by DeepWebLabs
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

xi012345
fik+22kk2-1k2-1k2+1k-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
xi246810121416
fi44α158β45
are 9 and 15.08 respectively, then the value of α2+β2-αβ is ____.
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

About Mean Deviation - JEE-MAIN

Mean Deviation is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.

By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.

Frequently Asked Questions

Why focus on Mean Deviation PYQs?

Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.

How to best use this analysis?

Review the topic breakdown to see which sub-topics within Mean Deviation carry the most weight. Then, tackle the questions iteratively to solidify your understanding.