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Hanze University of
         Applied Science
         Groningen
Ning Ding, PhD
Lecturer of International Business
School (IBS)
n.ding@pl.hanze.nl
What we are going to learn?

  1. Why they failed in STA1?

  2. Chapter 1: What is statistics?
     1. Why? What?
     2. Types of statistics, variables
     3. Levels of measurement


  3. Chapter 2: Describing data
     1. Frequency tables
     2. Frequency distributions
     3. Graphic presentation
Why they failed in Statistics?
1. Why Failed in      •Absent for the lessons;
Statistics?

2. Chapter 1:
What is               •Didn’t do the home assignments;
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
                      •Ignore the EXCEL lessons;
C.Levels of
 measurement

                      •Cannot use the theories flexibly;
3. Chapter 2:
Describing Data
A.Frequency tables    •Keep misconceptions and
B.Frequency
 distributions
                      misunderstanding till the exam;
C.Graphic
 presentation

                      •Overestimate self and underestimate the
                      subject.
Statistics are everywhere.
1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement




3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Statistics help you make decisions.

1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement




3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Statistics help you make decisions.

1. Why Failed in
Statistics?                                           Making decisions
2. Chapter 1:
What is                                                     Interpret data
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
                                                     Present data
 measurement



                                           Analyze data
3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions                       Organize data
C.Graphic
 presentation


                            Collect data
Statistics help you make decisions.

1. Why Failed in      Statistics:
Statistics?

2. Chapter 1:
What is
                      The science of collecting, organizing, presenting,
Statistics?
A.Why? What?
                      analyzing and interpreting data to assist in making
B.Types of
 statistics,
                      more effective decisions.
 variables
C.Levels of
 measurement




3. Chapter 2:
Describing Data       Descriptive Statistics:           Inferential Statistics:
A.Frequency tables
B.Frequency
 distributions
C.Graphic
                      Methods of organizing,            Methods used to estimate a
 presentation         summarizing and presenting data   property of a population on the
                      in an informative way.            basis of a sample.
Statistics help you make decisions.

1. Why Failed in
                       Descriptive Statistics:        Inferential Statistics:
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement




3. Chapter 2:                                    Population:
Describing Data
A.Frequency tables
B.Frequency                                      The entire set of individual or objects of
 distributions                                   interest or the measurements obtained
C.Graphic
 presentation
                                                 from all individuals or objects of interest.

                                                   Sample:

                                                   A portion, or part, of the population of
                                                   interest.
Statistics help you make decisions.

1. Why Failed in
                                            Inferential Statistics:
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement




3. Chapter 2:
Describing Data                             Sample:
A.Frequency tables
B.Frequency
 distributions                              A portion, or part, of the population of
C.Graphic                                   interest.
 presentation
Types of variables

1. Why Failed in     Qualitative:
Statistics?

2. Chapter 1:        nonnumeric,
What is              attribute
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



                     Quantitative:
3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
                     numerical
 distributions
C.Graphic
 presentation
Types of variables

1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement




3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation

                       Qualitative        Quantitative
Types of variables

1. Why Failed in      Discrete counting
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?         Continuous measuring
B.Types of
 statistics,
 variables
C.Levels of
 measurement
                         Discrete
                         Discrete   Continuous
                                    Continuous
                                                          Height

3. Chapter 2:
Describing Data           Salary             Class Size
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Levels of Measurement

1. Why Failed in
Statistics?
                     Nominal:
2. Chapter 1:
What is                •Data categories are represented by labels or
Statistics?
A.Why? What?
                       names.
B.Types of             •Even when the labels are numerically coded, the
 statistics,
 variables             data categories have no logical order.
C.Levels of
 measurement


                     Ordinal:
3. Chapter 2:
Describing Data        •Data classifications are represented by sets of
A.Frequency tables
B.Frequency            labels or names (high, medium, low) that have
 distributions
C.Graphic
                       relative values.
 presentation
                       •Because of the relative values, the data
                       classified can be ranked or ordered.
Levels of Measurement

1. Why Failed in
Statistics?          Nominal:
2. Chapter 1:        No logical order
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation                           Ordinal:
                                   Ranked or ordered
Levels of Measurement

1. Why Failed in
Statistics?          Interval:
2. Chapter 1:
                        •Similar to the ordinal level, with the
What is                 additional property that meaningful amounts
Statistics?
A.Why? What?            of differences between data values can be
B.Types of
 statistics,
                        determined.
 variables              •There is no natural zero point.
C.Levels of
 measurement



3. Chapter 2:
Describing Data
                     Ratio:
A.Frequency tables      •The interval level with an inherent zero starting
B.Frequency
 distributions          point.
C.Graphic
 presentation           •Differences and ratios are meaningful for this
                        level of measurement.
Levels of Measurement

1. Why Failed in
Statistics?          Interval:   Ratio:
2. Chapter 1:
What is
Statistics?                                       Salary
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement
                      Distance      Temperature            IQ

3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Levels of Measurement

1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Levels of Measurement

1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency tables
B.Frequency
 distributions
C.Graphic
 presentation
Exercises 1-a

1. Why Failed in
Statistics?          For each of the following, determine whether the group is a
                     sample or a population. Please use your clicker to vote.
2. Chapter 1:
What is
Statistics?                             a. Population        b. Sample
A.Why? What?
B.Types of
 statistics,         1.   The participants in a study of a new cholesterol drug.
 variables
C.Levels of
 measurement         2.   The drivers who received a speeding ticket Kansas City last
                          month.
3. Chapter 2:
Describing Data      3.   Those on welfare in Cook County (Chicago), Illinois.
A.Frequency tables
B.Frequency
 distributions       4.   The 30 stocks reported as a part of the Dow Jones Industrial
C.Graphic
 presentation             Average.




