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Pre - Induction Programme


                          By
                 Prof. Manisha Phate
YOUR FEEL
SCARED
In our day to day life statistics conveys a variety
of meanings to people. We find statistics in
newspapers, journals, books, various reports,
speeches, classroom lectures etc.
Example:
There are 940 females per 1000 males in india.
 For population UP in India stands at rank first.
Maharashtra stands at second position
having 9.29% of total population.
INTRODUCTION
   Density of population in Maharashtra is 365
    per km square. And the sex ratio is 925
    females per 1000 males.
   The literacy rate in Maharashtra is 82.91%.
    Most literate state in india is Kerala with
    93.9%.
   Percentage of students whose name is
    starting with letter A, B, D, Y,
   The students who scored in
      between 50 to 70.
ORIGIN AND GROWTH
                          ORIGIN
    It is not a new discipline but as old as human society
     itself. It has been in use since the existence of life on
     earth.
    The word statistics comes from the Italian word statista
     (meaning statesman) or the German word statistik
     which means a political state.
    It was first used by Prof.Gottfried Achenwall (1719-
     1772)
    Achenwall first defined the statistics as the political
     science of several countries.
    The word statistics appeared first time in a famous book
     – Elements of Universal Erudiction Science of statistics
     is originated from two main sources
1.    Government Records
2.    Mathemetics
Govt. Records
 During good old days it is regarded as the science of
  statecraft. Because it was byproduct of the
  administrative activity of the state.
 This is earliest foundation because all cultures with a
  recorded history had recorded statistics and the
  recording as far as is known was done by govt. agents
  for governmental purpose.
 It has been in traditional function of govt. to keep
  records of population, births, deaths, taxes, crop yields
  etc.
 As the data was collected for governmental purposes
  statistics was then described as the science of kings or
  the science of statecraft.
Statistics is said to be a branch of applied
mathematics.
The present body of statistical methods
particularly those concerned with drawing
inferences about population from sample is based
on the mathematic theories.
Numbers play an important role in statistics and
here the study of statistics involves methods of
refining numerical and non numerical information
in to useful forms.
There  has been a phenomenal development
in the use of statistics in several fields.
Now a days it is a most important tool for
taking decisions in case of uncertainty.
Two main factors which are responsible
the development of statistics
1. Increased demand for statistics
2. Decreasing cost of statistics
In present, considerable development has taken place in
the field of business, commerce, governmental activities
and science. Statistics helps in formulating suitable
policies and as such its need is increasingly being felt in
all the spheres. Such as……….
a) Government: As there is enlargement in Govt.
     functions
b) Sciences: Tremendous advancement in the existing
     sciences & also development of new branches.
c) Research: Extensive research work is now being
     undertaken by many people.
d) Time & Cost: Less time & cost to collect and process
     the data with the help of electronic machines such as
     calculators, computers etc.
Decreasing Cost of Statistics

Following factors helps to decrease the
  cost
 Development of statistical theories: eg.
  Sampling Techniques
 Use of electronic machines: eg.
  Computer calculator
 Tools for Analysis: eg. SPSS
STATISTICS - DEFINITION

There have been many definitions of the term
   statistics:
1. Webster: The classified facts representing the
    conditions of the people in a state. Especially
    those facts which can be stated in numbers
    or in tables of numbers or in any tabular
    classified arrangement.
2. Yule & Kendall: By statistics we mean
    quantitative data affected to a marked extent
    by multiplicity of causes.
STATISTICS - DEFINITION
3   . Horace secrist: Statistics means
     aggregates of facts affected to a
     marked extent by multiplicity of
     causes ,numerically
     expressed, estimated according to
     reasonable standards of
     accuracy, collected in a systematic
     manner for a predetermined purpose
     and placed in relation to each other.


