Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

Define cumulative frequency distribution.

Answer
VerifiedVerified
483.6k+ views
like imagedislike image
Hint:
Here we have to define the term, cumulative frequency distribution. The frequency distribution is an overview or a representation of all distinct values corresponding to some variable and the number of times they occur. It represents the frequency within the given class interval or the number of observations occur within the given class interval.

Complete step by step solution:
A cumulative frequency distribution is a type of frequency distribution which represents the sum of a frequency of a class and all classes below it. The cumulative frequency distribution is very helpful in determining the frequency up to a certain threshold. We will now draw the frequency distribution table with appropriate data and we will find the cumulative frequency.
The following table is a frequency distribution of 20 objects.

Mass (g)10-1415-1920-2425-29
frequency5429


We will find the cumulative frequency now.
First we will calculate the cumulative frequency for class intervals 1014.
The cumulative frequency of the class interval 1014 is the same as the given frequency as there is no class below it.
Cumulative frequency of class interval 1519 is equal to the sum of frequency of class interval 1014and its own frequency
Therefore,
Cumulative frequency of class interval1519=5+4=9
Similarly,
Cumulative frequency of class interval 2024 is equal to the sum of frequency of class interval 1014, class interval 1519, and its own frequency.
Therefore,
Cumulative frequency of class interval 2024=5+4+2=11
Cumulative frequency of class interval 2529 is equal to the sum of frequency of class interval 2024, class interval 1014, class interval 1519, and its own frequency.
Therefore,

Cumulative frequency of class interval 2529=5+4+2+9=20

Note:
Cumulative frequency of any class is calculated using its corresponding frequency. A cumulative frequency distribution table is drawn after drawing a frequency distribution table. It is used to analyze and understand large amounts of information.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
Select and buy