Grouped Data Arithmetic Mean

 Grouped Data Arithmetic Mean Arithmetic mean is quotient of sum of the given values by the number of the given values Mean of grouped data is calculated by dividing the sum of all observations by the number of observations. Arithmetic Mean () = , Where x = Individual score f = frequency
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Example: Find the mean of the following distribution:
 x 2 4 7 8 13 f 3 8 8 5 6
Solution:
Calculation of arithmetic mean
 x f fx 2 3 6 4 8 32 7 8 56 8 5 40 13 6 78 f = 30 fx = 212

Mean = = = 212/30 = 7.06

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