;
Above definition states certain charactristics which
numerical data must possess in order that they may
be called statistics.
Aggregates of facts:
Affected to a marked extent by multiplicity of
causes
Numerically expressed
Enumerated or estimated according to resonable
standards of accuracy
Collected in a systematic manner
Collected for pre-detemined purpose
Should be placed in Relation to each other.
STATISTICS - DEFINITION
Croxton and cowden : Statistics may be
  defined as the collection, presentation
  analysis and interpretation of numerical
  data.
Very simple and precise definition and talks
  about four stages of Statistics.
 Collection
 Presentation
 Analysis
 Interpretation
Frequently used statistical terms


               Data


            Statistical
   Sample                 Variable
              Terms

             Population
Data
 Data: This is simply a group of results of any
  scientific measurement.
Eg. Collection of numbers representing height of
  students in a class, Marks in a class.
Variable
 This is a characteristic that can assume different
  values and is usually represented by x.
 Eg. Age of students, sales figure of a commodity.
  Etc.
Population
 A population or universe is the totality
  of items or things under consideration.
  It is the collection of all values of the
  variable under study.
                      OR
 The complete collection of all elements
  (scores, people, measurements, and so
  on) to be studied. The collection is
  complete in the sense that it includes all
  subjects to be studied.
Sample
 It is the portion of population or
  universe under consideration. And
  sampling is the process of selecting
  sample.
                    OR
 A sub-collection of elements drawn
  from a population
STATISTICS: SCIENCE & ART
                Its a subject of Debate.
Science: systematized body of knowledge. It studies
  cause and effect relationship and attempts to
  make generalizations in the form of scientific
  principles or laws. It describes objectivity and
  avoids vague judgments. Science is Knowledge.
Art: refers to the skill of handling facts so as to
  achieve a given objective. Having concern with
  ways & means of presenting and handling data
  making inferences logically and drawing relevant
  conclusions. Art is Action.
Statistics: not a body of knowledge but a body of
  methods for obtaining knowledge.
Functions of Statistics

   Presents facts in a definite form
   Simplifies mass of figures
   Facilitates comparison
   Helps in formulating & testing
    hypothesis
   Helps in prediction
   Helps in formulation of suitable
    policies.
Definiteness
   To present general statements in a precise and
    definite form. As numerical statements are
    more convincing.

   Example: The production of wheat in India in
    2006-07 was higher than that in 2005-06.

   “The production of wheat for the year 2006-07
    was 72.5 million tonnes compared to 69.4
    million tonnes for 2005-06.”
Condensation
   Helps in condensing mass of data in to
    few significant figures. Statistical
    methods present a meaningful overall
    information from mass of data.

   Example: Income position of people of
    India from a record of individual
    incomes of the entire population. (Per
    capita Income)
Comparison
 Unless figures are compared with
  others of same kind they are often
  devoid of any meaning.
 Example: The production of rice in
  2009-10 is likely to be 100 million
  tonnes as compared to 96 million
  tonnes in 2008-09.
Formulation & Testing
Hypothesis
 Statistical methods are helpful in
  formulating and testing hypothesis & to
  develop new theories.
 Example: Hypothesis like whether
  chloromycetin is effective in curing typhoid.
   Whether students have benefitted from the
  extra coaching.etc.
 Technique: Chi-square Test
Prediction
 Plans & policies of organisations are
  invaribly formulated well in advance of
  the time of their implementation.
  Statistical methods provide helpful
  means for forecasting future events.
 Example: How much cement should be
  produced by a cement company in
  coming year.
 Technique: Simulation
Formulation of Policies
 Statistics provide the basic material for
  framing suitable policies.
 Example: Data about population- its
  distribution by age & sex, rate &
  growth of it. Migration, area etc. helps
  in determining the future needs such
  as
  food, clothing, housing, education, recr
  eational
  facilities, water, electricity, transportati
  on, system etc.
Applications of Statistics
Statistics & the State
   Since ancient times the ruling kings chiefs
    have relied on statistics in framing suitable
    military and fiscal policies. Eg. crimes,
    military strength, population, taxes etc.

