Relative Frequency Examples
Example 1: Vaibhav has 5 oranges, 10 mangoes, and 6 bananas. Find the relative frequency of each fruit.
Solution:
Given,
- Frequency of Oranges = 5
- Frequency of Mangoes = 10
- Frequency of Bananas = 6
Sum of frequency of All the Fruits(S) = Frequency of Oranges + Frequency of Mangoes + Frequency of Bananas
S = 5 + 10 + 6
S = 21
Relative Frequency of Oranges = (Frequency of Oranges)/ (Sum of Frequency of All Fruits)
= 5/21
Relative Frequency of Mangoes = (Frequency of Mangoes)/ (Sum of Frequency of All Fruits)
= 10/21
Relative Frequency of Bananas = (Frequency of Bananas)/ (Sum of Frequency of All Fruits)
= 6/21
Example 2: A class has 55 boys and 35 girls. Find the relative frequency of each gender.
Solution:
Given,
- Frequency of Boys = 55
- Frequency of Girls = 35
Sum of Frequency(S) = Frequency of Boys + Frequency of Girls
S = 55 + 35
S = 90
Relative Frequency of Boys = (Frequency of Boys)/ (Sum of Frequency)
= 55/90
Relative Frequency of girls = (Frequency of Girls)/ (Sum of Frequency)
= 35/90
Example 3: Anu has 6 candies, 8 chocolates, 4 toffees, and 8 lollipops. Find the relative frequency of each.
Solution:
Given,
- Frequency of Candies = 6
- Frequency of Chocolates = 8
- Frequency of Toffees = 4
- Frequency of Lollipops = 8
Sum of Frequency(S) = Frequency of Candies + Frequency of Chocolates + Frequency of Toffees + Frequency of Lollipops
S = 6 + 8 + 4 + 8
S = 26
Relative Frequency of Candies = (Frequency of Candies)/ (Sum of Frequency)
= 6/26
Relative Frequency of Chocolates = (Frequency of Chocolates)/ (Sum of Frequency)
= 8/26
Relative Frequency of Toffees = (Frequency of Toffees)/ (Sum of Frequency)
= 4/26
Relative Frequency of Lollipops = (Frequency of Lollipops)/ (Sum of Frequency)
= 8/26
Example 4: Find the relative frequency of each term from the table. The table added below shows the marks scored by 30 students in a test out of 10.
Marks |
Frequency |
---|---|
5 |
9 |
6 |
7 |
7 |
6 |
8 |
2 |
9 |
6 |
Solution:
The relative frequency of all the terms is added in the table below,
Total Frequency = Total Students = 30
Marks |
Frequency |
Relative Frequency |
---|---|---|
5 |
9 |
9/30 = 0.3 |
6 |
7 |
7/30 = 0.2333 |
7 |
6 |
6/30 = 0.2 |
8 |
2 |
2/30 = 0.066 |
9 |
6 |
6/30 = 0.2 |
Important Maths Related Links:
Relative Frequency: Formula, Definition & How to Find Relative Frequency
Relative Frequency in Statistics: Frequency in mathematics is a measure of how often a quantity is present and represents the chances of occurrence of that quantity. In other words, frequency depicts how many times a particular quantity has occurred in an observation.
Relative Frequency is the frequency of an observation concerning the total number of observations. An object’s relative frequency is calculated using the formula Relative frequency = f/n where f is the frequency of an observation and n is the total frequency of the observation of the data set.
We will learn in detail about Relative Frequency, Relative Frequency meaning, Relative Frequency formulas, Relative Frequency examples, and relative frequency distribution.
Table of Content
- Relative Frequency
- Relative Frequency Meaning
- Relative Frequency Formula
- Relative Frequency Distribution
- Structure of Relative Frequency Distribution
- Difference Between Probability and Relative Frequency
- How to Find Relative Frequency?
- Relative Frequency Table
- Cumulative Relative Frequency
- Relative Frequency Examples
- Relative Frequency – Practice Problems
Contact Us