## 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.

# 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.