Question

How to calculate relative frequency

Answer 1

To calculate the relative frequency of a particular event or category, you can follow these steps:

1. Collect data: Gather the data for which you want to calculate the relative frequency. This could be frequencies or counts of particular events or categories.

2. Calculate the total frequency: Sum up all the counts or frequencies in your data. This will give you the total frequency.

3. Calculate the relative frequency: Divide the count or frequency of a particular event or category by the total frequency calculated in step 2. This will give you the relative frequency.

4. Express as a decimal or percentage: You can express the relative frequency as a decimal or percentage. To express as a decimal, leave the number as is. To express as a percentage, multiply the relative frequency by 100.

Here is the formula for calculating relative frequency:
Relative Frequency = (Count of Event or Category) / (Total Frequency)

Example:
Let's say you have collected data on the number of times different colors were chosen by individuals in a survey. The counts are as follows:
Red: 10 times
Blue: 15 times
Green: 5 times

Total frequency = 10 + 15 + 5 = 30

Relative frequency of Red = 10 / 30 = 1/3 or approximately 0.3333 or 33.33%
Relative frequency of Blue = 15 / 30 = 1/2 or 0.5 or 50%
Relative frequency of Green = 5 / 30 = 1/6 or approximately 0.1667 or 16.67%