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Basic Statistics
History, Introduction, Basic Terms
 Predicting Disease
85 to 95 percent of lung cancers are smoking related. The statistic
should tell you that almost all lung cancers are related to smoking and
that if you want to have a good chance of avoiding lung cancer, you
shouldn't smoke.
 Weather forecasts These computer models are built using statistics
that compare prior weather conditions with current weather to
predict future weather.
 Medical Studies Scientists must show a statistically valid rate of
effectiveness before any drug can be prescribed. Statistics are behind
every medical study you hear about.
 Quality Testing
Companies make thousands of products every day and each company
must make sure that a good quality item is sold. But a company can't test
each and every item that they ship to you, the consumer. So the
company uses statistics to test just a few, called a sample, of what they
make. If the sample passes quality tests, then the company assumes that
all the items made in the group, called a batch, are good.
 Stock Market
Another topic that you hear a lot about in the news is the stock market.
Stock analysts also use statistical computer models to forecast what is
happening in the economy
Why Statistics?
The purpose of statistics is to develop and
apply methodology for extracting useful
knowledge from both experiments and data.
In addition to its fundamental role in data
analysis, statistical reasoning is also
extremely useful in data collection (design of
experiments and surveys) and also in guiding
proper scientific inference (Fisher, 1990).
Statistics is neither really a science nor a
branch of mathematics. It is perhaps best
considered as a meta-science (or meta-
language) for dealing with data collection,
analysis, and interpretation. As such its scope
is enormous and it provides much guiding
insight in many branches of science, business
History
 The Word statistics have been derived from Latin word
“Status” or the Italian word “Statista”, meaning of these
words is “Political State” or a Government.
 Shakespeare used a word Statist is his drama Hamlet
(1602). In the past, the statistics was used by rulers.
 The application of statistics was very limited but rulers
and kings needed information about lands, agriculture,
commerce, population of their states to assess their
military potential, their wealth, taxation and other
aspects of government.
 Basic forms of statistics have been used since the
beginning of civilization. Early empires often collected
censuses of the population or recorded the trade in
various commodities.
 The Roman Empire was one of the first states to
extensively gather data on the size of the empire's
population, geographical area and wealth.
 During the 20th century several statistician are active in
developing new methods, theories and application of
statistics.
 Now these days the availability of electronics computers
is certainly a major factor in the modern development of
statistics.
History of Statistics
Timeline
Statisticians
Sir William Petty
A 17th-century economist who
used early Statistical methods to
analyze demographic data.
Carl Friedrich Gauss, -
mathematician who developed the
method of least square. 1809
Ronald Fisher
"A genius who almost single-
handedly created the foundations
for modern statistical science",
James Lind
-carried out the first ever clinical
trial in 1747, in an effort to find a
treatment for scurvy.
What is Statistics
Definition
A collection of methods for planning experiments,
obtaining data, and then then organizing,
summarizing, presenting, analyzing, interpreting, and
drawing conclusions based on the data.
.
Collection of data refers to the process of obtaining
information.
Organization of data refers to the ascertaining manner of
presenting the data into tables, graphs, or charts so that
logical and statistical conclusions can be drawn from the
collected measurements.
Analysis of data refers to the process of extracting from
the given data relevant information from which numerical
description can be formulated.
Interpretation of data refers to the task of drawing
conclusions from the analyzed data.
Branches of Statistics
Descriptive
Inferential
Branches OF Statistics
Descriptive Statistics
The branch of statistics that focuses on collecting,
summarizing, and presenting a set of data
 Measure of Central Tendency
 Mean
 Median
 Mode
 The average age of all students that are appeared in
National aptitude test 2015
 The average result of Fbise SSc examination
 If we had the results of 100 pieces of students course
work , we may be interested in the overall performance of
those students
Inferential Statistics
The branch of Statistics that analyzes sample data to draw conclusions about
a population.
 For instance, suppose a survey group wants to know the
prevailing sentiments among Filipino people on a certain
issue. Asking every Filipino to answer a questionnaire
would be impossible. It is expensive, time-consuming, and
impractical. Instead, a small part of the entire population
is scientifically chosen. The data gathered from this group
is used to draw a general opinion of the entire population.
 Suppose a researcher is interested to check the
competence of Universities in Punjab it might, definitely
impossible for him to survey the all universities of Punjab
so he chose some universities technically or scientifically.
The data gather from this group is used to make general
conclusion
Terms Of Statistics
Population
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
Population refers to the totality of all the elements or
persons for which one has an interest at a particular time.
