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Unit-27: Measures of Central Tendency: Mean, Median, Mode

of the entire series, becomes easy for us. In this meaning, average becomes a medium for briefing the note
large numbers.

utility and objectives of averages

In social research, in description, analysis and in finding inference of data use of averages is notable.
from the below mentioned description, utility and objective of averages will become further clear.
1. the foremost objective of averages is to summarize the complex series and numbers. through
average, a summarized form can be provided to the spread facts of various qualities. Nothing
can be known from a heap of numbers but average being one number only, manifests the
central point or value of the heaps of numbers.
2. one more objective or utility of averages is that through it, comparison of data becomes very
easy. Comparison of series with many numbers is very difficult but if they are provided the
form of one number then the job of comparison itself becomes easy. Actually averages are
taken out with an objective to compare complex and large numbers only.
3. As per Ghosh and Chaudhary have written that a brief diagram of a large group is presented
so that job of analysis becomes easy for us. the fact is that by presenting a summarized
form of a large group and making the job of comparison and description easy is a notable
objective of average.
4. through averages, presumption is made about the relationship or ratio found between two
or more groups of series of numbers. For scientific analysis or description, knowledge of such
relations or ratios is important. Averages help us in this job. one more utility of objectives
is that they may prove helpful in summarizing our study work. study of collective units of
a community is not possible for us and because of this through sampling-method we collect
the facts related to few units. in order to further summarize these data, we use averages. in
this manner, with the help of sample data averages are helpful in presenting the diagram
of entire groups.
5. One more use of averages is that it helps to brief our study work. It is difficult for us to analyse
the overall units of a population and therefore we collect some related facts from the units
through sampling method. Averages can be used to further brief these facts. in this way with
the help of sample facts averages are useful in presenting the picture of entire population.

Task What is called as statistical average? Describe in detail.

27.3 Types of Averages

Ghosh and Chaudhary have described the following types of averages:
i. Average of Position
1. Mode
2. Median
ii. Mathematical Averages
1. Arithmetic average and mean
2. Geometric mean

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