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Mohamed Amir (B.Ed, M.Sc.)
1
WEEK 1 - LECTURE
2
Components Weightings Due Dates
Individual Assignment 20% Week 12
Quizzes(1, 2) 10% Week 4,13
Mid Sem Exam 20% Week 8
Final Examination 50%
 Students will be able to:
◦ Understand the meaning and use of statistics
◦ Distinguish between Descriptive and Inferential
statistics.
◦ To discuss sources and types of data
◦ Limitations of statistics
◦ Understand statistics in economics and commerce
3
 Statistics is the scientific method that
enables us to make decisions as
responsibly as possible.
4
 Plays an important role in many facets of
human endeavour
 Occurs remarkably frequently in our everyday
lives
 Is often incorrectly thought of as just a
collection of data, graphs and diagrams
5
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-6
 To know how to properly present
information
 To know how to draw conclusions
about populations based on sample
information
 To know how to improve processes
 To know how to obtain reliable
forecasts
1. Collecting pertinent information that is as reliable as
possible.
2. Selecting the parts of the available information that are
most helpful to make rational decisions.
3. Making the actual decisions as sensibly as possible on
the basis of the available evidence.
4. Perceiving the risks entailed in the particular decision
made, and evaluating the corresponding risks of
alternative actions.
7
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-8
Needs of government to
collect data on its citizens
The development of the
mathematics of probability
theory
The advent of the computer
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-9
 A population (universe) is the collection of
things under consideration
 A sample is a portion of the population
selected for analysis
 A parameter is a summary measure
computed to describe a characteristic of the
population
 A statistic is a summary measure computed
to describe a characteristic of the sample
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-10
Population Sample
Use parameters to
summarize features
Use statistics to
summarize features
Inference on the population from the sample
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-11
 Descriptive statistics
◦ Collecting and describing data
 Inferential statistics
◦ Drawing conclusions and/or making
decisions concerning a population based
only on sample data
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-12
 Collect data
◦ e.g. Survey
 Present data
◦ e.g. Tables and graphs
 Characterize data
◦ e.g. Sample mean =
i
X
n

Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-13
 Estimation
◦ e.g.: Estimate the population
mean weight using the
sample mean weight
 Hypothesis testing
◦ e.g.: Test the claim that the
population mean weight is
120 pounds
Drawing conclusions and/or making decisions
concerning a population based on sample results.
 Especially relates to:
◦ Determining whether characteristics of a
situation are unusual or if they have happened
by chance
◦ Estimating values of numerical quantities and
determining the reliability of those estimates
◦ Using past occurrences to attempt to predict the
future
14
 Virtually everything varies
 Variation occurs among individuals
 Variation occurs within any one individual
as time passes
15
 Affects the reliability of information:
◦ Conclusions reached from one set of people may
or may not carry over to a different set.
◦ Conclusions made today may not be valid in the
future.
16
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-17
 To provide input to survey
 To provide input to study
 To measure performance of service or
production process
 To evaluate conformance to standards
 To assist in formulating alternative courses
of action
 To satisfy curiosity
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-18
Primary
Data Collection
Secondary
Data Compilation
Observation
Experimentation
Survey
Print or Electronic
Basic Business Statistics, 8e ©
2002 Prentice-Hall, Inc.
Chap 1-19
Categorical
(Qualitative)
Discrete Continuous
Numerical
(Quantitative)
Data
 Rank data (e.g. where individuals or objects are ranked
according to a criterion)
 Categorical data or classification data involves placing
observations into categories (e.g. eye colour or gender)
 Primary data are information collected by the person or
organisation that will be using the information
 Secondary data are information already collected by
someone else
20
 Think of statistical methods as a component
of decision making, but not the whole story.
You want to supplement – not replacement –
business experience, common sense, and
intuition.
 Data set: information about some group of
individuals.
◦ Measurements.
 Units of observations: the objects described by
data set.
◦ Examples: people; Countries; Housing units etc.
 Variable: any characteristics of units of
observations.
Types of Variables
Qualitative
(Categorical)
Quantitative
(Numerical)
Variables
 The objects are grouped into categories
based on some qualitative characteristics.
 Gender.
◦ Female, male.
 Course level.
◦ Advanced, elementary, fundamental,
professional.
 Smoking status.
◦ Smoker, non-smoker.
 HDI rank.
◦ High, medium, low.
Qualitative Variable
Not binary
Binary
Ordinal
Variable
Nominal
Variable
Binary Not binary
 Qualitative variable: categories without
meaningful order.
 Gender.
◦ Female, male.
 Smoking status.
◦ Smoker, non-smoker.
 Ordinal variable: categories with meaningful
order.
 Human development index rank
◦ High, medium, low
 Rating
◦ A+, A, A-, B+, B, B- …
 Categorical variable with only two categories.
 Binary variable can either be nominal or
ordinal.
 Smoking status.
◦ Smoker, non-smoker.
 Are you married?
◦ Yes, no.
 Class.
◦ Lower quintile, upper quintile,
 Quantitative variable: meaningful numbers.
 Answer to the following questions:
How much?
How many?
How old are you?
 Age
 Average monthly salary
 Number of participants in the Business
Mathematics course in 2012
Quantitative
variable
Continuous
Discrete
 Continuous Data can take any value (within a range)
 Examples:
 A person's height: could be any value (within the range of human heights),
not just certain fixed heights,
 Time in a race: you could even measure it to fractions of a second,
 A dog's weight,
 The length of a leaf,
 Lots more!
Discrete Data: Examples
• Number of houses renewed: 50
• Number of Islands: 1190
• Number of participants in the class: 8
Croucher, John S.
Introductory mathematics and statistics
for business
Chapter S1: Introduction to statistics
Chapter S2: Visual presentation of data

