# Frequency Distribution Formula

The frequency distribution formula is the distribution of frequency in either tabular format or graphically. The frequency of a given data refers to the number of times the data points occur and the frequency distribution refers to a tabular representation that shows each data point and its frequency. The frequency distribution formula is one of the many ways to organize the given data. Let us study the frequency distribution formula using solved examples.

## What is Frequency Distribution Formula?

To know the frequency of data, we have to divide the number of categories/values into intervals, then count the number of results in each interval, then the number of times of occurrences represents frequency. The frequency distribution formula is given as:

Frequency distribution refers to a table that shows each item and its frequency.

Let's take a quick look at a couple of examples to understand the frequency distribution formula better.

## Solved Examples Using Frequency Distribution Formula

**Example 1: **Alison noted her results after her 12 throws of a fair dice as follows: 4, 6, 1, 2, 2, 5, 6, 6, 5, 4, 2, 3. Create the frequency distribution of the given data using the frequency distribution formula.

**Solution:**

To find: Frequency distribution.

Using the frequency distribution formula,

Outcomes | Frequency |
---|---|

1 | 1 |

2 | 3 |

3 | 1 |

4 | 2 |

5 | 2 |

6 | 3 |

Total | 12 |

**Example 2: **Favourite subject of 20 students is given below. Find the frequency distribution of the subjects given below.

Mathematics | English | Science |

Science | Mathematics | Science |

English | Art | Mathematics |

Mathematics | Science | Art |

Art | Science | Mathematics |

Art | Mathematics | English |

English | Mathematics |

**Solution:**

To find: Frequency distribution

Subject | Frequency |
---|---|

English | 4 |

Art | 4 |

Science | 5 |

Mathematics | 7 |

Total | 20 |

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