wikiHow
Relative Frequency Calculator
To calculate the relative frequency of a particular event or category within a data set, you need to divide the frequency of that event by the total number of data points in the set. The relative frequency is expressed as a proportion or percentage.
Here are the steps to calculate relative frequency:
1. Determine the frequency: Count the number of occurrences of the event or category you are interested in within the data set. Let's denote this count as "f".
2. Find the total number of data points: Count the total number of data points in the data set. This includes all events or categories, not just the one you are calculating the relative frequency for. Denote this count as "N".
3. Calculate the relative frequency: Divide the frequency (f) by the total number of data points (N). This can be expressed as a decimal or a percentage.
Relative Frequency = f / N
4. Optional: Convert to a percentage: If desired, you can multiply the relative frequency by 100 to express it as a percentage.
Relative Frequency (as a percentage) = (f / N) * 100
The relative frequency represents the proportion or percentage of the data set that corresponds to a specific event or category.
Note: The sum of the relative frequencies for all events or categories in a data set should add up to 1 (or 100% if expressed as percentages).
Example:
Let's say you have a data set of 50 students and you want to calculate the relative frequency of students who scored above 80 on a test.
1. Determine the frequency: Suppose 20 students scored above 80. Therefore, f = 20.
2. Find the total number of data points: The total number of students in the data set is 50. Hence, N = 50.
3. Calculate the relative frequency: Divide the frequency by the total number of data points.
Relative Frequency = 20 / 50 = 0.4
4. Optional: Convert to a percentage. Multiply the relative frequency by 100.
Relative Frequency (as a percentage) = 0.4 * 100 = 40%
In this example, the relative frequency of students who scored above 80 is 0.4 or 40%.
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