Arithmetic Mean –
The average of numbers in arithmetic is known as the Arithmetic Mean of these numbers in statistics.
Mean of an Ungrouped Data –
The arithmetic Mean or simply the Mean of ‘e’ observations x₁, x₂, x₃,……………….., xₑ is given by the formulae –
(x₁ + x₂ + x₃ +………………..+ xₑ) ∑xₑ
Mean = ----------------------------- = --------
e e
In above said equation or formulae, symbol ∑ is called sigma stands for the summation of the term. Total number of term is ‘e’.
There are some examples are given below for your better understanding –
Example.1) Calculate the mean of the following numbers 4, 8, 12, 15, 20, 24, 7, 6, 22
Ans.) Sum of the given numbers = (4 + 8 + 12 + 15 + 19 + 24 + 7 + 6 + 22) = 118
Total number of given numbers = 9
117
Mean of the given numbers = ------- = 13
9
So, the required mean number is 13 (Ans.)
Example.2) Calculate the mean of the following numbers 5.5, 7.25, 12.55, 23, 16.75, 21.20, 6.15
Ans.) Sum of the given numbers = (5.5 + 7.25 + 12.55 + 23 + 16.75 + 21.20 + 6.15) = 92.4
Total number of given numbers = 7
92.4
Mean of the given numbers = -------- = 13.14
7
So, the required mean number is 13.14 (Ans.)
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