You can find the median value of a frequency table by using the following steps:

**Step 1:** Arrange all of the individual values from smallest to largest.

**Step 2:** Identify the value directly in the middle of the ordered list.

- If there are an odd number of values, the median is the value directly in the middle.
- If there are an even number of values, the median is the average of the middle two values.

The following examples show how to find the median value of a frequency table in practice.

**Example 1: Median from Frequency Table (Odd Number of Values)**

The following frequency table shows the total number of wins for 17 soccer teams in a certain league:

We can use the following steps to find the median value in this frequency table:

**Step 1:** Arrange all of the individual values from smallest to largest.

Values: 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 6, 6

**Step 2:** Identify the value directly in the middle of the ordered list.

Values: 0, 0, 1, 1, 1, 2, 2, 2, **2**, 3, 4, 4, 5, 5, 5, 6, 6

The median value is **2**.

**Example 2: Median from Frequency Table (Even Number of Values)**

The following frequency table shows the household size of 20 different households in a particular area:

We can use the following steps to find the median value in this frequency table:

**Step 1:** Arrange all of the individual values from smallest to largest.

Values: 1, 1, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8

**Step 2:** Identify the value directly in the middle of the ordered list.

Values: 1, 1, 2, 3, 3, 3, 3, 3, 4, **4**, **4**, 4, 4, 5, 5, 5, 6, 6, 7, 8

There are two values located directly in the middle: 4 and 4.

Thus, the median value is the average of these two values: (4 + 4) / 2 = **4**.

**Additional Resources**

How to Calculate Mean from Frequency Table

How to Calculate Mode from Frequency Table

How to Estimate the Mean and Median of Histograms

When to Use Mean vs. Median