Question

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

• A. $11.5$
• B. $10.5$
• C. 12
• D. 11

Answer 1

Answer: (D)

11

Answer 2

The correct answer is (D) : 11
3,5,7,2k,12,16,21,24
Median =22k+12​=k+6
M.D. =8Σ∣xi​−M∣​=6
=(k+3)+(k+1)+(k−1)+(6−k)+(6−
k)+(10−k)+(15−k)+(18−k)=48
=58−2k=48
k=5
Median =k+6=11