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The variance of a set of value x₁, x₂, …, xnx_nxn​​ is given by which of the following formulae?
Question

The variance of a set of value x₁, x₂, …, xnx_n​ is given by which of the following formulae?

A.

(Σx2)/n(Σx/n)2(Σx^2)/n-(Σx/n)^2​​

B.

(Σx2)/nΣx/n(Σx^2)/n-Σx/n​​

C.

(Σx/n)2(Σx2)/n(Σx/n)^2-(Σx^2)/n​​

D.

(Σx/n)2(Σx/n)^2​​

Correct option is A

Solution:
The correct formula for the variance of a set of values x1,x2,,xnx_1, x_2, \dots, x_n​ is:
Variance=x2n(xn)2\text{Variance} = \frac{\sum x^2}{n} - \left( \frac{\sum x}{n} \right)^2​​

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