JEE-MAIN SERIES Mathematics
Mean Deviation
12 previous year questions.
Volume: 12 Ques
Yield: Medium
High-Yield Trend
1
2025 1
2024 5
2023 1
2022 1
2020 2
2019 1
2016 Chapter Questions 12 MCQs
01
PYQ 2016
medium
mathematics ID: jee-main
The mean of observations is and their variance is . If three of the observations are and ; then the mean deviation from the mean of the data is :
1
2.4
2
2.8
3
2.5
4
2.6
02
PYQ 2019
medium
mathematics ID: jee-main
The mean of five observations is and their variance is If three of the given five observations are and , then a ratio of other two observations is :
1
4:09
2
6:07
3
5:08
4
10:03
03
PYQ 2019
medium
mathematics ID: jee-main
The mean and the median of the following ten numbers in increasing order are and respectively, then is equal to :
1
44745
2
44808
3
44744
4
44776
04
PYQ 2020
medium
mathematics ID: jee-main
The mean and variance of 7 observations are 8 and respectively. If five observations are then the absolute difference of the remaining two observations is :
1
2
2
4
3
3
4
1
05
PYQ 2022
medium
mathematics ID: jee-main
If the mean deviation about the mean of the numbers 1, 2, 3, …. n, where n is odd, is , then n is equal to ______.
06
PYQ 2023
hard
mathematics ID: jee-main
Let the mean and standard deviation of marks of class A of students be respectively and (> 0 ), and the mean and standard deviation of marks of class B of students be respectively and 30 . If the mean and variance of the marks of the combined class of students are respectively and , then the sum of variances of classes and is :
1
500
2
450
3
650
4
900
07
PYQ 2023
hard
mathematics ID: jee-main
Let m be the mean and σ be the standard deviation of the distribution
| xi | 0 | 1 | 2 | 3 | 4 | 5 |
| fi | k+2 | 2k | k2-1 | k2-1 | k2+1 | k-3 |
where ∑fi = 62. if [x] denotes the greatest integer ≤ x, then [μ2 + σ2] is equal
1
6
2
7
3
8
4
9
08
PYQ 2023
medium
mathematics ID: jee-main
A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If X denotes the number of tosses of the coin, then the mean of X is
1
<
2
3
4
09
PYQ 2023
medium
mathematics ID: jee-main
Let the mean and variance of the frequency distribution
are 9 and 15.08 respectively, then the value of α2+β2-αβ is ____.
| xi | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
| fi | 4 | 4 | α | 15 | 8 | β | 4 | 5 |
10
PYQ 2023
medium
mathematics ID: jee-main
A fair n (n>1) faces die is rolled repeatedly until a number less than n appears. If the mean of the number of tosses required is , then n is equal to_____.
11
PYQ 2024
medium
mathematics ID: jee-main
Let and . Let the mean, the mean deviation about the mean and the variance of the 5 observations be and , respectively. Then is equal to _______.
12
PYQ 2025
easy
mathematics ID: jee-main
Let the mean and variance of the observations be 4 and 2, respectively. Then, the mean deviation about the mode of the observation is:
1
2
2
3
3
4
4
5