If the mean deviations about the median of the numbers a, 2a, . . . ,50a is 50, then |a| is equal to

Median  a, 2a, . . . , 50 is 25a+26a2=(25.5)aMean deviation about median  =∑i=150 ∣xi− median ∣n⇒ 50=150{2|a|⋅(0.5+1.5+2.5+…+24.5)}⇒ 2500=2|a|252(2×0.5+24×1)=2|a|⋅252(25)⇒ |a|=4