You can calculate the mean of a frequency table by using the following formula:

**Mean = Σfx / Σf**

where:

**Σ**: A fancy symbol that means “sum”**f**: The frequency of a particular value**x**: The value in the frequency table

The following examples show how to use this formula in practice.

**Example 1: Mean Number of Wins**

The following frequency table shows the total number of wins for 30 soccer teams in a certain league:

We can use the following formula to calculate the mean number of wins:

- Mean = (0*2 + 1*3 + 2*7 + 3*8 + 4*7 + 5*3) / (2 + 3 + 7 + 8 + 7 + 3)
- Mean = (0 + 3 + 14 + 24 + 28 + 15) / (30)
- Mean = (84) / (30)
- Mean =
**2.8**

The mean number of wins is **2.8**.

**Example 2: Mean Number of Pets**

The following frequency table shows the total number of pets owned by 20 different families in a certain neighborhood:

We can use the following formula to calculate the mean number of pets owned:

- Mean = (0*2 + 1*10 + 2*4 + 3*3 + 4*1) / (2 + 10 + 4 + 3 + 1)
- Mean = (0 + 10 + 8 + 9 + 4) / (20)
- Mean = (31) / (20)
- Mean =
**1.55**

The mean number of pets owned is **1.55**.

**Example 3: Mean Household Size**

The following frequency table shows the household size of 40 different households in a particular area:

We can use the following formula to calculate the mean household size:

- Mean = (1*2 + 2*4 + 3*14 + 4*13 + 5*4 + 6*2 + 7*1) / (2 + 4 + 14 + 13 + 4 + 2+1)
- Mean = (2 + 8 + 42 + 52 + 20 + 12 + 7) / (40)
- Mean = (143) / (40)
- Mean =
**3.575**

The mean household size is **3.575**.

**Additional Resources**

How to Calculate Median from Frequency Table

How to Calculate Mode from Frequency Table

How to Find Mean, Median, & Mode in Stem-and-Leaf Plots

How to Estimate the Mean and Median of Histograms

When to Use Mean vs. Median