JEE Main & Advanced Mathematics Statistics Question Bank Mock Test - Statistics

  • question_answer
    Runs scored by a batsman in 10 innings are: 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 the mean deviation is

    A) 8.6                   

    B) 6.4

    C) 10.6     

    D) 9.6

    Correct Answer: A

    Solution :

    [a] Arranging the given data in ascending order, we have 34, 38, 42, 44, 46, 48, 54, 55,63, 70, Median, \[M=\frac{46+48}{2}=47\] (\[\therefore n=10\], median is the mean of 5th and 6th items) \[\therefore \]Mean deviation\[=\frac{\Sigma \left| {{x}_{i}}-M \right|}{n}\] \[=\frac{\Sigma \left| {{x}_{i}}-47 \right|}{10}\] \[=\frac{13+9+5+3+1+1+7+8+16+23}{10}=8.6\]


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