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      Question

      The mean of 36 numbers was found as 42. Later on, it was

      determined that a number 47 was misread as 41. Find the correct mean of the given numbers (rounded off to two places of decimal).
      A 43.74 Correct Answer Incorrect Answer
      B 42.17 Correct Answer Incorrect Answer
      C 42.83 Correct Answer Incorrect Answer
      D 43.62 Correct Answer Incorrect Answer

      Solution

      ATQ, The original sum of the numbers was 42Γ—36 =1512. The number 47 was misread as 41, so the sum is 6 less than it should be. To correct it, add 6 to the sum: 1512+6 = 1518. Divide the corrected sum by 36 to find the new mean: 1518Γ·36 = 42.17. So, the correct mean is 42.17.

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