JEE Main 2022 · 25 Jul · Shift 2 · Mathematics Q18

MathematicsSingle correct+4 / -1Question 18 of 90

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

11.5

10.5

Answer and worked solution

Official answer: D

Median $M=k+6$ . Sum of deviations $(4M-15-2k)+(73-4M)=58-2k=48$ , so $k=5$ , median 11.

(D)

JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 18