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Which of the ...

Question

Which of the following is true about standard deviation?

A

It is a measure of spread of data about the mean.

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B

It is the cube root of sum of squared deviation from the mean divided by the number of observations.

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C

Both are correct

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D

None is correct

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Solution

The correct option is A It is a measure of spread of data about the mean.
Since, $σ_{x} = \sqrt{\frac{\sum (X_{i} - ¯ X)^{2}}{N}}$
We can say that
It is a measure of spread of data of data about the mean.

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The mean square deviations of a set of observations $x_{1}, x_{2}, \dots, x_{n}$ about a point c is defined to be $\frac{1}{n} \sum_{i = 1}^{n} (x_{i} - c)^{2}$
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