# What does it mean when the standard deviation is large?

## What does it mean when the standard deviation is large?

A **large standard deviation** indicates that the data points are far from the **mean**, and a small **standard deviation** indicates that they are clustered closely around the **mean**.

## Is bigger standard deviation better?

A high **standard deviation** shows that the data is widely spread (less reliable) and a low **standard deviation** shows that the data are clustered closely around the mean (more reliable).

## What makes the standard deviation larger or smaller?

Introduction to **standard deviation** **Standard deviation** measures the spread of a data distribution. The more spread out a data distribution is, the **greater** its **standard deviation**. Interestingly, **standard deviation** cannot be negative. ... The further the data points are from the mean, the **greater** the **standard deviation**.

## What is the relationship between standard deviation and sample size?

Spread: The spread is smaller for larger **samples**, so the **standard deviation** of the **sample** means decreases as **sample size** increases.

## What happens to standard deviation if mean increases?

When the largest term **increases** by 1, it gets farther from the **mean**. Thus, the average distance from the **mean** gets bigger, so the **standard deviation increases**. When each term moves by the same amount, the distances between terms stays the same. ... The **standard deviation** decreases.

## What is standard deviation used for in real life?

You can also use **standard deviation** to compare two sets of data. 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.

## What can the standard deviation tell us?

It **tells you**, on average, how far each score lies from the **mean**. In normal distributions, a high **standard deviation** means that values are generally far from the **mean**, while a low **standard deviation** indicates that values are clustered close to the **mean**.

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