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# The Mode

### The Mode

The mode is a method of finding the average, and represents the most commonly found number.

One way of analyzing and describing the average of a set of data is by looking at the **mode**. The mode or modal group is the data that appears the most frequently, or, in other words, is most popular.

Here is a set of data collected on the shoe sizes of 10 students. $5, \space 5, \space 6, \space 6, \space 7, \space 7, \space 7, \space 7, \space 8, \space 8$

Which is the most common number here? $5, \space 5, \space 6, \space 6, \space 7, \space 7, \space 7, \space 7, \space 8, \space 8$

$7$ is the most common number in the set of data. Therefore, $7$ can be said to be the **mode**.

Here is another set of data collected on the height of 10 students. What is the mode? $1.67, \space 1.35 ,\space 1.49 ,\space 1.56 ,\space 1.78 ,\space 1.7 , \space 1.62 ,\space 1.69 ,\space 1.68 ,\space 1.58$

We can put the heights into a grouped frequency table

This gives intervals within which individual values can fall.

Instead of a mode, we now have a modal class interval

The modal class interval is the group with the most frequency, which in this case is: $1.6 < x \leq 1.7$