# How to Find the Median from a Grouped Frequency Table

## Finding the Median Group from a Grouped Frequency Table

We can find which group in a grouped frequency table is the median.

## How to Find the Median Group from a Grouped Frequency Table

Finding the median group from a grouped frequency table is easy.

### Question

The grouped frequency table below shows the test scores for a class of students.

What group of test scores is the median?

### Step-by-Step:

# 1

Add another column onto the table, labelled **Cumulative Frequency**.

For each row of the table, add the entries in the **Frequency** column up to that row.

# 2

Find the entry in the bottom row of the **Cumulative Frequency** column. In this example, it is 9. (**Check:** You should get the same result if you add up the numbers in the **Frequency** column).

Find the middle number of this number. (See **Finding the Middle Number** in the **Top Tip**).

In this example, there are 9 numbers, so the middle number is the 5^{th}.

# 3

Find the first entry in the **Cumulative Frequency** column where this middle number (5) is first reached.

A cumulative frequency of 5 is first reached in the 2^{nd} row.

# 4

Find the group in the **Score** column of this row. This is the median group.

### Answer:

The median group of the test scores is 6 - 10.