 A researcher may associate a population to the ages of
graduating students,, the I.Q. scores of the employees,
the income of single parent, and so on. The usual notation
for population is N.
 We are the population of Masters of Education Subject
 Student of the Furc university are the population of the
reasearcher who was intrested to know the sentiments of
students
Census
the collection of data from every member of
the population.
Sample
a sub-collection of elements drawn from a
population.
• To be continued
Sample is a part of population determined by sampling
procedures. It is usually denoted by n.
 Sample data must be collected in an appropriate way,
such as through a process of random selection.
 If sample data are not collected in an appropriate way,
the data may be so completely useless that no amount of
statistical operation can be held properly
Social
sciences
Education
Ma
education
Ms
education
psychology
MSc
Psychology
What is Statistics
Parameter
A numerical measurement describing some
characteristic of a population
population
parameter
Statistic
A numerical measurement describing some characteristic
of a sample
Sample
Statistics
variable
It is a specific factor, property, or characteristic of a
population or a sample which differentiates a sample or
group of samples from another group.
 For example, the score obtained from a coeducation class
may differ by gender. Hence, gender is considered
variable. In a catholic congregation, religion cannot be
considered a variable since every member the population
is Catholic.
 Discrete variable is a variable that can be obtained by
counting.
 Examples: the number of chairs and fans in our class
room
 Continues variable is a variable that can be obtained
by measuring objects or attributes.
 Examples: the weight of students, the temperature in a
city over a period of time, the area of classrooms.
Variables are properties of characteristics of people or tings
that vary in characteristics, quality or magnitude from
person to person or object to object
 Demographic characteristics
 Personality traits
 Communication styles or competencies
 constructs
 Independent variable
 Dependent Variable
 Confounding variable
 Mediating Variable
 Continues variable
 Discrete Variable
Data and Variable
 Data are often discussed in terms of variable
 Any characteristics that vary from one member of
population to another
 height, Bp, I Q level
Data
Observations (such as measurements, genders, survey
responses) that have been collected.
Forms Of Data
Quantitative Data
Qualitative Data
Qualitative (or categorical or attribute)
data
It can be separated into different categories that are
distinguished by some nonnumeric characteristics.
Example: genders (male/female) of professional athletes.
yes/no
Quantitative data
Quantitative data refers to numerical information obtained
from counting or measuring that which be manipulated by
any fundamental operation.
Examples:
 Age, I.Q. scores, height, weight, income,Expenses,Gdp
 Weight of all students of nursery class
 No of students in Ma Education class
 How many Applicants applied to FURC in fall 2014?
Working with
Quantitative Data
Quantitative data can further be
distinguished between Discrete
and Continuous types.
Discrete
Data result when the number of possible, values is either
a finite number or a ‘countable’ number of possible
values.
0, 1, 2, 3, . . .
Example: The number of eggs that hens lay
The number of subjects in 2nd semester
Continuous
(numerical) Data result from infinitely many possible
values that correspond to some continuous scale that
covers a range of values without gaps, interruptions, or
jumps.
 Example: The amount of milk that a cow produces; e.g.
2.343115 gallons per day.
What is Statistics
Qualitative:
•He is brown and black
•He has long hair
•He has lots of energy
Quantitative:
•Discrete:
•He has 4 legs
•He has 2 brothers
•Continuous:
•He weighs 25.5 kg
•He is 565 mm tall
Level Of Measurement
Another way to classify data is to use levels of measurement
Nominal Level of Measurement
It characterized by data that consist of names, labels, or
categories only. The data cannot be arranged in an
ordering scheme (such as low to high)
Example: survey responses yes, no, undecided
Ordinal level of measurement
It involves data that may be arranged in some order, but
differences between data values either cannot be
determined or are meaningless
Example: Course grades A, B, C, D, or F
Interval level of measurement
like the ordinal level, with the additional property that
the difference between any two data values is
meaningful. However, there is no natural zero starting
point (where none of the quantity is present)
Example: Years 1000, 2000, 1776
Ratio level of measurement
The interval level modified to include the natural zero
starting point (where zero indicates that none of the
quantity is present). For values at this level, differences
and ratios are meaningful.
Example: Prices of college textbooks ($0 represents no
cost)
Summary -
Levels of Measurement
Nominal - categories only
Ordinal - categories with some order
Interval - differences but no natural starting
point(zero point)
Ratio - differences and a natural starting point( no
zero point)
Questions
 What is the Difference between four level of
Measurement?
 What is parameter and Statistics?
 Which writer first use term Statistics in His drama?
 Name of the staticistcians that are mentioned in
presentation?
