# What is standard deviation and its properties?

## What is standard deviation and its properties?

**Properties** of **standard deviation** **Standard deviation** is only used to measure spread or dispersion around the mean of a data set. **Standard deviation** is never negative. **Standard deviation** is sensitive to outliers. ... For data with approximately the same mean, the greater the spread, the greater the **standard deviation**.

## How do you interpret standard deviation in research?

A low **standard deviation** indicates that the data points tend to be very close to the mean; a high **standard deviation** indicates that the data points are spread out over a large range of values. A useful property of **standard deviation** is that, unlike variance, it is expressed in the same units as the data.

## What is difference between mean and standard deviation?

**Standard deviation** is basically used for the variability of data and frequently use to know the volatility of the stock. A **mean** is basically the average of a set of two or more numbers. **Mean** is basically the simple average of data. **Standard deviation** is used to measure the volatility of a stock.

## Why standard deviation is preferred over mean deviation?

It is because the **standard deviation** has nice mathematical properties and the **mean deviation** does not. The variance is the square of the **standard deviation**. The sum of the variances of two independent random variables is equal to the variance of the sum of the variables. This is fundamental.

## Is standard deviation greater than mean deviation?

**Standard deviation** is always **greater than mean deviation**.

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