The variance of 1, 2,…………..n is 24. Find n.

Let x_1,x_2,……,x_n be n observations, and let barx be their arithimetic mean and sigma^2 be their variance. Statement1: Variance of 2x_1, 2x_2,…..,2x_n is 4 alpha^2 Statement2: Arithmetic mean of 2x_1, 2x_2,…..,2x_n is 4 barx .

The variance of 1st n natural number is 24. Find n.

Obtain the variance of a binomial distribution and show that the variance cannot exceed (n)/(4) .

The variance of a binomial distribution with parameters n and p is

The variance of a binomial distribution with parameters n and p is-

Let x_(1), x_(2),….,x_(n) be n observations, and let barx be their arithmatic mean and sigma^(2) be their variance. Statement 1 : Variance of 2x_(1),2x_(2),….,2x_(n) is 4sigma^(2) Statement 2 : Arithmatic mean of 2x_(1), 2x_(2),….,2x_(n) is 4 bar x .

Find the variance of first n natural numbers.

variance of 1st n natural number is

The variance of first n natural numbers is 44. Find the value of n.

Prove that the variance of the first n odd positive integers is the same as the variance of the first n event positive integers.