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JEE Main & Advanced Mathematics Statistics Question Bank Critical Thinking

  • question_answer
    Mean of 100 observations is 45. It was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean is

    A)                 44.0        

    B)                 44.46

    C)                 45.00      

    D)                 45.54

    Correct Answer: B

    Solution :

                    Sum  of 100 items = 45×100 = 4500                                 Sum of items added = 19 +31 = 50                                 Sum of items replaced = 91+ 13 = 104                                 New sum = \[4500-104+50\]= 4446                                 \ New mean\[=\frac{4446}{100}\] = 44.46


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