INTRODUCTION TO THE STATISTICS
History of the statistics:
Statistics is a very old word. It is from the
English language. The word Statistics comes from three different languages,
Latin Word Status
Italian Word Statista
German Word Statistik
All these words mean “The
political state”. In early ages the word statistics means “The information
useful to the state”.
Observation:
In Statistics observations are the recordings
of information in numerical form. For example height of students, height of
plants, weight of students etc
Data:
Collection of facts and figures is called
data.
Population or Statistical
Population:
Population is defined as “ The collection of
all individuals which posses some common characteristics. For example height of
students, Number of children, Number of fans, etc. The size of population is
denoted by “ N ”.
Sample:
Any part of the population is called sample.
On the basis of sample study we draw conclusions about the population. The size
of sample is denoted by “ n ”.
Parameter:
Any quantity computed from the population is
called parameter. Parameters are constants and usually unknown. For example populations
mean µ,
population variance σ2
are the parameters.
Statistic:
Any quantity computed from the sample is
called statistic. Statistic is variable because it varies from sample to sample.
For example sample mean
, sample variance S2.
Branches of Statistics:
Statistics may be divided into to two
branches:
1.
Descriptive Statistics
2.
Inferential
Statistics
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