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In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25…

In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean

  • A.
    19
  • B.
    21
  • C.
    23
  • D.
    24
Correct Answer: Option B
Explanation

(Mean = frac{sum of items}{total number of items})

(20 = frac{x}{8} implies x = 160)

The sum of the 7 nos = 160 – 17 = 143

Correct mean = (frac{143 + 25}{8} = frac{168}{8} = 21)