# How do you find the standard deviation of X?

## How do you find the standard deviation of X?

**To calculate the standard deviation of those numbers:**

- Work out the Mean (the simple average of the numbers)
- Then for each number: subtract the Mean and square the result.
- Then work out the mean of those squared differences.
- Take the square root of that and we are done!

## What is the sample standard deviation of X Bar?

The **standard deviation of x**-**bar** (denoted by *sigma* with a subscript **x**-**bar**) is equal to *sigma*/(n^. 5) (*sigma* is the **standard deviation** of the **population**.)

## What does Σ X mean?

The symbol '**Σ X**i' represents the sum of all scores present in the population (say, in this case) **X**1 **X**2 **X**3 and so on. The symbol 'N' represents the total number of individuals or cases in the population.

## Can average deviation be zero?

(the **average**) - the sum of all data values divided by the number of the data values. - the difference between a data value in a set and the **mean** of the set. - the **mean** (**average**) of all **deviations** in a set equals **zero**. ... The larger the MAD, the greater variability there is in the data (the data is more spread out).

## How mean deviation is calculated?

**Mean deviation** is a statistical measure of the average **deviation** of values from the **mean** in a sample. It is **calculated** first by finding the average of the observations. The difference of each observation from the **mean** then is **determined**. ... In our example, the average is 8.

## What does the mean absolute deviation tell you?

**Mean absolute deviation** (MAD) of a data set is the average distance between each data value and the **mean**. **Mean absolute deviation** is a way to describe variation in a data set. **Mean absolute deviation** helps **us** get a sense of how "spread out" the values in a data set are.

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