JEE Advanced Previous Year Questions (2021 - 2025): Statistics

 Page 1


JEE Advanced Previous Year 
Questions (2 1 2 0 -2023): Statistics 
 
Q1: Consider the given data with frequency distribution 
?? ?? 3 8 11 10 5 4 
?? ?? 5 2 3 2 4 4 
Match each entry in List-I to the correct entries in List-II. 
List - I 
List - 
II 
(?? ) The mean of the above data is (1) 2.5 
(?? ) The median of the above data is (2) 5 
(R) The mean deviation about the mean of the above 
data is 
(3) 6 
( ?? ) The mean deviation about the median of the 
above data is 
(4) 2.7 
 (5) 2.4 
 
 
The correct option is: 
A. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
B. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
C. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
D. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )   [JEE Advanced 2023 Paper 1 Online] 
Ans: (A) 
?? ?? ?? ?? ?? ?? ?? ?? ?? ?? |?? ?? - ?? ?| ?? ?? |?? ?? - ?? | 
3 5 15 15 10 
4 4 16 8 4 
5 4 20 4 0 
8 2 16 4 6 
10 2 20 8 10 
11 3 33 15 18 
 ?? ?? ?? = ???? ?? ?? ?? ?? ?? = ?? ???? sum = ???? sum = ???? 
 
Page 2


JEE Advanced Previous Year 
Questions (2 1 2 0 -2023): Statistics 
 
Q1: Consider the given data with frequency distribution 
?? ?? 3 8 11 10 5 4 
?? ?? 5 2 3 2 4 4 
Match each entry in List-I to the correct entries in List-II. 
List - I 
List - 
II 
(?? ) The mean of the above data is (1) 2.5 
(?? ) The median of the above data is (2) 5 
(R) The mean deviation about the mean of the above 
data is 
(3) 6 
( ?? ) The mean deviation about the median of the 
above data is 
(4) 2.7 
 (5) 2.4 
 
 
The correct option is: 
A. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
B. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
C. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? ) 
D. (?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )(?? ) ? (?? )   [JEE Advanced 2023 Paper 1 Online] 
Ans: (A) 
?? ?? ?? ?? ?? ?? ?? ?? ?? ?? |?? ?? - ?? ?| ?? ?? |?? ?? - ?? | 
3 5 15 15 10 
4 4 16 8 4 
5 4 20 4 0 
8 2 16 4 6 
10 2 20 8 10 
11 3 33 15 18 
 ?? ?? ?? = ???? ?? ?? ?? ?? ?? = ?? ???? sum = ???? sum = ???? 
 
(P)   Mean =
?? ?? ?? ?? ?? ?? ?? ?? =
120
20
= 6 
(Q) Median =
(10
?? h 
+11
?? h 
) ?????????????????????? 
2
 
=
5+5
2
= 5(both observation are same) 
 
(R) Mean deviation 
=
?? ?? ?? |?? ?? - ?? ?|
?? ?? ?? =
54
20
 
= 2.7 
(S) Mean deviation about median 
=
?? ?? ?? |?? ?? - ?? |
?? ?? ?? =
48
20
 
= 2.4