The geometric mean of numbers observations `x_1, x_2, x_3,….,x_n` is

The geometric mean of numbers observations 4, 8, 16, is

If overlinex is the mean of a set of n observations x_1 , x_2 , x_3…..,x_n then sum_(i=1)^n(x_i-overlinex) is equal to

If the arithmetic mean of the numbers x_1, x_2, x_3, ..., x_n is barx, then the arithmetic mean of the numbers ax_1 +b, ax_2 +b, ax_3 +b, ....,ax_n +b, where a, b are two constants, would be

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) .

The mean and standart deviation of five observations x_1,x_2,x_3,x_4,x_5 and are 10 and 3 respectively, then variance of the observation x_1,x_2,x_3,x_4,x_5,-50 is equal to

Let x_(1), x_(2), x_(3), x_(4),x_(5) be the observations with mean m and standard deviation s. The standard deviation of the observations kx_(1), kx_(2), kx_(3), kx_(4), kx_(5) is

If barx is the mean of n observations x_(1),x_(2),x_(3)……x_(n) , then the value of sum_(i=1)^(n)(x_(i)-barx) is (i) -1 (ii) 0 (iii) 1 (iv) n-1

The geometric mean of number 7, 7^2, 7^3,…..,7^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 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____