Grouped Data Arithmetic Mean Tutorial

Grouped Data Arithmetic Mean Definition:

Data arising from organising n observed values into a smaller number of disjoint groups of values, and counting the frequency of each group; often presented as a frequency table.

Grouped Data Arithmetic Mean Example:

To find the Arithmetic Mean of 1,2,3,1,2,3,2. The arithmetic mean = 1+2+3+1+2+3+2/7 = 14/7 = 2 In this case there are two 1's, three 2's and two 3's. The number of times each number occurs is called its frequency. This can be clearly given in a table as below.

Step 1:

Find Σf. Σf = 7

Step 2:

Now, find ΣfX. ΣfX = ((1*2)+(2*3)+(3*2)) = 14

Step 3:

Now, Substitute in the above formula given Arithmetic mean = ΣfX/Σf = 14/7 = 2 The above example will lead you to calculate the Grouped data Arithmetic Mean manually.