Question

What do you understand by standard deviation?

Answer 1

Define standard deviation.

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean.

• It is calculated as the square root of the variance.
• The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.
• The standard deviation is represented by $\sigma$.

$\sigma =\sqrt{\frac{\sum _{i=1}^n{(x_i-\overline{x})}^2}{n-1}}$

where:

$x_i$ is the value of the $ith$ point in the data set

$\overline{x}$ is the mean value of the data set

$n$ is the number of data points in the data set​