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

Step-by-step solution

Median is the central value (or middle observation) of statistical data if it is arranged in ascending or descending order. Thus, if there are n observations (variates) x 1 ,   x 2 ,   x 3 ,   … ,   x n arranged in ascending or descending order, then median = n + 1 2 th observation, if n is odd and median = n 2  th observation  + n 2 + 1  th observation  2 , if n is even. Here we can see there are even number of terms, So, median = 2 k + 12 2 = k + 6 Mean deviation = &#