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JEE Mains 26-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 26
Total: 90
The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If
σ
is the standard deviation of the data after omitting the two wrong observations from the data, then
38
σ
2
is equal to _________.
[26-Jul-2022-Shift-2]
Your Answer:
Validate
Solution:
👈: Video Solution
µ
=
∑
x
i
40
=
30
⇒
∑
x
i
=
1200
σ
2
=
∑
x
i
2
40
−
(
30
)
2
=
25
⇒
∑
x
i
2
=
37000
After omitting two wrong observations
∑
y
i
=
1200
−
12
−
10
=
1178
∑
y
i
2
=
37000
−
144
−
100
=
36756
Now
σ
2
=
∑
y
i
2
38
−
(
∑
y
i
38
)
2
=
36756
38
−
(
1178
38
)
2
=
−
31
2
=
38
σ
2
=
36756
−
36518
=
238
© examsnet.com
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