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What is Statistics




                            Chapter 1




McGraw-Hill/Irwin                       ©The McGraw-Hill Companies, Inc. 2008
GOALS

     Understand   why we study statistics.
     Explain what is meant by descriptive
      statistics and inferential statistics.
     Distinguish between a qualitative variable
      and a quantitative variable.
     Describe how a discrete variable is different
      from a continuous variable.
     Distinguish among the nominal, ordinal,
      interval, and ratio levels of measurement.

2
What is Meant by Statistics?


      Statistics is the science of
      collecting, organizing, presenting,
      analyzing, and interpreting
      numerical data to assist in
      making more effective decisions.



3
Who Uses Statistics?


       Statistical techniques are used
       extensively by marketing,
       accounting, quality control,
       consumers, professional sports
       people, hospital administrators,
       educators, politicians, physicians,
       etc...


4
Types of Statistics – Descriptive
    Statistics

     Descriptive Statistics - methods of organizing,
      summarizing, and presenting data in an
      informative way.
           EXAMPLE 1: A Gallup poll found that 49% of the people in a survey knew the name of
             the first book of the Bible. The statistic 49 describes the number out of every 100
             persons who knew the answer.

           EXAMPLE 2: According to Consumer Reports, General Electric washing machine
             owners reported 9 problems per 100 machines during 2001. The statistic 9
             describes the number of problems out of every 100 machines.


     Inferential Statistics: A decision, estimate,
       prediction, or generalization about a
       population, based on a sample.


5
Population versus Sample

    A population is a collection of all possible individuals, objects, or
    measurements of interest.

    A sample is a portion, or part, of the population of interest




6
Types of Variables

     A. Qualitative or Attribute variable - the
       characteristic being studied is nonnumeric.
       EXAMPLES: Gender, religious affiliation, type of automobile
       owned, state of birth, eye color are examples.


     B. Quantitative variable - information is reported
       numerically.
       EXAMPLES: balance in your checking account, minutes
       remaining in class, or number of children in a family.



7
Quantitative Variables - Classifications

     Quantitative variables can be classified as either discrete
       or continuous.

     A. Discrete variables: can only assume certain values
        and there are usually “gaps” between values.
       EXAMPLE: the number of bedrooms in a house, or the number of hammers sold at the local
       Home Depot (1,2,3,…,etc).


     B. Continuous variable can assume any value within a
       specified range.
        EXAMPLE: The pressure in a tire, the weight of a pork chop, or the height of students in a
          class.



8
Summary of Types of Variables




9
Four Levels of Measurement

      Nominal level - data that is              Interval level - similar to the ordinal
        classified into categories and              level, with the additional
        cannot be arranged in any                   property that meaningful
        particular order.                           amounts of differences between
              EXAMPLES: eye color, gender,          data values can be determined.
                religious affiliation.              There is no natural zero point.
                                                         EXAMPLE: Temperature on the
                                                           Fahrenheit scale.

      Ordinal level – involves data
         arranged in some order, but the        Ratio level - the interval level with
         differences between data                  an inherent zero starting point.
         values cannot be determined or            Differences and ratios are
         are meaningless.                          meaningful for this level of
              EXAMPLE: During a taste test of      measurement.
                4 soft drinks, Mellow Yellow            EXAMPLES: Monthly income
                was ranked number 1, Sprite             of surgeons, or distance
                number 2, Seven-up number               traveled by manufacturer’s
                3, and Orange Crush number
                4.                                      representatives per month.



10
Summary of the Characteristics for
     Levels of Measurement




11
End of Chapter 1




12

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Chapter 01

  • 1. What is Statistics Chapter 1 McGraw-Hill/Irwin ©The McGraw-Hill Companies, Inc. 2008
  • 2. GOALS  Understand why we study statistics.  Explain what is meant by descriptive statistics and inferential statistics.  Distinguish between a qualitative variable and a quantitative variable.  Describe how a discrete variable is different from a continuous variable.  Distinguish among the nominal, ordinal, interval, and ratio levels of measurement. 2
  • 3. What is Meant by Statistics? Statistics is the science of collecting, organizing, presenting, analyzing, and interpreting numerical data to assist in making more effective decisions. 3
  • 4. Who Uses Statistics? Statistical techniques are used extensively by marketing, accounting, quality control, consumers, professional sports people, hospital administrators, educators, politicians, physicians, etc... 4
  • 5. Types of Statistics – Descriptive Statistics Descriptive Statistics - methods of organizing, summarizing, and presenting data in an informative way. EXAMPLE 1: A Gallup poll found that 49% of the people in a survey knew the name of the first book of the Bible. The statistic 49 describes the number out of every 100 persons who knew the answer. EXAMPLE 2: According to Consumer Reports, General Electric washing machine owners reported 9 problems per 100 machines during 2001. The statistic 9 describes the number of problems out of every 100 machines. Inferential Statistics: A decision, estimate, prediction, or generalization about a population, based on a sample. 5
  • 6. Population versus Sample A population is a collection of all possible individuals, objects, or measurements of interest. A sample is a portion, or part, of the population of interest 6
  • 7. Types of Variables A. Qualitative or Attribute variable - the characteristic being studied is nonnumeric. EXAMPLES: Gender, religious affiliation, type of automobile owned, state of birth, eye color are examples. B. Quantitative variable - information is reported numerically. EXAMPLES: balance in your checking account, minutes remaining in class, or number of children in a family. 7
  • 8. Quantitative Variables - Classifications Quantitative variables can be classified as either discrete or continuous. A. Discrete variables: can only assume certain values and there are usually “gaps” between values. EXAMPLE: the number of bedrooms in a house, or the number of hammers sold at the local Home Depot (1,2,3,…,etc). B. Continuous variable can assume any value within a specified range. EXAMPLE: The pressure in a tire, the weight of a pork chop, or the height of students in a class. 8
  • 9. Summary of Types of Variables 9
  • 10. Four Levels of Measurement Nominal level - data that is Interval level - similar to the ordinal classified into categories and level, with the additional cannot be arranged in any property that meaningful particular order. amounts of differences between EXAMPLES: eye color, gender, data values can be determined. religious affiliation. There is no natural zero point. EXAMPLE: Temperature on the Fahrenheit scale. Ordinal level – involves data arranged in some order, but the Ratio level - the interval level with differences between data an inherent zero starting point. values cannot be determined or Differences and ratios are are meaningless. meaningful for this level of EXAMPLE: During a taste test of measurement. 4 soft drinks, Mellow Yellow EXAMPLES: Monthly income was ranked number 1, Sprite of surgeons, or distance number 2, Seven-up number traveled by manufacturer’s 3, and Orange Crush number 4. representatives per month. 10
  • 11. Summary of the Characteristics for Levels of Measurement 11