Cumulative Frequency Table


In these lessons, we will learn how to construct Cumulative Frequency Tables for Ungrouped data and Grouped data.




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Related Pages
Frequency Table
Cumulative Frequency Graph
More Statistics Lessons

Cumulative Frequency Table (Ungrouped Data)

The following table gives the frequency distribution of marks obtained by 28 students in a particular test.

Marks 30 31 32 33
Frequency 5 7 10 6

Construct a cumulative frequency table for the given data.

Solution:

Marks Frequency Marks less than Cumulative Frequency
30 5 30 5
31 7 31 5 + 7 =12
32 10 32 12 + 10 =22
33 6 33 22 + 6 =28

Statistics - How To Make A Cumulative Frequency Chart (Ungrouped Data)

This example shows how to make a cumulative frequency chart. Remember that in these charts, we simply want to keep track of the grand total of the data.

Data Analysis Cumulative Frequency Tables

What is Data? What is Data Analysis? What is Evaluation? What is Frequency Distribution Table? What is Cumulative Frequency? What is Cumulative Frequency Table?




Cumulative Frequency Table (Grouped data)

The following table gives the frequency distribution of mass of 40 objects.

Mass (g) 10–14 15–19 20–24 25–29 30–34 35–39 40–44
Frequency 3 4 10 12 6 3 2

Construct a cumulative frequency table for the given data.

Solution:

Mass Upper class boundaries Frequency Mass less than Cumulative Frequency
10 – 14 14.5 3 14.5 3
15 – 19 19.5 4 19.5 3 + 4 = 7
20 – 24 24.5 10 24.5 7 + 10 = 17
25 – 29 29.5 12 29.5 17 + 12 = 29
30 – 34 34.5 6 34.5 29 + 6 = 35
35 – 39 39.5 3 39.5 35 + 3 = 38
40 – 44 44.5 2 44.5 38 + 2 = 40

The following video how to construct the cumulative frequency table and cumulative frequency graph.

Completing A Cumulative Frequency Table From A Grouped Frequency Table



Cumulative Frequency - Finding the Median and Interquartile Range for Grouped Data

Creating A Grouped Frequency Table To Find Mean And Plot A Cumulative Frequency Graph To Find The Median.

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