What is Statistics
Presented By
Ayesha sarfaraz and Sidra Afzal
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What is Statistics

  • 2.  Predicting Disease 85 to 95 percent of lung cancers are smoking related. The statistic should tell you that almost all lung cancers are related to smoking and that if you want to have a good chance of avoiding lung cancer, you shouldn't smoke.  Weather forecasts These computer models are built using statistics that compare prior weather conditions with current weather to predict future weather.  Medical Studies Scientists must show a statistically valid rate of effectiveness before any drug can be prescribed. Statistics are behind every medical study you hear about.
  • 3.  Quality Testing Companies make thousands of products every day and each company must make sure that a good quality item is sold. But a company can't test each and every item that they ship to you, the consumer. So the company uses statistics to test just a few, called a sample, of what they make. If the sample passes quality tests, then the company assumes that all the items made in the group, called a batch, are good.  Stock Market Another topic that you hear a lot about in the news is the stock market. Stock analysts also use statistical computer models to forecast what is happening in the economy
  • 4. Why Statistics? The purpose of statistics is to develop and apply methodology for extracting useful knowledge from both experiments and data. In addition to its fundamental role in data analysis, statistical reasoning is also extremely useful in data collection (design of experiments and surveys) and also in guiding proper scientific inference (Fisher, 1990).
  • 5. Statistics is neither really a science nor a branch of mathematics. It is perhaps best considered as a meta-science (or meta- language) for dealing with data collection, analysis, and interpretation. As such its scope is enormous and it provides much guiding insight in many branches of science, business
  • 6. History  The Word statistics have been derived from Latin word “Status” or the Italian word “Statista”, meaning of these words is “Political State” or a Government.  Shakespeare used a word Statist is his drama Hamlet (1602). In the past, the statistics was used by rulers.  The application of statistics was very limited but rulers and kings needed information about lands, agriculture, commerce, population of their states to assess their military potential, their wealth, taxation and other aspects of government.
  • 7.  Basic forms of statistics have been used since the beginning of civilization. Early empires often collected censuses of the population or recorded the trade in various commodities.  The Roman Empire was one of the first states to extensively gather data on the size of the empire's population, geographical area and wealth.
  • 8.  During the 20th century several statistician are active in developing new methods, theories and application of statistics.  Now these days the availability of electronics computers is certainly a major factor in the modern development of statistics.
  • 10. Statisticians Sir William Petty A 17th-century economist who used early Statistical methods to analyze demographic data. Carl Friedrich Gauss, - mathematician who developed the method of least square. 1809
  • 11. Ronald Fisher "A genius who almost single- handedly created the foundations for modern statistical science", James Lind -carried out the first ever clinical trial in 1747, in an effort to find a treatment for scurvy.
  • 12. What is Statistics Definition A collection of methods for planning experiments, obtaining data, and then then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions based on the data. .
  • 13. Collection of data refers to the process of obtaining information. Organization of data refers to the ascertaining manner of presenting the data into tables, graphs, or charts so that logical and statistical conclusions can be drawn from the collected measurements.
  • 14. Analysis of data refers to the process of extracting from the given data relevant information from which numerical description can be formulated. Interpretation of data refers to the task of drawing conclusions from the analyzed data.
  • 16. Branches OF Statistics Descriptive Statistics The branch of statistics that focuses on collecting, summarizing, and presenting a set of data
  • 17.  Measure of Central Tendency  Mean  Median  Mode
  • 18.  The average age of all students that are appeared in National aptitude test 2015  The average result of Fbise SSc examination  If we had the results of 100 pieces of students course work , we may be interested in the overall performance of those students
  • 19. Inferential Statistics The branch of Statistics that analyzes sample data to draw conclusions about a population.
  • 20.  For instance, suppose a survey group wants to know the prevailing sentiments among Filipino people on a certain issue. Asking every Filipino to answer a questionnaire would be impossible. It is expensive, time-consuming, and impractical. Instead, a small part of the entire population is scientifically chosen. The data gathered from this group is used to draw a general opinion of the entire population.
  • 21.  Suppose a researcher is interested to check the competence of Universities in Punjab it might, definitely impossible for him to survey the all universities of Punjab so he chose some universities technically or scientifically. The data gather from this group is used to make general conclusion
  • 23. Population 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 Population refers to the totality of all the elements or persons for which one has an interest at a particular time.
