Choose the correct answer. Let x_1, x_2, , x_n be n observations … - Vidyadip

MCQ

Choose the correct answer. Let $\mathrm{x}_1, \mathrm{x}_2, \ldots, \mathrm{x}_n$ be n observations and $\overline{\mathrm{x}}$ be their arithmetic mean. The formula for the standard deviation is given by:

A
$\sum(\text{x}_\text{i}-\bar{\text{x}})^2$
B
$\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{x}}$
✓
$\sqrt{\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{n}}}$
D
$\frac{\sum\text{x}_\text{i}^2}{\text{n}}-(\bar{\text{x}})^{-2}$

✓

Answer

Correct option: C.

$\sqrt{\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{n}}}$

$\sqrt{\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{n}}}$

Solution:
The formula for $\text{S.D}=\sigma=\sqrt{\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{n}}}$

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