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

MCQ

Choose the correct answer. Let $x_1, x_2, ...,x_n$ be n observations and $\bar{\text{x}}$ 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
$\sqrt{\frac{\sum(\text{x}_\text{i}-\bar{\text{x}})^2}{\text{n}}}$

✓

Answer

Correct option: C.

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

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

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