   Today all ministers and departments of
    govt. (Finance, Transport, Defence,
    Railway, Food Commerce, Post &
    Telegraph, or Agriculture, etc.) depend
    heavily on factual data for their efficient
    functioning.
Statistics & Business
 With growing size & ever increasing
  competition the problems of the business
  are becoming complex & they are using
  more & more statistics in decision making.
 Business activities can broadly grouped in
  to
  Production, Purchase, Finance, Personnel,
  Accounting, Market & Product
  Research, Quality Control.
 Each & every area is rely on statistics for
  their effective functioning.
Statistics & Economics
 In the year 1890 Prof.Alfred Marshall the
  renowned economist observed that “ Statistics are
  the straw out of which I, Like every other
  economist, have to make bricks.’’
 Economics is concerned with Production,
  Distribution, Consumption, saving & investment
  of income.
 Example: What to produce, how to produce, and
  for whom to produce – to answer these questions
  we need a lot of statistical data in absence of
  which it is not possible to arrive at correct
  decision.
 Statistics of production help in adjusting the
  supply to demand.
Statistics & Economics
   Statistics of consumption enable us to find out the
    way in which people of different strata spend there
    income.
   To solve the problems of rising prices, growing
    population, unemployment, poverty etc. one has to
    rely on statistics.
   It plays role not only in formulating of economic
    policies but also evaluating their effects.
   We use statistics in Measurement of Gross national
    product, Input output analysis, money &
    banking, Consumer finance, Public Finance, business
    cycles,Competition, oligopoly &
    monopoly, comparison of market prices, cost & profit
    of individual firms, prices & Population etc.
Statistics & Physical Sciences

                      Astronomy




        Metrology                 Geology




                      Physical
                      Sciences



        Engineering               Physics



                      Chemistry
Statistics & Natural Sciences
   Statistical techniques are proved very useful in
    the study of natural sciences. Like: Biology,
    medicine, zoology, botany etc.
   Example: In diagnosing the correct disease the
    doctor has to rely on data like body
    temperature, pulse rate, BP etc.
   Similarly in judging the efficacy of a particular
    drug for curing a disease experiments have to
    be conducted and the success or failure would
    depend upon the number of people who are
    cured after using a drug.
Statistics And Research
   Most of the advancement in knowledge has taken
    place because of experiments conducted with the
    help of Statistical methods.
   Example: Experiments about crop yields &
    different types of fertilizers and different types of
    soils or the growth of animals under different diets
    and environments are designed and analysed with
    the help of statistical methods.
   Statistics affect research medicine & public health.
   We can not complete our research work without
    statistics.
Limitations of Statistics
   Statistics does not deal with individual
    measurements.
   Statistics only deals with Quantitative
    Characteristics.
   Statistical results are true only on an
    average.
   Statistics is only one of the methods of
    studying a problem.
   Statistics can be misused.

