find the mean value x² ex from x=1 of k mean value to x=2
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Correct option is C)
Given the mean of x and
x
1
is M
Then M=
2
x+
x
1
=M
⇒2M=x+
x
1
square both these sides
∴(x+
x
1
)
2
=(2M)
2
⇒x
2
+2(
x
1
)
2
=4M
2
⇒x
2
+(
x
1
)
2
=4M
2
−2
Then mean of x
2
and
x
1
2
2
x
2
+
x
2
1
=4M
2
+2⇒x
2
+
x
1
2
=2M
2
+1
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