# 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.