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UPSC NDA I 2021 Mathematics Solved Paper
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© examsnet.com
Question : 61
Total: 120
If
M
is the mean of n observations
x
1
−
k
,
x
2
−
k
,
x
3
−
k
,
−
x
,
x
n
−
k
, where
k
is any real number, then what is the mean of
x
1
,
x
2
,
x
3
,
1
,
x
n
?
[NDA-I 2021]
M
M
+
k
M
−
k
k
M
Validate
Solution:
👈: Video Solution
Concept:
For the observations
x
1
,
x
2
,
x
3
,
.
.
.
.
.
.
.
.
.
,
x
n
M
e
a
n
(
x
)
=
x
1
+
x
2
+
x
3
+
.
.
.
.
.
.
.
.
.
.
+
x
n
n
Calculation:
Given mean of the
n
observation is
M
M
=
x
1
−
k
+
x
2
−
k
+
x
3
−
k
+
.
.
.
.
.
.
.
.
.
⋅
x
n
−
k
n
M
=
(
x
1
+
x
2
+
x
3
+
.
.
.
.
.
.
.
.
.
.
+
x
n
)
−
n
k
n
M
=
x
1
+
x
2
+
x
3
+
.
.
.
.
.
.
.
.
.
.
+
x
n
n
−
n
k
n
M
=
x
1
+
x
2
+
x
3
+
.
.
.
.
.
.
.
.
.
+
x
n
n
−
k
M
+
k
=
x
1
+
x
2
+
x
3
+
.
.
.
.
.
.
.
.
.
.
+
x
n
n
∴
The required mean of
x
1
,
x
2
,
x
3
,
−
−
−
,
x
n
=
M
+
k
© examsnet.com
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