# What is the standard deviation in math?

## What is the standard deviation in math?

The **Standard Deviation** is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma) The **formula** is easy: it is the square root of the Variance.

## How do you explain standard deviation to a child?

**Standard deviation** is a number used to tell how measurements for a group are spread out from the average (mean or expected value). A low **standard deviation** means that most of the numbers are close to the average, while a high **standard deviation** means that the numbers are more spread out.

## What happens if the standard deviation is 0?

A **standard deviation** can range from **0** to infinity. A **standard deviation** of **0** means that a list of numbers are all equal -they don't lie apart to any extent at all.

## What is the maximum standard deviation?

The **maximum standard deviation** would arise from an outcome where half of the observations are at one extreme and the other half are at the other extreme.

## How high can a standard deviation be?

there is no value that is "**high**." In one application I might expect a **standard deviation** that is close to zero no matter what the mean is.

## What is a low standard deviation example?

For **example**, a weather reporter is analyzing the high temperature forecasted for two different cities. A **low standard deviation** would show a reliable weather forecast. The mean temperature for City A is 94.

## What numbers have the smallest standard deviation?

The **smallest** possible **standard deviation** for any set is 0, and the **standard deviation** of a set will be zero when all the data points are the same. Thus, the set from answer A will **have** a **standard deviation** of 0.

## When would you want a small standard deviation?

A low **standard deviation would** show a reliable weather forecast. The mean temperature for City A is 94.

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