# Can there be a standard deviation of 0?

## Can there be a standard deviation of 0?

to what extent a set of numbers lie apart. 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 happens to the standard deviation when a constant is added?

As Bungo says, **adding** a **constant** will not change the **standard deviation**. Multiplying by a **constant** will; it will multiply the **standard deviation** by its absolute value.

## What's the 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.

## What is the standard deviation of a data with equal value of entries?

This means that for every i, the term (xi - x )2 = 0. This means that every **data value** is **equal** to the mean. This result along with the one above allows us to say that the sample **standard deviation of a data** set is zero if and only if all of its **values** are identical.

## Is standard deviation affected by multiplication?

So the variance and **standard deviation** of A and B are both the same; they are 2 and square root of 2, respectively. Also, **multiplying** each score in a sample or population by a constant factor will multiply the **standard deviation** by that same factor.

## How does changing the standard deviation and the mean affect the normal distribution?

Know that **changing** the **mean** of a **normal** density **curve** shifts the **curve** along the horizontal axis without **changing** its shape. Know that **increasing the standard deviation** produces a flatter and wider bell-shaped **curve** and that decreasing the **standard deviation** produces a taller and narrower **curve**.

## How do you add standard deviations together?

You cannot just **add** the **standard deviations**. Instead, you **add** the variances. Those are built up from the squared differences between every individual value from the mean (the squaring is done to get positive values only, and for other reasons, that I won't delve into).

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