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DR.KIRAN MEHTA
SUBMITTED BY:
SINGULAR SENSE
&
PLURAL SENSE
SINGULAR SENSE
“Statistics is the collection, classification, analysis
and presentation of numerical data”
-CROXTON AND COWDEN
PLURAL SENSE
“Statistics are numerical statements of facts in any
department of enquiry placed in relation to each
other” -BOWLEY
Statistics means the various methods adopted for the
collection, analysis and interpretation of the figures.
Further, in singular sense ,The concept of statistics is
described as statistical methods. The Statistical
method is “A Telescope through which we can study
a large terrain that would be accessible to our unaided
Vision”.Thus it may be stated that statistics is a
science of collection, presentation, analysis, and
interpretation of data.
It means a collection of numerical facts. It is in this
sense that the public usually think of statistics as
figures concerned with population or production of
wheat in different years or number of man-hours lost
in specific year. Secondary Statistics eg-
percentages, averages and coefficients derived from
numerical facts, are also included in the term
“Statistics” in this sense.
• Aggregates of Facts: Single height 5’6 or 6’0 is not
statistics but a series relating to the height of a group of
persons is called statistics.
• Affected by multiplicity of causes: Statistics are
affected by large number of factors. Ex: Prices are affected by
conditions of demand, supply, money supply, imports, exports
etc.
• Numerically Expressed: Qualitative expressions like
young, old, good, bad, etc are not recognized. so, a numerical
value like 932 females per 1000 males in India and 1170
females per 1000 males in USSR.
• Collected in a systematic Manner-For Accuracy and
reliability of data, the figures should be collected in a systematic
manner.
• Collected for pre-determined purpose-Data should be
collected with some pre determined purpose. Figures should be
collected with some objective in mind.eg-if we want collect data on
prices, then we must be clear whether we have to collect wholesale or
retail prices.
• Placed In relation to each other-collection of data is done with a
motive to compare. Figures collected should be comparable Eg-It does
not make any sense if we compare height of a person and rent he pays
for his accommodation.
• Collection of Data- It is the first step in statistical enquiry.
The technique depends upon the objective of the study. They
should be collected carefully so as to fulfill the basic objective
of the purposed study.
• Organization of Data- After collection, the data are
organised in a proper form which involves editing(removing
errors),classification(arranging) and tabulation(columns and
rows).
• Presentation of Data-Now the data is presented in a suitable
manner- either by diagrams or graphs.
• Analysis of Data- Analysis follows the presentation of data.
simple mathematical techniques are applied in analysis. These
include central tendency, measures of dispersion, correlation and
regression etc. The main purpose of analysis is to draw some
meaningful conclusions.
•Interpretation- It is the last step in the statistical methodology. To
derive meaning from analysed data is called interpretation of data. It
involves statistical thinking, skill and experience. It provides final
conclusions.
SUBJECT –MATTER OF STATISTICS
NATURE OF STATISTICS
Descriptive Statistics:
It deals with methods which help in estimating the characteristics of
a population or making decisions concerning a population on the
basis of the sample results. Sample and population are the two
relative terms. A Population is treated as universe and a sample is
fraction or segment of the universe.
It means to describe the data and consists of the methods and
techniques used in the collection, organisation, presentation
and analysis of data in order to describe the various features
and characteristics of such data. These can either be graphical
or computational. In this, nothing can be inferred from the data
nor can decision be made or conclusion drawn.
The nature of statistics is to find out whether it
is a science or Art. As a science, Statistics
studies numerical data in a systematic manner
and as an art, it makes use of the data to solve
the problems of real life.
 Expression of Facts in Numbers
 Simple Presentation
 Enlarges Individual Knowledge and Experience
 It Compares Facts
 It Facilitates Policy Formulation
 It Helps Other Sciences in Testing their Laws
 It Establishes Relationship between Facts- Statistics also
establishes relationship between two or more than two facts.
 Enlarges individual Knowledge & Experience.
 Administrators
 Economist
 Buisness,Industry &Agriculture
 Politicians
 Social Reformer
 Science & Research
 Insurance Companies
 Education
 Study of Numerical facts only.
 Study of Aggregates only.
 Not the only Method.
 Homogeneity of Data.
 Results are true only on an Average.
 Without reference result may prove wrong.
