## Frequency and Cumulative Frequency

In the first video, we are going to use frequency and cumulative frequency.

**For example:**

List: 3, 3, 3, 9, 12, 14, 14, 15, 19, 29, 34, 34, 35, 36, 37

Let’s make a table to group the numbers. Make sure that the intervals are the same for all groups.

**Frequency**

Range | Tally | Frequency |

||| | 3 | |

| | 1 | |

|||| | 4 | |

| | 1 | |

0 | 0 | |

| | 1 | |

||| | 3 | |

|| | 2 |

Cumulative frequency starts from the first value, and the initial value remains when moving on to the next group.

**For example:**

Range | Tally | Frequency |

||| | 3 | |

|||| | 4 | |

8 | ||

9 | ||

9 | ||

10 | ||

13 | ||

15 |

## Representing Frequency and Cumulative Frequency with a Histogram

In the second video, we are going to create histogram.

**Histogram:
**Let’s use the same list from the first video. Histograms look relatively close to bar graphs with minor changes, but the overall ideas are the same. Mark the

*x-axis*with the desired intervals and the

*y-axis*with the values. Make sure that the values are increasing at a constant rate.

For the cumulative frequency, each interval of the histogram is going to be the sum from the first interval to the current interval as shown below:

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