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  • Let x1, x2, ..., xn be n observations and X bar be their arithmetic mean. The formula for the standard deviation is given by

Let x1, x2, ..., xn be n observations and \bar{X} be their arithmetic mean. The formula for the standard deviation is given by

\\A. \left (\mathrm{x}_{\mathrm{i}}-\overline{\mathrm{x}} \right )^{2} \\B. \frac{\left(x_{i}-\bar{x}\right)^{2}}{n} \\C. \sqrt{\frac{\left(\mathrm{X}_{\mathrm{i}}-\overline{\mathrm{X}}\right)^{2}}{\mathrm{n}}} \\D \sqrt{\frac{x_{i}^{2}}{n}+\bar{x}^{2}}

Answers (1)

. \\ \text{We know standard deviation for }x_{1},~x_{2}, \ldots .. , x_{n}\text{~ observations can be written as } \\ \\ \sigma =\sqrt {\frac{1}{n}~~ \sum _{i=0}^{n} \left( x_{i}-\overline{x} \right) ^{2}~} \\

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