# Relative Frequency Formula

• Last Updated : 01 May, 2022

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.

### What is Relative Frequency?

• Relative frequency is an extension of frequency where each frequency is represented relative to all the present frequencies of different quantities.
• Frequency in mathematics represents the actual occurrence of quantities whereas relative frequency represents the occurrence of quantities relative to each other.

### Formula of Relative Frequency

The formula for relative frequencies are:

Relative frequency of a given number (x) = Frequency of the given number(x) / Sum of frequency of all given quantities (x, x1, x2, x3, x4, x5, x6…….xn)

or

Relative Frequency = Frequency of that class or value / Total size of the data set

or

Relative frequency = Subgroup count / Total count

### Sample Questions

Question 1: Vaibhav has 5 oranges, 10 mangoes, and 6 bananas. Find the relative frequency of each fruit.

Given the Frequency of oranges = 5

Frequency of mangoes = 10

Frequency of bananas = 6

Sum of frequency of all the fruits = Frequency of oranges + Frequency of mangoes + Frequency of bananas

= 5 + 10 + 6

=21

Relative Frequency of oranges = Frequency of oranges/ Sum of frequency of all the fruits

= 5/21

Relative Frequency of mangoes = Frequency of mangoes/ Sum of frequency of all the fruits

= 10/21

Relative Frequency of bananas = Frequency of bananas/ Sum of frequency of all the fruits

= 6/21

Question 2: A class has 55 boys and 35 girls. Find the relative frequency of each gender.

Given the Frequency of boys = 55

Frequency of girls = 35

Sum of frequency of both genders = Frequency of boys + Frequency of girls

= 55 + 35

= 90

Relative Frequency of boys = Frequency of boys/ Sum of frequency of both genders

= 55/90

Relative Frequency of girls = Frequency of girls/ Sum of frequency of both genders

= 35/90

Question 3: Anu has 6 candies, 8 chocolates, 4 toffees, and 8 lollipops. Find the relative frequency of each.

Given Frequency of candies = 6

Frequency of chocolates = 8

Frequency of toffees = 4

Frequency of lollipops = 8

Sum of frequency = Frequency of candies + Frequency of chocolates + Frequency of toffees + lollipops

= 6 + 8 + 4 + 8

= 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

Question 4: A player has 7 gold medals, 4 silver medals, and 9 bronze medals. Find the relative frequency of each medal.

Given the Frequency of gold medals = 7

Frequency of silver medals = 4

Frequency of bronze medals = 9

Sum of frequency of all the medals = Frequency of gold medals + Frequency of silver medals + Frequency of bronze medals

= 7 + 4 + 9

= 20

Relative Frequency of gold medals = Frequency of gold medals/ Sum of frequency of all the medals

= 7/20

Relative Frequency of silver medals = Frequency of silver medals/ Sum of frequency of all the medals

= 4/20

Relative Frequency of bronze medals = Frequency of bronze medals/ Sum of frequency of all the medals

= 9/20

Question 5: A class has 5 boys scoring 100 marks and 4 girls scoring 100 marks. Find the relative frequency of each gender that has scored 100 marks.

Given the Frequency of boys scoring 100 marks= 5

Frequency of girls scoring 100 marks= 4

Sum of frequency of both genders scoring 100 marks

= Frequency of boys scoring 100 marks + Frequency of girls scoring 100 marks

= 5 + 4

= 9

Relative Frequency of boys scoring 100 marks = Frequency of boys scoring 100 marks/ Sum of frequency of both genders scoring 100 marks

= 5/9

Relative Frequency of girls scoring 100 marks = Frequency of girls scoring 100 marks/ Sum of frequency of both genders scoring 100 marks

= 4/9

My Personal Notes arrow_drop_up
Recommended Articles
Page :