Folder:

113 Math

File:

113.022 Statistics - Average, Mean, Mode, Dispersion, Range

# Average, Mean, Mode

**Average** = Mean = Central Tendency

**Median** = Middle number

**Mode** = most common number

**Interquartile range** is the amount of spread in the middle 50% of a dataset

Interquartile (IQR) range =

- Find the median

- Find the median of the left half

- Find the median of the right half

- Subtract the smaller median from the larger medium

- That ^^ is the Interquartile range

Dispersion is the amount of spread in a dataset.

```
-10, 0, 10, 20, 30 8, 9, 10, 11, 12
```

- The dataset on the left is more disperse than the one on the right
- They have the same average (10) but get there in very different ways

**Range**

- Given a dataset, the range is simply

- order the numbers in the dataset ascending

- subtract the largest number from the smallest number

- Range can often tell you the difference in dispersion

##### Tags:

- math
- statistics