SOLUTION: For the past ten years a farmer has been recording the number of bushels of crop yield from the same parcel of land every year. On one of the numbers he recorded with an ink pen a

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Question 1094681: For the past ten years a farmer has been recording the number of bushels of crop yield from the same parcel of land every year. On one of the numbers he recorded with an ink pen a drop of water has fallen making the number unreadable. The remaining nine numbers are 92,87,72,85,81,78,85,80 and 91. If the farmer is certain that the unreadable number is not the mode, then which of the following cannot be the unreadable number?
(A)93 (B)81 (C)84 (D)88 (E)79
I tried getting the average of all these numbers but it's not correct. Please help.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
For the past ten years a farmer has been recording the number of bushels of crop yield from the same parcel of land every year. On one of the numbers he recorded with an ink pen a drop of water has fallen making the number unreadable. The remaining nine numbers are 92,87,72,85,81,78,85,80 and 91. If the farmer is certain that the unreadable number is not the mode, then which of the following cannot be the unreadable number?
(A)93 (B)81 (C)84 (D)88 (E)79
I tried getting the average of all these numbers but it's not correct. Please help.
You don't need to calculate the average. 
Since 81 is ALREADY one of the numbers, then .
In other words, the number can be any of the 5 choices (A - E), except 81.
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