## Range

The range is a measure of the spread of a data set. The range of a set of numerical data is the difference between the largest data value and the smallest data value. For example:

• The data set 5, 11, 12 has range 12 – 5 = 7
• The data set 22, 46, 50 has range 50 – 22 = 28.

The larger the range, the greater the spread of the data values.

#### Example 11

A student obtained the following marks out of 50 in seven tests.

 43 35 41 29 33 39 42

Calculate the range.

#### Solution

\begin{align}\text{Range}\ &=\text{largest data value – smallest data value}\\\\ &=43\ – 29\\\\ &=14\end{align}