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STA003_WK1_L.pptx

  • 1. Mohamed Amir (B.Ed, M.Sc.) 1 WEEK 1 - LECTURE
  • 2. 2 Components Weightings Due Dates Individual Assignment 20% Week 12 Quizzes(1, 2) 10% Week 4,13 Mid Sem Exam 20% Week 8 Final Examination 50%
  • 3.  Students will be able to: ◦ Understand the meaning and use of statistics ◦ Distinguish between Descriptive and Inferential statistics. ◦ To discuss sources and types of data ◦ Limitations of statistics ◦ Understand statistics in economics and commerce 3
  • 4.  Statistics is the scientific method that enables us to make decisions as responsibly as possible. 4
  • 5.  Plays an important role in many facets of human endeavour  Occurs remarkably frequently in our everyday lives  Is often incorrectly thought of as just a collection of data, graphs and diagrams 5
  • 6. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-6  To know how to properly present information  To know how to draw conclusions about populations based on sample information  To know how to improve processes  To know how to obtain reliable forecasts
  • 7. 1. Collecting pertinent information that is as reliable as possible. 2. Selecting the parts of the available information that are most helpful to make rational decisions. 3. Making the actual decisions as sensibly as possible on the basis of the available evidence. 4. Perceiving the risks entailed in the particular decision made, and evaluating the corresponding risks of alternative actions. 7
  • 8. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-8 Needs of government to collect data on its citizens The development of the mathematics of probability theory The advent of the computer
  • 9. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-9  A population (universe) is the collection of things under consideration  A sample is a portion of the population selected for analysis  A parameter is a summary measure computed to describe a characteristic of the population  A statistic is a summary measure computed to describe a characteristic of the sample
  • 10. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-10 Population Sample Use parameters to summarize features Use statistics to summarize features Inference on the population from the sample
  • 11. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-11  Descriptive statistics ◦ Collecting and describing data  Inferential statistics ◦ Drawing conclusions and/or making decisions concerning a population based only on sample data
  • 12. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-12  Collect data ◦ e.g. Survey  Present data ◦ e.g. Tables and graphs  Characterize data ◦ e.g. Sample mean = i X n 
  • 13. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-13  Estimation ◦ e.g.: Estimate the population mean weight using the sample mean weight  Hypothesis testing ◦ e.g.: Test the claim that the population mean weight is 120 pounds Drawing conclusions and/or making decisions concerning a population based on sample results.
  • 14.  Especially relates to: ◦ Determining whether characteristics of a situation are unusual or if they have happened by chance ◦ Estimating values of numerical quantities and determining the reliability of those estimates ◦ Using past occurrences to attempt to predict the future 14
  • 15.  Virtually everything varies  Variation occurs among individuals  Variation occurs within any one individual as time passes 15
  • 16.  Affects the reliability of information: ◦ Conclusions reached from one set of people may or may not carry over to a different set. ◦ Conclusions made today may not be valid in the future. 16
  • 17. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-17  To provide input to survey  To provide input to study  To measure performance of service or production process  To evaluate conformance to standards  To assist in formulating alternative courses of action  To satisfy curiosity
  • 18. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-18 Primary Data Collection Secondary Data Compilation Observation Experimentation Survey Print or Electronic
  • 19. Basic Business Statistics, 8e © 2002 Prentice-Hall, Inc. Chap 1-19 Categorical (Qualitative) Discrete Continuous Numerical (Quantitative) Data
  • 20.  Rank data (e.g. where individuals or objects are ranked according to a criterion)  Categorical data or classification data involves placing observations into categories (e.g. eye colour or gender)  Primary data are information collected by the person or organisation that will be using the information  Secondary data are information already collected by someone else 20
  • 21.  Think of statistical methods as a component of decision making, but not the whole story. You want to supplement – not replacement – business experience, common sense, and intuition.
  • 22.  Data set: information about some group of individuals. ◦ Measurements.  Units of observations: the objects described by data set. ◦ Examples: people; Countries; Housing units etc.  Variable: any characteristics of units of observations.
  • 24.  The objects are grouped into categories based on some qualitative characteristics.
  • 25.  Gender. ◦ Female, male.  Course level. ◦ Advanced, elementary, fundamental, professional.  Smoking status. ◦ Smoker, non-smoker.  HDI rank. ◦ High, medium, low.
  • 27.  Qualitative variable: categories without meaningful order.
  • 28.  Gender. ◦ Female, male.  Smoking status. ◦ Smoker, non-smoker.
  • 29.  Ordinal variable: categories with meaningful order.
  • 30.  Human development index rank ◦ High, medium, low  Rating ◦ A+, A, A-, B+, B, B- …
  • 31.  Categorical variable with only two categories.  Binary variable can either be nominal or ordinal.
  • 32.  Smoking status. ◦ Smoker, non-smoker.  Are you married? ◦ Yes, no.  Class. ◦ Lower quintile, upper quintile,
  • 33.  Quantitative variable: meaningful numbers.  Answer to the following questions: How much? How many? How old are you?
  • 34.  Age  Average monthly salary  Number of participants in the Business Mathematics course in 2012
  • 36.  Continuous Data can take any value (within a range)  Examples:  A person's height: could be any value (within the range of human heights), not just certain fixed heights,  Time in a race: you could even measure it to fractions of a second,  A dog's weight,  The length of a leaf,  Lots more! Discrete Data: Examples • Number of houses renewed: 50 • Number of Islands: 1190 • Number of participants in the class: 8
  • 37. Croucher, John S. Introductory mathematics and statistics for business Chapter S1: Introduction to statistics Chapter S2: Visual presentation of data