# Range

Range is one of the measures used to describe a dataset. Range shows what it sounds like -- how far a dataset spans. Range can be written as a span (e.g., from 10 to 30), but a single measure of range is simple:

Range is the dataset's maximum (highest number) minus its minimum (lowest number).

So, finding range is a simple subtraction problem. Just make sure that you properly identify the minimum and maximum. One off the best ways to make sure you aren't missing a number is to order the numbers (just like you would when finding a median).

Example:

Let's say you have the following dataset:

$43$, $56$, $18$, $67$, $44$, $47$

Rather than just trying to eyeball the data, order the numbers from least to greatest:

$18$, $43$, $44$, $47$, $56$, $67$

Find the minimum and maximum of the dataset:

$\bbox[5px, border:2px solid blue]{18}$, $43$, $44$, $47$, $56$, $\bbox[5px, border:2px solid green]{67}$

Subtract the minimum from the maximum:

$67-18=49$

The range of this dataset is $49$.

Remember, the range of a dataset is just what it sounds like: how far the dataset ranges, or the distance from highest to lowest datapoint.

#### Practice Problems:

## Range

Find the range of the following datasets.

1. $41, 73, 17, 57, 81, 89, 48$

2. $96, 83, 79, 54, 99, 90, 45$

3. $16, 38, 77, 36, 43$

4. $75, 71, 25, 47, 84, 57, 54$

5. $60, 62, 64, 58, 13, 90, 66$

6. $74, 99, 64, 65, 79, 43, 80$

7. $87, 87, 75, 82, 69$

8. $32, 18, 94, 17, 34, 19, 17$

9. $51, 82, 41, 78, 29, 73, 24, 25, 29$

10. $25, 13, 97, 64, 61, 98, 73, 62, 47$

11. $16, 12, 34, 28, 45, 23, 45$

12. $21, 67, 66, 67, 79$

#### Answer Key: