SOLUTION: The mean (average) score on a test taken by 10 students was 75.0. An 11th student took a makeup test and got a score of 86. If the makeup test score is averaged in with the other 1

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Question 1117347: The mean (average) score on a test taken by 10 students was 75.0. An 11th student took a makeup test and got a score of 86. If the makeup test score is averaged in with the other 10 scores, what is the increase in the mean score?
Found 2 solutions by stanbon, greenestamps:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The mean (average) score on a test taken by 10 students was 75.0. An 11th student took a makeup test and got a score of 86. If the makeup test score is averaged in with the other 10 scores, what is the increase in the mean score?
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Sum of all the scores of the 10:: 10*75 = 750
Sum of all the scores of the 11:: 750+86 = 836
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New mean:: 836/11 = 76
Ans:: Increase in mean:: 1
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Cheers,
Stan H.
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Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


See if this method of solving the problem makes sense to you; if so, you can use it to make solving other problems like this easy.

(1) The 11th student had a score that was 11 above the average of the first 10 students.

(2) "Distribute" those 11 "extra" points to the 11 students who have now taken the test.

(3) Each student will get 1 more point; that means the average (mean) score increases by 1 point.