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The average of ten numbers is A. If c is subtracted from each number, except the tenth, and (c-1) is suntracted from the tenth
number, then what will be the new average?
A − c + 0.1
A − c
A − c + 1
A − (0.1)c + 0.1
- We start with ten numbers where the average is A.
- So, the sum of these numbers is 10A.
- Subtract c from the first nine numbers. This results in a total reduction of 9c.
- Subtract (c-1) from the tenth number. This results in a reduction of (c-1).
- The total reduction is 9c + (c-1) = 10c - 1.
- The new sum becomes 10A - (10c - 1) = 10A - 10c + 1.
- Divide the new sum by 10 to find the new average: (10A - 10c + 1) / 10 = A - c + 0.1.
So, the correct answer is:
Option 1: A - c + 0.1
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