# . standard deviation of data

Standard deviation is the degree of dispersion or the scatter of the data factors relative to its mean, in descriptive statistics. It tells how the values are spread throughout the data pattern and it is the measure of the variant of the data points from the mean. The general deviation of a sample, statistical population, random variable, data set, or probability distribution is the square root of its variance.

Steps to find standard deviation data

-Find the mean, that's the arithmetic mean of the observations.

-Find the squared differences from the mean. (The data value - mean)2

-Find the common of the squared differences. (Variance = The sum of squared differences ÷ the number of observations)

-Find the square root of variance. (Standard deviation = √Variance)

Formula of standard deviation data

The spread of statistical data is measured by the standard deviation. The degree of dispersion is computed through the approach of estimating the deviation of data points. You can study about dispersion in summary statistics. As discussed, the variance of the data set is the average square distance among the mean value and each data value. And standard deviation defines the spread of data values across the mean. Here are general deviation formulas which are used to find the standard deviation of pattern data and the standard deviation of the given population.