JEE Main 2022 · 30 Jul · Shift 2 · Mathematics Q78

MathematicsSingle correct+4 / -1Question 78 of 90

If the mean and median of the data

x	0 − 10	10 − 20	20 − 30	30 − 40	40 − 50
f	3	6	2	x	y	Σf = 20

are equal, then $xy^2$ is equal to

100

108

Answer and worked solution

Official answer: A

Median. $x+y=9$ ; the 10th value lies in 20-30: median $=20+\frac{10-9}2\times10=25$ .

Mean $\frac{155+35x+45y}{20}=25$ gives $7x+9y=69$ , so $y=3$ , $x=6$ and $xy^2=54$ .

(A)

Topics:Measures of central tendency

JEE Main 2022 · 30 Jul · Shift 2, Mathematics question 78