# Relative & Cumulative Frequency Calculator

Calculate the relative and cumulative relative frequency of values in your dataset and visualize the results.

## Understanding Relative and Cumulative Relative Frequency

The **Relative Frequency** of a value in a dataset is the proportion of times that value occurs compared to the total number of data points. It shows how often a particular value appears relative to the total number of observations.

### Formula for Relative Frequency

The **Cumulative Relative Frequency** is the accumulation of the relative frequencies. It is the running total of relative frequencies, showing the proportion of values that are less than or equal to a certain value in the dataset.

### Example Calculation

Let's calculate the relative and cumulative relative frequencies for the following dataset:

- Data: [1, 2, 2, 3, 3, 3, 4, 4, 4, 4]

Step-by-step:

- Find the frequency of each value:
- 1 appears 1 time
- 2 appears 2 times
- 3 appears 3 times
- 4 appears 4 times
- Calculate the relative frequency for each value:
- \( \text{Relative Frequency of 1} = \frac{1}{10} = 0.10 \)
- \( \text{Relative Frequency of 2} = \frac{2}{10} = 0.20 \)
- \( \text{Relative Frequency of 3} = \frac{3}{10} = 0.30 \)
- \( \text{Relative Frequency of 4} = \frac{4}{10} = 0.40 \)
- Calculate the cumulative relative frequency:
- Cumulative relative frequency for 1 = 0.10
- Cumulative relative frequency for 2 = \( 0.10 + 0.20 = 0.30 \)
- Cumulative relative frequency for 3 = \( 0.30 + 0.30 = 0.60 \)
- Cumulative relative frequency for 4 = \( 0.60 + 0.40 = 1.00 \)

Therefore, the relative and cumulative relative frequencies for this dataset are calculated as shown.

### Further Reading

Suf is a senior advisor in data science with deep expertise in Natural Language Processing, Complex Networks, and Anomaly Detection. Formerly a postdoctoral research fellow, he applied advanced physics techniques to tackle real-world, data-heavy industry challenges. Before that, he was a particle physicist at the ATLAS Experiment of the Large Hadron Collider. Now, he’s focused on bringing more fun and curiosity to the world of science and research online.