How to Calculate Mean from Frequency Table (With Examples)


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

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