Relative Frequency Calculator

Relative Frequency Calculator

Use this relative frequency calculator statistics to find how many times a particular value occurs within the given dataset relative to the total number of observations. Our calculator generates a relative frequency distribution table for grouped or ungrouped data, showing intervals, frequencies, relative frequencies, and cumulative frequencies to help you understand data distribution.

What Is Relative Frequency?

The relative frequency is the ratio of the number of times an event occurs to the total number of trials. This frequency can be represented as a fraction, percentage, or decimal value.

Relative Frequency Formula:

Relative Frequency = f n

Where:

• f = Frequency of specific group
• n = Total frequencies

Cumulative Relative Frequency:

Cumulative relative frequency is the accumulation of previous relative frequencies. To get this, add all previous relative frequencies to the current relative frequency. The last value becomes 1, representing 100% of the data. It helps to understand the proportion of the data that falls below a specific value. 

How To Find Relative Frequency?

• Determine the occurrences of all the events
• Find the total number of observations by performing the sum of all events (frequencies)
• Now get the relative frequency by dividing the frequency of each event by the total number of observations

Example:

Suppose 100 students of a class got the grades A, B, C, D, and F:

• A: 10
• B: 20
• C: 30
• D: 25
• F: 15

Find the relative and cumulative frequency

Solution:

• Frequency of A = 1
• Frequency of B = 1
• Frequency of C = 1 
• Frequency of D = 1
• Frequency of F = 1

Calculate the relative frequency for each grade:

• Relative frequency of A = 1 5
• Relative frequency of A = 0.2
• Relative frequency of B = 1 5
• Relative frequency of B = 0.2
• Relative frequency of C = 1 5
• Relative frequency of C = 0.2
• Relative frequency of D = 1 5
• Relative frequency of D = 0.2
• Relative frequency of F = 1 5
• Relative frequency of F = 0.2

Calculate the cumulative relative frequency:

A = 0.2

B = 0.2 + 0.2 = 0.4

C = 0.2 + 0.2 + 0.2 = 0.6

D = 0.2 + 0.2 + 0.2 + 0.2 = 0.8

F = 0.2 + 0.2 + 0.2 + 0.2 + 0.2 = 1.0

Result Interpretation:

The following relative frequency table shows the experimental probabilities for the given data.

• In the relative frequency table, the relative frequency shows the proportion of students getting each grade
• The cumulative relative frequency represents the proportion of the student, having a grade less or equal to a specific grade values

You can simplify your data analysis by using our relative frequency distribution calculator and generate similar results for your dataset in seconds!

FAQ’s:

What's The Difference Between Frequency And Relative Frequency?

• Frequency: This is the absolute number of times a value or data point occurs within a dataset 
• Relative Frequency: It is the proportion or percentage of times a specific value occurs in proportion to the total

Is Relative Frequency And Probability The Same?

Both of these terms are closely related to each other but they are not the same. 

• Relative Frequency: It works with the actual data and finds how many times an event occurs in a certain experiment 
• Probability: It's a prediction that tells what might happen. It is based on assumptions and may vary from the actual scenario 

Why Is Relative Frequency Important?

Relative frequency is a crucial factor when you need to compare datasets of different sizes. With the help of it, you can convert the counts to proportions and compare value distribution for different groups of data. Meanwhile, the distribution of values is necessary for data analysis. 

Using the cumulative relative frequency calculator, you can efficiently determine relative frequencies and gain valuable insights into your data.

Reference:

From the source of Wikipedia: Frequency, Relative Frequency.