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JEE Main Math Class 12 Statistics Part 2 Questions
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© examsnet.com
Question : 17
Total: 28
The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and
σ
2
respectively. If the variance of all the 30 numbers in the two sets is 13 , then
σ
2
is equal to :
[6-Apr-2023 shift 1]
12
10
11
9
Validate
Solution:
Combine var.
=
n
1
σ
2
+
n
2
σ
2
n
1
+
n
2
+
n
1
n
2
(
m
1
−
m
2
)
2
(
n
1
+
n
2
)
13
=
15
⋅
14
+
15
⋅
σ
2
30
+
15
⋅
15
(
12
−
14
)
2
30
×
30
13
=
14
+
σ
2
2
+
4
4
σ
2
=
10
© examsnet.com
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