The frequency table is usually made up of three columns.

**First Column: **The first column contains each item or each of the events, given in raw data. These items are usually arranged in order of magnitude starting with the smallest.

**Second Column: **The second column contains the tally charts which represent the number of times a particular item or events takes place.

**Third Column: **The third column contains the frequency of the item or event. The frequency is the number of times each particular value occurs in a data.

**Example of Frequency Table**

Mark | Tally | Frequency |

2 | â”‚â”‚â”‚ | 3 |

3 | â”‚â”‚â”‚ | 3 |

4 | 6 | |

5 | 5 | |

6 | â”‚ | 1 |

7 | â”‚â”‚â”‚â”‚ | 4 |

8 | â”‚â”‚ | 2 |

9 | â”‚ | 1 |

10 | 5 | |

Total | 30 |

**Note:** Take note that in tallyÂ ~~â”‚â”‚â”‚â”‚~~ means 5

### Example:

The following figures show the number of scores of 40 pupils in a mathematics test:

5Â Â 5Â Â 4 Â Â 3Â Â 2 Â Â 2Â Â 3Â Â 8Â Â 3Â Â 5Â Â 3Â Â 4Â Â 2Â Â Â 1

5Â Â 4Â Â 2Â Â 1Â Â 3Â Â 2 Â Â 4Â Â 5Â Â 3Â Â 8Â Â 7Â Â 6Â Â 5Â Â 4

5Â Â 7Â Â 6Â Â 3Â Â 8Â Â 6Â Â 3Â Â 5Â Â 7Â Â 5Â Â 4Â Â 3**a)** Use a tally mark to prepare a frequency table for this data.

**Solution:**

**Frequency Table**

Mark | Tally | Frequency |

1 | â”‚â”‚ | 2 |

2 | 5 | |

3 | 9 | |

4 | 6 | |

5 | 8 | |

6 | â”‚â”‚â”‚â”‚ | 4 |

7 | â”‚â”‚â”‚ | 3 |

8 | â”‚â”‚â”‚ | 3 |

Total | 40 |

### Example:

In an English test, the following marks were obtained by a set of students:

85, 75, 95, 80, 80, 75, 90, 84, 95,

84, 85, 80, 80, 75, 80, 75, 80, 84,

81, 80, 75, 90, 80.**i) **Use a tally mark to prepare a frequency table for this data.**ii)** How many students took the test?**iii)** Which mark had the highest frequency?

**Solution:**

**i) Frequency Table **

Mark | Tally | Frequency |

75 | 5 | |

80 | 9 | |

81 | â”‚ | 1 |

84 | â”‚â”‚â”‚ | 3 |

85 | â”‚â”‚ | 2 |

90 | â”‚â”‚â”‚ | 3 |

95 | â”‚â”‚ | 2 |

Total | 25 |

**ii)** The total frequency shows the total number of students which is 25.

**iii)** From the frequency table, the mark with the highest frequency is 80.

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