Q.

If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24 arranged in the ascending order, is 6 then the median is

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answer is 11.

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Detailed Solution

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Median  2k+122=k+6
        Mean deviation about median 
=k+3+k+1+k1+6k+6-k+10-k+15-k+18-k8=6
    582k8=6    72<k<6 k=5 

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