Cumulative Frequency Distribution Table
A Cumulative Frequency Table helps organize and summarize data by showing how many observations are below or equal to specific values. It includes a running total of frequencies as you go through the data, making it easier to analyze patterns and understand the distribution of values.
Example: Given the marks of 20 students in maths exam as: 68, 72, 75, 78, 80, 82, 85, 88, 90, 92, 68, 72, 75, 78, 80, 82, 85, 88, 90, 92
Solution:
Step 1: Arrange the given data into ascending order as: 68, 68, 72, 72, 75, 75, 78, 78, 80, 80, 82, 82, 85, 85, 88, 88, 90, 90, 92, 92
Step 2: Create a frequency distribution table
Marks
Frequency
68
2
72
2
75
2
78
2
80
2
82
2
85
2
88
2
90
2
92
2
Step 3: Add the adjacent frequency in the cumulative frequency column
Marks
Frequency
Cumulative Frequency
68
2
2
72
2
4
75
2
6
78
2
8
80
2
10
82
2
12
85
2
14
88
2
16
90
2
18
92
2
20
The Cumulative Frequency column is the running total of frequencies. For example, at the score of 82, the cumulative frequency is 12, meaning 12 students scored 82 or below.
Step 4: Interpretation
- 10 students scored 80 or below.
- 16 students scored 88 or below.
All 20 students took the exam, so the cumulative frequency at the highest score (92) is 20.
Frequency Distribution Table
Frequency Distribution Table in statistics is a table that contains all the values and frequencies of different objects. It is an efficient way to record and retrieve a big chunk of data. It helps in easy visualization of data based on its frequency which basically means how many times a particular data appears.
In this article, we will learn about, Frequency Distribution Table Definition, Examples, How to Make Frequency Distribution Table, and others in detail.
Table of Content
- What is Frequency Distribution Table?
- How to Create a Frequency Distribution Table
- Frequency Distribution Table in Statistics
- Cumulative Frequency Distribution Table
- What is Grouped Data?
- What is Ungrouped Data?