How to Make a Cumulative Frequency Table

Making a Cumulative Grouped Frequency Table

A cumulative grouped frequency table is a great way to present a lot of data.

Imagine a teacher wanted an easy way to present the test scores of their mathematics class:

Depending on each student's test score, the teacher will assign a grade:

How to Make a Cumulative Grouped Frequency Table

Making a cumulative grouped frequency table is easy.

Question

Construct a cumulative grouped frequency table for the numbers below.

Step-by-Step:

1

Construct a table with four columns:

Before we make a cumulative grouped frequency table, we need to make a grouped frequency table (the first three columns).

Read about how to make a grouped frequency table

2

In the Score column, write the groups of numbers. In our example, we will use the group of test scores assigned to the different grades.

3

Go through the set of numbers in the Question. For each number, see which of the group of numbers it belongs in. Cross it out and put a tally mark in the Tally column, in the row for that group of numbers.

  • The first number is 2. It belongs in the 1 - 5 group. Cross it out and put a tally mark in the Tally column in the 1 - 5 row.

  • The second number is 10. It belongs in the 6 - 10 group. Cross it out and put a tally mark in the Tally column in the 6 - 10 row.

  • Continue until all numbers have been crossed out and had tally marks placed in the Tally column.

4

For each row, count the tally marks. Write the number of tally marks in the Frequency column.

5

Complete the Cumulative frequency column. The cumulative frequency in each row is found by adding all the entries in the Frequency column from the top row to that row.

  • The cumulative frequency in the first row is equal to the frequency:

  • The cumulative frequency in the second row is found by adding the frequency in this row to all the frequencies above:

    Note: It is also found by adding the frequency in this row to the cumulative frequency above.

  • The cumulative frequency in the third row is found by adding the frequency in this row to all the frequencies above:

    Note: It is also found by adding the frequency in this row to the cumulative frequency above.

Answer:

The cumulative grouped frequency table is complete when all the cumulative frequencies have been entered:

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The slider below gives another example of making a cumulative grouped frequency table.

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See Also

What is a cumulative grouped frequency table? What is a grouped frequency table? Making a grouped frequency table Making a frequency table