Monday, 23 April 2012

Mean

In this blog we are going to discuss about the Mean that is a part of statistics .Sometimes in Statistics Mean is explained by doing the average of the numbers that are given in the data set. If we denote the average as an expression is define as the sum of all the numbers that are divided by the total number of data in data set. If there is number in data set are a1 , a2 , a3 , a4 then
The average of these number = (a1 + a2 + a3 + a4) / 4 .
According to CBSE board syllabus basically there are three types of mean that are defined as follows:
(I) arithmetic mean
(II) Geometric mean and
(II) Harmonic mean
Arithmetic mean is one of the type of mean that is normally is called as the average.
We can define it by an example as if there is a range of data in the data set as 40, 20, 35, 27, 13 then the arithmetic mean or average of the data of the data set is define as
Average = (40 + 20 + 35 + 27 +13) / 5 = 155 / 5 = 31.
In other type of mean , geometric mean is define the average of numbers not just by adding that data but also multiplying these numbers .These types of mean (for more on mean visit here) are define in calculation of growth rates , birth rates etc .
It is define through the expression as geometric mean g = (∏n i=0 g i1 / n.
We can define it by an example as if number in the data set then g = (2 .3.4 .5) 1 / 4 = (120)1/ 4.
We use the harmonic mean when we want to define some relation in the units of a set of numbers.


In upcoming posts we will discuss about Applications of Probability and Statistics and Geometry and Measurement. Visit our website for information on How to Make a Bar Graph

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