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Overview of statistics

  • 1. Pre - Induction Programme By Prof. Manisha Phate
  • 3.
  • 4.
  • 5. In our day to day life statistics conveys a variety of meanings to people. We find statistics in newspapers, journals, books, various reports, speeches, classroom lectures etc. Example: There are 940 females per 1000 males in india.  For population UP in India stands at rank first. Maharashtra stands at second position having 9.29% of total population.
  • 6. INTRODUCTION  Density of population in Maharashtra is 365 per km square. And the sex ratio is 925 females per 1000 males.  The literacy rate in Maharashtra is 82.91%.  Most literate state in india is Kerala with 93.9%.  Percentage of students whose name is starting with letter A, B, D, Y,  The students who scored in between 50 to 70.
  • 7. ORIGIN AND GROWTH ORIGIN  It is not a new discipline but as old as human society itself. It has been in use since the existence of life on earth.  The word statistics comes from the Italian word statista (meaning statesman) or the German word statistik which means a political state.  It was first used by Prof.Gottfried Achenwall (1719- 1772)  Achenwall first defined the statistics as the political science of several countries.  The word statistics appeared first time in a famous book – Elements of Universal Erudiction Science of statistics is originated from two main sources 1. Government Records 2. Mathemetics
  • 8. Govt. Records  During good old days it is regarded as the science of statecraft. Because it was byproduct of the administrative activity of the state.  This is earliest foundation because all cultures with a recorded history had recorded statistics and the recording as far as is known was done by govt. agents for governmental purpose.  It has been in traditional function of govt. to keep records of population, births, deaths, taxes, crop yields etc.  As the data was collected for governmental purposes statistics was then described as the science of kings or the science of statecraft.
  • 9. Statistics is said to be a branch of applied mathematics. The present body of statistical methods particularly those concerned with drawing inferences about population from sample is based on the mathematic theories. Numbers play an important role in statistics and here the study of statistics involves methods of refining numerical and non numerical information in to useful forms.
  • 10. There has been a phenomenal development in the use of statistics in several fields. Now a days it is a most important tool for taking decisions in case of uncertainty. Two main factors which are responsible the development of statistics 1. Increased demand for statistics 2. Decreasing cost of statistics
  • 11. In present, considerable development has taken place in the field of business, commerce, governmental activities and science. Statistics helps in formulating suitable policies and as such its need is increasingly being felt in all the spheres. Such as………. a) Government: As there is enlargement in Govt. functions b) Sciences: Tremendous advancement in the existing sciences & also development of new branches. c) Research: Extensive research work is now being undertaken by many people. d) Time & Cost: Less time & cost to collect and process the data with the help of electronic machines such as calculators, computers etc.
  • 12. Decreasing Cost of Statistics Following factors helps to decrease the cost  Development of statistical theories: eg. Sampling Techniques  Use of electronic machines: eg. Computer calculator  Tools for Analysis: eg. SPSS
  • 13. STATISTICS - DEFINITION There have been many definitions of the term statistics: 1. Webster: The classified facts representing the conditions of the people in a state. Especially those facts which can be stated in numbers or in tables of numbers or in any tabular classified arrangement. 2. Yule & Kendall: By statistics we mean quantitative data affected to a marked extent by multiplicity of causes.
  • 14. STATISTICS - DEFINITION 3 . Horace secrist: Statistics means aggregates of facts affected to a marked extent by multiplicity of causes ,numerically expressed, estimated according to reasonable standards of accuracy, collected in a systematic manner for a predetermined purpose and placed in relation to each other. ;
  • 15. Above definition states certain charactristics which numerical data must possess in order that they may be called statistics. Aggregates of facts: Affected to a marked extent by multiplicity of causes Numerically expressed Enumerated or estimated according to resonable standards of accuracy Collected in a systematic manner Collected for pre-detemined purpose Should be placed in Relation to each other.
  • 16. STATISTICS - DEFINITION Croxton and cowden : Statistics may be defined as the collection, presentation analysis and interpretation of numerical data. Very simple and precise definition and talks about four stages of Statistics.  Collection  Presentation  Analysis  Interpretation
  • 17. Frequently used statistical terms Data Statistical Sample Variable Terms Population
  • 18. Data  Data: This is simply a group of results of any scientific measurement. Eg. Collection of numbers representing height of students in a class, Marks in a class.
  • 19. Variable  This is a characteristic that can assume different values and is usually represented by x.  Eg. Age of students, sales figure of a commodity. Etc.
  • 20. Population  A population or universe is the totality of items or things under consideration. It is the collection of all values of the variable under study. OR  The complete collection of all elements (scores, people, measurements, and so on) to be studied. The collection is complete in the sense that it includes all subjects to be studied.
  • 21. Sample  It is the portion of population or universe under consideration. And sampling is the process of selecting sample. OR  A sub-collection of elements drawn from a population
