she made 8 of 10 shots), and Jack had a foul shot average of 0.75 (he made 15 out of 20 shots). Now, who do you think has the better overall average? Compute the averages for both games based on 30 shots for each player.
Compare the results for the two individual games to the overall average and discuss how this is possible.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Jill and Jack play basketball. In the first game, Jill had a foul shot average of 0.60 (she made 12 of 20 shots), and Jack had a foul shot average of 0.50 ( he made 5 of 10 shots). In the second game Jill had a foul shot average of 0.80 (she made 8 of 10 shots), and Jack had a foul shot average of 0.75 (he made 15 out of 20 shots). Now, who do you think has the better overall average? Compute the averages for both games based on 30 shots for each player.
Compare the results for the two individual games to the overall average and discuss how this is possible.
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Jill made 12 + 8 = 20 out of 30 or 66 2/3 %
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Jack made 5 + 15 = 20 out of 30 or 66 2/3 %
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Cheers,
Stan H.
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