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JEE Main & Advanced Mathematics Statistics Question Bank Mean

  • question_answer
    Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is       [Kurukshetra CEE 1994]

    A)                 48          

    B)                 \[82\frac{1}{2}\]  

    C)             50          

    D)                 80

    Correct Answer: C

    Solution :

               Sum of 100 items \[=49\times 100=4900\]       Sum of items added\[=60+70+80=210\]       Sum of items replaced\[=40+20+50=110\]       New sum \[=4900+210-110=5000\]                         \ Correct mean\[=\frac{5000}{100}=50\].


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