  • 22. STATISTICS: SCIENCE & ART Its a subject of Debate. Science: systematized body of knowledge. It studies cause and effect relationship and attempts to make generalizations in the form of scientific principles or laws. It describes objectivity and avoids vague judgments. Science is Knowledge. Art: refers to the skill of handling facts so as to achieve a given objective. Having concern with ways & means of presenting and handling data making inferences logically and drawing relevant conclusions. Art is Action. Statistics: not a body of knowledge but a body of methods for obtaining knowledge.
  • 23. Functions of Statistics  Presents facts in a definite form  Simplifies mass of figures  Facilitates comparison  Helps in formulating & testing hypothesis  Helps in prediction  Helps in formulation of suitable policies.
  • 24. Definiteness  To present general statements in a precise and definite form. As numerical statements are more convincing.  Example: The production of wheat in India in 2006-07 was higher than that in 2005-06.  “The production of wheat for the year 2006-07 was 72.5 million tonnes compared to 69.4 million tonnes for 2005-06.”
  • 25. Condensation  Helps in condensing mass of data in to few significant figures. Statistical methods present a meaningful overall information from mass of data.  Example: Income position of people of India from a record of individual incomes of the entire population. (Per capita Income)
  • 26. Comparison  Unless figures are compared with others of same kind they are often devoid of any meaning.  Example: The production of rice in 2009-10 is likely to be 100 million tonnes as compared to 96 million tonnes in 2008-09.
  • 27. Formulation & Testing Hypothesis  Statistical methods are helpful in formulating and testing hypothesis & to develop new theories.  Example: Hypothesis like whether chloromycetin is effective in curing typhoid. Whether students have benefitted from the extra coaching.etc.  Technique: Chi-square Test
  • 28. Prediction  Plans & policies of organisations are invaribly formulated well in advance of the time of their implementation. Statistical methods provide helpful means for forecasting future events.  Example: How much cement should be produced by a cement company in coming year.  Technique: Simulation
  • 29. Formulation of Policies  Statistics provide the basic material for framing suitable policies.  Example: Data about population- its distribution by age & sex, rate & growth of it. Migration, area etc. helps in determining the future needs such as food, clothing, housing, education, recr eational facilities, water, electricity, transportati on, system etc.
  • 31. Statistics & the State  Since ancient times the ruling kings chiefs have relied on statistics in framing suitable military and fiscal policies. Eg. crimes, military strength, population, taxes etc.  Today all ministers and departments of govt. (Finance, Transport, Defence, Railway, Food Commerce, Post & Telegraph, or Agriculture, etc.) depend heavily on factual data for their efficient functioning.
  • 32. Statistics & Business  With growing size & ever increasing competition the problems of the business are becoming complex & they are using more & more statistics in decision making.  Business activities can broadly grouped in to Production, Purchase, Finance, Personnel, Accounting, Market & Product Research, Quality Control.  Each & every area is rely on statistics for their effective functioning.
  • 33. Statistics & Economics  In the year 1890 Prof.Alfred Marshall the renowned economist observed that “ Statistics are the straw out of which I, Like every other economist, have to make bricks.’’  Economics is concerned with Production, Distribution, Consumption, saving & investment of income.  Example: What to produce, how to produce, and for whom to produce – to answer these questions we need a lot of statistical data in absence of which it is not possible to arrive at correct decision.  Statistics of production help in adjusting the supply to demand.
  • 34. Statistics & Economics  Statistics of consumption enable us to find out the way in which people of different strata spend there income.  To solve the problems of rising prices, growing population, unemployment, poverty etc. one has to rely on statistics.  It plays role not only in formulating of economic policies but also evaluating their effects.  We use statistics in Measurement of Gross national product, Input output analysis, money & banking, Consumer finance, Public Finance, business cycles,Competition, oligopoly & monopoly, comparison of market prices, cost & profit of individual firms, prices & Population etc.
  • 35. Statistics & Physical Sciences Astronomy Metrology Geology Physical Sciences Engineering Physics Chemistry
  • 36. Statistics & Natural Sciences  Statistical techniques are proved very useful in the study of natural sciences. Like: Biology, medicine, zoology, botany etc.  Example: In diagnosing the correct disease the doctor has to rely on data like body temperature, pulse rate, BP etc.  Similarly in judging the efficacy of a particular drug for curing a disease experiments have to be conducted and the success or failure would depend upon the number of people who are cured after using a drug.
  • 37. Statistics And Research  Most of the advancement in knowledge has taken place because of experiments conducted with the help of Statistical methods.  Example: Experiments about crop yields & different types of fertilizers and different types of soils or the growth of animals under different diets and environments are designed and analysed with the help of statistical methods.  Statistics affect research medicine & public health.  We can not complete our research work without statistics.
  • 38. Limitations of Statistics  Statistics does not deal with individual measurements.  Statistics only deals with Quantitative Characteristics.  Statistical results are true only on an average.  Statistics is only one of the methods of studying a problem.  Statistics can be misused.