SOLUTION: The mean of 205 items was 41. Later on it was discovered that two items were wrongly read as 99 and 7 instead of 185 and 44. Find the correct mean.

Question 857896: The mean of 205 items was 41. Later on it was discovered that two items were wrongly read as 99 and 7 instead of 185 and 44. Find the correct mean.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The mean of 205 items was 41. Later on it was discovered that two items were wrongly read as 99 and 7 instead of 185 and 44. Find the correct mean.
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Total points with the wrong data: 205*41 = 8405
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Total on two items:: 185-99 + 44-7 = 86 + 37 = 123 points
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Correct total points was 8405+123 = 8528
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Correct mean = 8528/205 = 41.6
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Easier way to solve solve the problem
Total error = 123 pts
123/205 = 0.6
Add 0.6 to 41 to get 41.6 as the true mean.
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Cheers,
Stan H.
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