Multiple choice

The average value of 10 numbers was calculated as 51. On checking, it was found that 51 and 49 were misread as 56 and 41. Find the new average.

  1. 51.2

  2. 50.7

  3. 51.3

  4. 25.2

  5. None of these
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C Correct answer
Explanation

Sum = 10 * 51 = 510. Corrected sum = 510 - 56 - 41 + 51 + 49 = 510 - 97 + 100 = 513. New average = 513 / 10 = 51.3.

AI explanation

The total increase in the overall sum equals the correct values minus the incorrect values: (51 + 49) - (56 + 41) = 3. This means the actual total is 3 less than the calculated total. The new average is found by subtracting this difference divided by the total count from the original average: 51 - (3 / 10) = 51 - 0.3 = 51.3.

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