The mean of n observations is x . If the first term is increased by 1, sencond by 2 and so on, then find the mean.
Answers
Answered by
1
Mean of x
1
,x
2
,...x
n
is x
n
x
1
+x
2
+x
3
+...+x
n
=x
⇒
i=1
∑
n
x=nx __(1)
on adding 1 to x
1
,2 to x
2
and so on
we get x
1
+1+x
2
+2+...+x
n
+n
=(x
1
+x
2
+...+x
n
)+(1+2+...+n)
=∑n+
2
n(n+1)
New mean =
n
Newsummation
=
n
∑n+
2
n(n+1)
=
2n
2nx+n(n+1)
=x+(
2
n+1
)
MickeyLuvsMinnie:
Kuch smjh ni aa rha h
Similar questions