The **Arithmetic Range** of a set of data is the difference between the highest and lowest values in the set.

Arithmetic Range is defined and given by the following function:

__Formula__

__Formula__

Range=L−SRange=L−S

Where −

· LL = Largest item

· SS = Smallest item

This is an absolute measure. The relative measure called as coefficient of range is given by

Coefficient of Range=L−SL+SCoefficient of Range=L−SL+S

**Example**

**Problem Statement:**

Cheryl took 7 math tests in one marking period. What is the range of her test scores and coeff.of range?

89 | 73 | 84 | 91 | 87 | 77 | 94 |

**Solution:**

Ordering the test scores from least to greatest, we get:

73 | 77 | 84 | 87 | 89 | 91 | 94 |

Range = Largest − Smallest =94−73=21Range = Largest − Smallest =94−73=21

Largest + Smallest =94+73=167Coefficient of Range=L−SL+S=21167=0.1257Largest + Smallest =94+73=167Coefficient of Range=L−SL+S=21167=0.1257

The Range of these test scores is 21 points and coeff. of range is 0.1257 points.