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Discussion

A student calculates the mean of 5 numbers as 27. Later he realizes that he misread one number as 27 instead of 72. The correct mean is:

  • A.27
  • B.36
  • C.38
  • D.40

Answer: B

Incorrect sum = Mean × Count = 27 × 5 = 135.

The difference due to misreading = Correct value - Incorrect value = 72 - 27 = 45.

The correct sum is 45 more than the calculated sum.

Correct sum = 135 + 45 = 180.

Correct mean = \(\frac{180}{5} = 36\).

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