Measures Of Central Tendency - CASANSAAR

173 Pages·2011·0.64 MB·English

Measures Of Central
Tendency

Quantitative Aptitude & Business Statistics
Statistics in Plural Sense as
Statistical data.
 Statistics in Plural Sense refers to
numerical data of any phenomena
placed in relation to each other.
 For example ,numerical data relating
to population ,production, price
level, national income, crimes,
literacy ,unemployment ,houses etc.,
 Statistical in Singular Scene as
Statistical method.
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According to Prof.Horace
Secrist:
By Statistics we mean aggregate of
 “
facts affected to marked extend by
multiplicity of causes numerically
expressed, enumerated or estimated
according to reasonable standard of
accuracy ,collected in a systematic
manner for a pre determined
purpose and placed in relation to
each other .”
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Measures of Central Tendency
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Def:Measures of Central Tendency

 A single expression
representing the whole
group,is selected which may
convey a fairly adequate idea
about the whole group.

 This single expression is
known as average.

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
Averages are central part of
distribution and, therefore ,they
are also called measures of
central tendency.

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Types of Measures central
tendency:
There are five types ,namely
1.Arithmetic Mean (A.M)
2.Median
3.Mode
4.Geometric Mean (G.M)
5.Harmonic Mean (H.M)

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Features of a good average
 1.It should be rigidly defined
 2.It should be easy to
understand and easy to
calculate
 3.It should be based on all the
observations of the data
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 4.It should be easily
subjected to further
mathematical calculations
 5.It should be least affected
by fluctuations of sampling

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Arithmetic Mean (A.M)
The most commonly used
measure of central tendency.
When people ask about the
“average" of a group of scores,
they usually are referring to
the mean.

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