If the A.M. and S.D. at n observation `x_1, x_2,………….x_n` be `barx` and s respectively, then find the A.M. and S.D. of `(-x_1, -x_2,……………-x_n, x_1, x_2,………x_n).`

Mean of n observations x_(1),x_(2),.......,x_(n) is bar(x) . If an observation x_(q) ' then the new mean is

If the mean of observations x_i, x_2,……., x_n is barx , then the mean of (x_1 + a), (x_2 + a), ….., (x_n + a) is____

Given that bar(x) is the mean and sigma^(2) is the variance of n observation x_(1), x_(2), …x_(n). Prove that the mean and sigma^(2) is the variance of n observations ax_(1),ax_(2), ax_(3),….ax_(n) are abar(x) and a^(2)sigma^(2) , respectively, (ane0) .

If in the expansion of (1+ x )^(m) (1-x) ^(n) the coefficient of x and x ^(2) are 3 and (-6) respectively, then the value of n is-

Fill in the blanks If the mean of n numbers x_1,x_2,x_3,….,x_n is barx then the mean of kx_1,kx_2,kx_3,…,kx_n is______.

If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(2) are 3 (-6) respectively then , find the value of m .

If the mean of the set of numbers x_1,x_2, x_3, ..., x_n is barx, then the mean of the numbers x_i+2i, 1 lt= i lt= n is

Prove by induction that (1+x_1)(1+x_2)(1+x_3)…….(1+x_n) ge 1+x_1+x_2+……+x_n

If A and B are coefficients of x^n in the expansions of (1+x)^(2n) and (1+x)^(2n-1) respectively, then A/B is equal to

Let x be a variable assuming values x_1 , x_2 ,……. x_n state the condition when AM(x) = GM(x) = HM(x)