Question

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.​

Answer 1

Answer:

Answer

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

)