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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..

  Formula:

Grouped Data Arithmetic Mean :
Arithmetic Mean = ΣfX/Σf
where
              X = Individual score
              f = Frequency



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.


X ValueFrequency(f)ΣfX
121 * 2 = 2
232 * 3 = 6
323 * 2 = 6


  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.



Related Calculator:
>> Grouped Data Arithmetic Mean Calculator.


This tutorial will help you dynamically to find the Grouped data Arithmetic Mean problems.