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UPSC CDS 2 2022 Math Paper
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© examsnet.com
Question : 37
Total: 100
Mean marks of 50 students were found to be 78.4. But later it was detected that 95 was misread as 59 and 25 was misread as 52 . What is the difference between correct mean and incorrect mean?
0.04
0.08
0
.12
0
.18
Validate
Solution:
👈: Video Solution
Mean of observations = sum of observations/Number of observations
The sum of observations =
X
⇒ Initial average =
X
50
=
78.4
After correction,
Final average =
[
X
+
(
95
−
59
)
+
(
25
−
52
)
]
50
⇒ Final average =
(
X
+
9
)
50
Therefore,required difference in average
⇒
(
X
+
9
−
X
)
50
=
9
50
=
0.18
© examsnet.com
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