1
JEE Main 2026 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Suppose that the mean and median of the non-negative numbers $21,8,17, a, 51,103, b, 13,67,(a>b)$, are 40 and 21 , respectively. If the mean deviation about the median is 26 , then $2 a$ is equal to :

A

109

B

117

C

161

D

131

2
JEE Main 2026 (Online) 2nd April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The mean and variance of n observations are 8 and 16, respectively. If the sum of the first (n − 1) observations is 48 and the sum of squares of the first (n − 1) observations is 496, then the value of n is :

A

21

B

16

C

13

D

7

3
JEE Main 2026 (Online) 2nd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If the mean of the data

Class5-1010-1515-2020-2525-3030-35
Frequency2k2854k + 15

is 21, then $k$ is one of the roots of the equation:

A

$2x^2 - 23x - 10 = 0$

B

$4x^2 - 35x + 24 = 0$

C

$2x^2 - 19x - 10 = 0$

D

$2x^2 - 35x + 98 = 0$

4
JEE Main 2026 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The mean and variance of 10 observations are 9 and 34.2 , respectively. If 8 of these observations are $2,3,5,10,11,13,15,21$, then the mean deviation about the median of all the 10 observations is

A

7

B

4

C

5

D

6

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