### Median, Mode and Range of a frequency table

We already know how to find the average of discrete data (refer to Mean, Median and Mode). We also know how to find the Range of a set of data (refer to Range)

- Example 1. This table shows athletic stars awarded to students in a sports club. Find the median, mode and range of

Athletic stars x | 1 | 2 | 3 | 4 | 5 |

Frequency f | 2 | 8 | 4 | 3 | 3 |

#### Median

Order the values, then work out the middle value, that is

10^{th} and 11^{th} value:

1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5

The median is the mean of the 10^{th} and 11^{th}

Median | = | = 2.5 |

#### Mode

Find the most common value: 2 occurs 8 times so it is 2

#### Range

to: