The standard deviation of n observations x1, x2, ldots, xn is given by

Question

The standard deviation of n observations x1, x2, ldots, xn is given by (A) σ=√ displaystyle∑i=1n(xi- barx)2 (B) σ=√ displaystyle∑i=1n(xi+ barx)2 (C) σ=√(1/n) displaystyle∑i=1n(xi- barx)2 (D) σ=√(1/n) displaystyle∑i=1n(xi+ barx)2

Tardigrade Admin · Accepted Answer

The standard deviation, usually denoted by σ, is given by σ=√(1/n) displaystyle∑i=1n(xi- barx)2

Q. The standard deviation of $n$ observations $x_{1}, x_{2}, \dots, x_{n}$ is given by

$σ = i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2}$

$σ = i = 1 \sum n (x_{i} + \overset{x}{ˉ})^{2}$

$σ = \frac{1}{n} i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2}$

$σ = \frac{1}{n} i = 1 \sum n (x_{i} + \overset{x}{ˉ})^{2}$

The standard deviation, usually denoted by $σ$ , is given by
$σ = \frac{1}{n} i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2}$

Q. The standard deviation of n observations x1​,x2​,…,xn​ is given by

σ=i=1∑n​(xi​−xˉ)2​

σ=i=1∑n​(xi​+xˉ)2​

σ=n1​i=1∑n​(xi​−xˉ)2​

σ=n1​i=1∑n​(xi​+xˉ)2​