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    The average of 10 observations is 40. It was realised later that an observation was misread as 31 in place of 50. Find the correct average.​
    Question

    The average of 10 observations is 40. It was realised later that an observation was misread as 31 in place of 50. Find the correct average.​

    A.

    41.9

    B.

    44.9

    C.

    40.9

    D.

    42.9

    Correct option is A

    Given:

    Average of 10 observations = 40

    Incorrect observation = 31

    Correct observation = 50

    Formula Used:

    Average = Total ValueNumber of Observations\frac{\text{Total Value}}{\text{Number of Observations}}​​

    Solution:

    Total sum of observations = 10 × 40 = 400

    Correct total = 400 − 31 + 50 = 419

    Correct average = 41910\frac{419} { 10}​ = 41.9

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