Home
Class 11
MATHS
If barx1,barx2,barx3,….., barxn are the ...

If `barx_1,barx_2,barx_3,….., barx_n` are the means of n groups with `n_1,n_2,…..n_i` numbers of observation respectively , then the mean `barx` of all the group taken together is given by

A

`sum_(i=1)^n n_ibarx_i`

B

`(sum_(i=1)^n n_ibarx_i)/n^2`

C

`(sum_(i=1)^n n_ibarx_i)/(sum_(i=1)^n n_i`

D

`(sum_(i=1)^n n_ibarx_i)/(2n)`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

The mean of n observations x_1,x_2,…………..x_n is barx . If (p+q) is added to each observations then prove that the mean of the new set of observations is barx+(p+q) .

If barx is the mean of x1, x2,x2,x3, ………..xn , then the mean of x1+a,x2+a, x3+a...xn+a

If barx represents the mean of n observations x_1, x_2,…….,x_n , then value of sum_(i=1)^n (x_1-barx) is :

If C_(1), C_(2), C_(3) ….. represent the speeds on n_(1), n_(2) , n_(3)….. molecules, then the root mean square speed is

Let barx be the mean of x_1,x_2,……,x_n and bary the mean of y_1,y_2……,y_n barz is the mean of x_1,x_2,…. ,x_n, y_1, y_2 is equal to :

There are n arithmetic means between 3 and 17. The ratio of the last mean to the first mean is 3: 1. Find the value of n.

If barx is the mean of x1,x2,x3, ………..xn , then for a ne 0, the mean of ax_1,ax_2,…..,ax_n,(x_2)/a, (x_2)/a ,……., (x_n)/a is :

Given that bar x is the mean and sigma^2 is the variance of n observations x_1 , x_2 ,.... x_n . Prove that the mean and variance of the observations ax_1, ax_2, ax_3 ,......, ax_n are a bar x and a^2 sigma^2 , respectively, (a ne 0) .