Relative Frequency: Overview, Questions, Preparation

We know that frequency is the event that repeatedly occurs over a certain time period. Mainly two things are important for the frequency that is:

• Frequency count for the total observations
• Frequency count for a subcategory of the observation

A relative frequency is a term that basically defines the ratio of a single frequency with respect to the total observations. Mathematically Relative Frequency is:

Relative frequency = (number of occurrence time of the individual data /Total frequency)

Steps to calculate the Relative Frequency for a given data?

Relative frequency is the ratio of the frequency of an event and the total of the frequency.

Let's take an example to figure out the relative frequency for the events.

Suppose we are having the frequency of an Indian cricket team's scores, and we are provided with their frequencies. 

Now to figure out the relative frequencies - 

Step 1: We will first calculate the total of the frequency, which comes out to be 40 for the below data.

Step 2: Now divide each given frequency with the total of the frequency.

Here's the frequency table of the scores along with their intervals.

Relative frequency is the topic from the chapter Statistics. The chapter Statistics is highly important in class 9th, 10th, 11th, and in various competitive exams. The chapter's weightage in class 11 exams ranges from 7 to 8 marks.

Relative frequency is a highly important topic in Statistics as well as in probability. Cumulative Relative Frequency is also a part of the chapter that explains the sum of the previous relative frequency with the current relative frequency. Apart from that, the chapter also includes various operations on the grouped data like:

• Range
• Measures of Dispersion 
• Mean Deviation, Standard Deviation, and Variance 
• Analysis of Frequency Distributions

1. A die was tossed 40 times, and it showed the number 4 six times. Now calculate the relative frequency for the number 4? 

Solution.

Total Number of Observations = 40
Number of trials = 6
Therefore by applying the formula, we get,
Relative frequency = 6/40 = 0.15.

2. What will be the relative frequency if the coin showed 15 times heads out of 20 times of tossing it?

Solution.
Number of heads appeared = 15
Total Observations = 20
Therefore, Relative frequency(f) = 15/20
Hence, the relative frequency for heads will be 0.75

3. Ramesh scored a century in 5 cricket matches out of 11 matches; what will be the relative frequency?

Solution.

Number of trials = 5
Total Matches = 11
Relative frequency = 5/11 = 0.45

Q: What is the last value of cumulative frequency?

Q: Mention one practical use of relative frequency?

Q: Does the probability chapter also use the applications of statistics?

Q: Mention one difference between Frequency and Relative Frequency.

Q: What do you mean by Relative Frequency histogram?