  • 24.  A researcher may associate a population to the ages of graduating students,, the I.Q. scores of the employees, the income of single parent, and so on. The usual notation for population is N.  We are the population of Masters of Education Subject  Student of the Furc university are the population of the reasearcher who was intrested to know the sentiments of students
  • 25. Census the collection of data from every member of the population. Sample a sub-collection of elements drawn from a population.
  • 26. • To be continued Sample is a part of population determined by sampling procedures. It is usually denoted by n.  Sample data must be collected in an appropriate way, such as through a process of random selection.  If sample data are not collected in an appropriate way, the data may be so completely useless that no amount of statistical operation can be held properly
  • 29. Parameter A numerical measurement describing some characteristic of a population population parameter
  • 30. Statistic A numerical measurement describing some characteristic of a sample Sample Statistics
  • 31. variable It is a specific factor, property, or characteristic of a population or a sample which differentiates a sample or group of samples from another group.  For example, the score obtained from a coeducation class may differ by gender. Hence, gender is considered variable. In a catholic congregation, religion cannot be considered a variable since every member the population is Catholic.
  • 32.  Discrete variable is a variable that can be obtained by counting.  Examples: the number of chairs and fans in our class room  Continues variable is a variable that can be obtained by measuring objects or attributes.  Examples: the weight of students, the temperature in a city over a period of time, the area of classrooms.
  • 33. Variables are properties of characteristics of people or tings that vary in characteristics, quality or magnitude from person to person or object to object  Demographic characteristics  Personality traits  Communication styles or competencies  constructs
  • 34.  Independent variable  Dependent Variable  Confounding variable  Mediating Variable  Continues variable  Discrete Variable
  • 35. Data and Variable  Data are often discussed in terms of variable  Any characteristics that vary from one member of population to another  height, Bp, I Q level
  • 36. Data Observations (such as measurements, genders, survey responses) that have been collected.
  • 37. Forms Of Data Quantitative Data Qualitative Data
  • 38. Qualitative (or categorical or attribute) data It can be separated into different categories that are distinguished by some nonnumeric characteristics. Example: genders (male/female) of professional athletes. yes/no
  • 39. Quantitative data Quantitative data refers to numerical information obtained from counting or measuring that which be manipulated by any fundamental operation. Examples:  Age, I.Q. scores, height, weight, income,Expenses,Gdp  Weight of all students of nursery class  No of students in Ma Education class  How many Applicants applied to FURC in fall 2014?
  • 40. Working with Quantitative Data Quantitative data can further be distinguished between Discrete and Continuous types.
  • 41. Discrete Data result when the number of possible, values is either a finite number or a ‘countable’ number of possible values. 0, 1, 2, 3, . . . Example: The number of eggs that hens lay The number of subjects in 2nd semester
  • 42. Continuous (numerical) Data result from infinitely many possible values that correspond to some continuous scale that covers a range of values without gaps, interruptions, or jumps.  Example: The amount of milk that a cow produces; e.g. 2.343115 gallons per day.
  • 44. Qualitative: •He is brown and black •He has long hair •He has lots of energy Quantitative: •Discrete: •He has 4 legs •He has 2 brothers •Continuous: •He weighs 25.5 kg •He is 565 mm tall
  • 45. Level Of Measurement Another way to classify data is to use levels of measurement Nominal Level of Measurement It characterized by data that consist of names, labels, or categories only. The data cannot be arranged in an ordering scheme (such as low to high) Example: survey responses yes, no, undecided
  • 46. Ordinal level of measurement It involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless Example: Course grades A, B, C, D, or F
  • 47. Interval level of measurement like the ordinal level, with the additional property that the difference between any two data values is meaningful. However, there is no natural zero starting point (where none of the quantity is present) Example: Years 1000, 2000, 1776
  • 48. Ratio level of measurement The interval level modified to include the natural zero starting point (where zero indicates that none of the quantity is present). For values at this level, differences and ratios are meaningful. Example: Prices of college textbooks ($0 represents no cost)
  • 49. Summary - Levels of Measurement Nominal - categories only Ordinal - categories with some order Interval - differences but no natural starting point(zero point) Ratio - differences and a natural starting point( no zero point)
  • 50. Questions  What is the Difference between four level of Measurement?  What is parameter and Statistics?  Which writer first use term Statistics in His drama?  Name of the staticistcians that are mentioned in presentation?
  • 52. Presented By Ayesha sarfaraz and Sidra Afzal

Editor's Notes

  • #12: Scurvy a condition caused by deficiency of ascorbic acid
  • #34: Variable must vary not be constant
  • #40: The monetary value of all the finished goods and services produced within a country's borders in a specific time period, though GDP is usually calculated on an annual basis.