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    Question

    Average of 16 observations calculated by a student was

    70 but when he again went through his observations he realised that he took value of three observations as 54, 50 and 52 in place of 88, 50 and 68 respectively and also realised that total observations taken by him was 15. Find the original average of all observations taken by him.
    A 70 Correct Answer Incorrect Answer
    B 78 Correct Answer Incorrect Answer
    C 79 Correct Answer Incorrect Answer
    D 74 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sum of 16 observations = 16 × 70 = 1120 Original average = {1120 + (88 + 50 + 68) - (54 + 50 + 52)}/15 = 1170/15 = 78

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