 Can be Used only by Experts.
 Misuse of Statistics is possible.
Introduction to statistics

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Introduction to statistics

  • 2.
  • 4. SINGULAR SENSE “Statistics is the collection, classification, analysis and presentation of numerical data” -CROXTON AND COWDEN PLURAL SENSE “Statistics are numerical statements of facts in any department of enquiry placed in relation to each other” -BOWLEY
  • 5. Statistics means the various methods adopted for the collection, analysis and interpretation of the figures. Further, in singular sense ,The concept of statistics is described as statistical methods. The Statistical method is “A Telescope through which we can study a large terrain that would be accessible to our unaided Vision”.Thus it may be stated that statistics is a science of collection, presentation, analysis, and interpretation of data.
  • 6. It means a collection of numerical facts. It is in this sense that the public usually think of statistics as figures concerned with population or production of wheat in different years or number of man-hours lost in specific year. Secondary Statistics eg- percentages, averages and coefficients derived from numerical facts, are also included in the term “Statistics” in this sense.
  • 7. • Aggregates of Facts: Single height 5’6 or 6’0 is not statistics but a series relating to the height of a group of persons is called statistics. • Affected by multiplicity of causes: Statistics are affected by large number of factors. Ex: Prices are affected by conditions of demand, supply, money supply, imports, exports etc. • Numerically Expressed: Qualitative expressions like young, old, good, bad, etc are not recognized. so, a numerical value like 932 females per 1000 males in India and 1170 females per 1000 males in USSR.
  • 8. • Collected in a systematic Manner-For Accuracy and reliability of data, the figures should be collected in a systematic manner. • Collected for pre-determined purpose-Data should be collected with some pre determined purpose. Figures should be collected with some objective in mind.eg-if we want collect data on prices, then we must be clear whether we have to collect wholesale or retail prices. • Placed In relation to each other-collection of data is done with a motive to compare. Figures collected should be comparable Eg-It does not make any sense if we compare height of a person and rent he pays for his accommodation.
  • 9. • Collection of Data- It is the first step in statistical enquiry. The technique depends upon the objective of the study. They should be collected carefully so as to fulfill the basic objective of the purposed study. • Organization of Data- After collection, the data are organised in a proper form which involves editing(removing errors),classification(arranging) and tabulation(columns and rows).
  • 10. • Presentation of Data-Now the data is presented in a suitable manner- either by diagrams or graphs. • Analysis of Data- Analysis follows the presentation of data. simple mathematical techniques are applied in analysis. These include central tendency, measures of dispersion, correlation and regression etc. The main purpose of analysis is to draw some meaningful conclusions. •Interpretation- It is the last step in the statistical methodology. To derive meaning from analysed data is called interpretation of data. It involves statistical thinking, skill and experience. It provides final conclusions.
  • 11. SUBJECT –MATTER OF STATISTICS NATURE OF STATISTICS
  • 12. Descriptive Statistics: It deals with methods which help in estimating the characteristics of a population or making decisions concerning a population on the basis of the sample results. Sample and population are the two relative terms. A Population is treated as universe and a sample is fraction or segment of the universe.
  • 13. It means to describe the data and consists of the methods and techniques used in the collection, organisation, presentation and analysis of data in order to describe the various features and characteristics of such data. These can either be graphical or computational. In this, nothing can be inferred from the data nor can decision be made or conclusion drawn.
  • 14. The nature of statistics is to find out whether it is a science or Art. As a science, Statistics studies numerical data in a systematic manner and as an art, it makes use of the data to solve the problems of real life.
  • 15.  Expression of Facts in Numbers  Simple Presentation  Enlarges Individual Knowledge and Experience  It Compares Facts  It Facilitates Policy Formulation  It Helps Other Sciences in Testing their Laws  It Establishes Relationship between Facts- Statistics also establishes relationship between two or more than two facts.  Enlarges individual Knowledge & Experience.
  • 16.  Administrators  Economist  Buisness,Industry &Agriculture  Politicians  Social Reformer  Science & Research  Insurance Companies  Education
  • 17.  Study of Numerical facts only.  Study of Aggregates only.  Not the only Method.  Homogeneity of Data.  Results are true only on an Average.  Without reference result may prove wrong.  Can be Used only by Experts.  Misuse of Statistics is possible.