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  1. The average of 9 integers is found to be 11. But after the calculation, it was detected that, by mistake, the integer 23 was copied as 32, while calculating the average. After the due correction is made, the new average will be
    1. 10
    2. 9
    3. 10.1
    4. 9.5
Correct Option: A

Here , The average of 9 integers = 11
⇒ Sum of 9 integers = 9 × 11 = 99.

New average =
99 + 23 - 32
=
90
99

New average = 10
Second method to solve this question with the help of given formula :
Here, n = 9, m = 11 , a = 23, b = 32
Correct mean = m +
(a - b)
n

Correct mean = 11 +
(23 - 32)
9

Correct mean = 11 +
( - 9)
9

Correct mean = 11 – 1 = 10



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