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Byju's Answer
Standard XII
Mathematics
Mean
10 is the mea...
Question
10
is the mean of
25
observations. If
1
,
3
,
5
,
.
.
.
,
49
are added to corresponding observations, then the new mean is
A
32
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B
35
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C
39
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D
27
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Solution
The correct option is
B
35
We know that,
¯
¯
¯
x
=
1
n
n
∑
i
=
1
x
i
¯
¯
¯
x
new
=
(
x
1
+
1
)
+
(
x
2
+
3
)
+
(
x
3
+
5
)
+
.
.
.
+
(
x
25
+
49
)
25
=
x
1
+
x
2
+
x
3
+
.
.
.
+
x
25
25
+
1
+
3
+
5
+
.
.
.
+
49
25
=
10
+
25
2
25
=
35
Note:
1
+
3
+
5
+
.
.
.
+
(
2
n
−
1
)
=
n
2
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