# Cumulative Frequency Table

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

### 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.

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

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.