Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 16, 2023


The online relative frequency calculator tool helps to speeds up the process by calculating the relative frequency in a fraction of a second. A calculator table describing how many times given values occur relative to all the observations in the dataset can be found using an online relative frequency calculator. The frequency distribution calculator also gives you the number of other descriptors for the data you've entered. So, if you're curious about how it works and how it displays a frequency distribution table, go ahead and start investigating!

What Does Relative Frequency Mean?

The ratio of the number of successful trials to the total number of trials conducted is defined as the relative frequency of an event. The relative frequency is calculated by dividing the number of trials by the number of times something happens. The percentage form of the relative frequency should be used.

Due to the nature of the experiment, different relative frequencies can be obtained by repeating it. To figure out the frequency, we'll need to do the following:

  • Calculate the population's overall frequency.
  • Calculate the frequency of a population subgroup.

Relative Frequency Formula

Relative frequency is calculated by comparing the digital repetition frequency to the total frequency of all numbers. The relative frequency is calculated by dividing the individual frequency of the element by the total number of repetitions that occur.

The relative frequency distribution calculation formula is as follows:

Relative Frequency = f / n

  • Here,
  • n = total frequencies
  • f = the total number of times the data was observed in a single observation

Cumulative Relative Frequency

Cumulative Relative Frequency (CRF) is the sum of previous relative frequencies. To get this, multiply the current relative frequency by all previous relative frequencies. The sum of all observations is the final value. Because the sum of the previous frequencies has been increased.


How to Use the Relative Frequency Calculator?

The relative frequency calculator should be used in the following manner:

  • Step 1: In the appropriate input fields, enter the inputs
  • Step 2: To calculate the relative frequency, click the "Calculate Relative Frequency" button.
  • Step 3: Finally, the output field will display the relative frequency of an event.

Relative Frequency Definition & Applications

Without context, numbers and formulae are rarely useful to us. When would the relative frequency equation be useful? Sports, it turns out, can serve as a great real-life example.

In this case, we'll look at a specific Team X from one of the most prestigious soccer leagues. When their best player left in 2018, their opponents must have become more optimistic about their chances in the future. Assume you're the manager of another team at the time, and the season is 11 weeks old. It's time to assess Team X's form before facing them.

So far, Team X appears to have won five games, lost four, and drawn two. As a result, their empirical probability of losing is 4/11, as they have lost four of their eleven games. If you prefer not to be defeated, you can calculate the cumulative relative frequency of Team X's losses and draws. When both of these numbers are added together, the result is 6/11. You can get about 54.5 percent by converting this fraction to a percentage.

You could make a relative frequency distribution table to show it to the players graphically:

Team X's result

Relative Frequency

Win 

5/11

Draw

2/11

Loss

4/11

FAQs on Relative Frequency Calculator

1. What is the definition of a relative frequency table?

A relative frequency table is a graph that depicts experimental probabilities for a specific type of data based on the sampled population. Rather than percentages, their values are usually expressed as decimal fractions.


2. Is there a difference between absolute and relative frequency?

The proportion or fraction of times a value appears in a data set is called relative frequency. On the other hand, the cumulative frequency distribution provides subtotals of all previous frequencies in the frequency distribution.


3. What is the best way to use relative frequency?

Very large values can be simplified using relative frequency. If you have a trial with twenty-five successes per hundred trials, for example, it might be easier to set the relative frequency to 1/4.


4. Is relative frequency expressed as a percent?

A frequency count is a count of how many times something happens. Relative frequency is expressed as a proportion in the equation above. It is frequently expressed as a percentage as well. As a result, a relative frequency of 0.50 corresponds to a percentage of 50%.


5. What are the methods for determining relative and cumulative frequency?

Divide the frequency by the total number of data values to get the relative frequency. Add all of the previous relative frequencies to the current row's relative frequency to get the cumulative relative frequency.