                                                                              P14. N.4 Ch.1
Exercises 1-a
                     Refer to the Real Estate data at the back of the text,
1. Why Failed in     which report information on homes sold in the
Statistics?          Denver, Colorado, area last year. Consider the
                     following variables:
2. Chapter 1:
What is
Statistics?
                      a. Selling price                b. Number of
A.Why? What?                                             bedrooms
B.Types of
 statistics,          c. Township
 variables                                            d. Distance from
C.Levels of                                              the city centre
 measurement


                     1. Qualitative variables are:
3. Chapter 2:
Describing Data
A.Frequency tables   2. Quantitative variables are:
B.Frequency
 distributions
C.Graphic            3. Level of measurement:                                 a. nominal
 presentation
                         1. Selling price
                         2. Number of bedrooms
                                                                 b. ordinal              c. interval
                         3. Township
                         4. Distance
                                                                              d. ratio

                                                                                    P18. N.16 Ch.1
Describing Data

1. Why Failed in
                   Frequency Table:
Statistics?          •A grouping of qualitative data into mutually exclusive
2. Chapter 1:
                     classes showing the number of observations in each
What is              class.
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Describing Data

1. Why Failed in
Statistics?        Relative Class Frequencies:
2. Chapter 1:
                     •Show the fraction of the total number of
What is              observations in each class
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement


                                                    Relative Frequency
3. Chapter 2:
Describing Data
A.Frequency
                                                    5/12 = 41.67%
 tables
B.Frequency                                         3/12=25.00%
 distributions
C.Graphic                                           4/12=33.33%
 presentation

                      Total              12
Exercises 2-a
                   A total of 1,000 residents in Minnesota were asked which season they
1. Why Failed in   preferred. The results were 100 liked winter best, 300 liked spring,
Statistics?
                   400 liked summer, and 200 liked fall.
2. Chapter 1:
What is
Statistics?
                   If the data were summarized in a frequency table, how many classes
A.Why? What?       would be used? What would be the relative frequencies for each
B.Types of
 statistics,
                   class?
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation




                                                                        P27. N.3 .Ch.2
Graphic Presentation of Qualitative data
1. Why Failed in
                     Bar Chart
Statistics?             •The classes are reported on the horizontal axis
                        •The class frequencies on the vertical axis
2. Chapter 1:
What is                 •The class frequencies are proportional to the heights of the
Statistics?             bars.
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Graphic Presentation of Qualitative data
1. Why Failed in
                    Pie Chart:
Statistics?            •Shows the proportion or percent that each class represents
                       of the total number of frequencies
2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Graphic Presentation of Qualitative data
1. Why Failed in
Statistics?

2. Chapter 1:
What is
Statistics?          Pie charts require that you include all
A.Why? What?         the categories that make up a
B.Types of
 statistics,         whole.
 variables
C.Levels of
 measurement
                     Use them only when you want to
                     emphasize each category's relation
3. Chapter 2:
Describing Data
                     to the whole.
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Frequency Distributions
                   Frequency Distribution:
1. Why Failed in
Statistics?          •A grouping of data into mutually exclusive classes showing
2. Chapter 1:
                     the number of observations in each class.
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Frequency Distributions
1. Why Failed in
Statistics?         •A grouping of data into mutually exclusive classes
                    showing the number of observations in each class.
2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Frequency Distributions
                   Step 1: Just enough recipe 2 to the k rule
1. Why Failed in       22=4 23=8 24=16
Statistics?

2. Chapter 1:         25=32 26=64 27=128
What is                N=27 number of class=5
Statistics?
A.Why? What?
B.Types of
 statistics,
                      Step 2: Class Interval
 variables
C.Levels of
 measurement                                                     (55-14)/5 ≈ 8

3. Chapter 2:
Describing Data      Step 3: Choose nice “round”
A.Frequency          boundaries                          10 -< 20       4
 tables
B.Frequency
 distributions
                                                         20 -< 30       1
C.Graphic
 presentation
                     Step 4: Try to avoid empty and      30 -< 40      10
                     open classes
                                                         40 -< 50       9
                                                         50 -< 60       3
                                                                       N=27
Exercises 2-b

1. Why Failed in
                   A set of data consists of 45 observations between $0 and $29. What
Statistics?        size would you recommend for the class interval?
2. Chapter 1:           a. 4     b. 5     c. 6     d. 7
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
                        Hint 1:
 tables
B.Frequency             24 = 16, 25 = 32, 26 = 64, 27 = 128
 distributions
C.Graphic               Hint
 presentation
                        2:

                                                                           P33. N.8 .Ch.2
Exercises 2-b
                   The Quick Change Oil Company has a number of outlets in the metropolitan
1. Why Failed in
Statistics?        Seattle area. The daily number of oil changes at the Oak Street outlet in the past
                   20 days are:
2. Chapter 1:           65    98   55    62 79       59 51 90 72            56
What is
Statistics?             70    62   66    80 94       79 63 73 71            85
A.Why? What?
B.Types of
 statistics,           What class interval would you suggest?
 variables
C.Levels of
 measurement
                         a. 8       b. 9       c. 10       d. 6


3. Chapter 2:
                       Hint 1:
Describing Data
A.Frequency            26 = 64, 28 = 256, 29 = 512, 210 = 1024
 tables
B.Frequency            Hint
 distributions
C.Graphic
 presentation
                       2:
Exercises 2-b
                   The Quick Change Oil Company has a number of outlets in the
1. Why Failed in   metropolitan Seattle area. The daily number of oil changes at the Oak
Statistics?
                   Street outlet in the past 20 days are:
2. Chapter 1:
What is
Statistics?                    65   98   55   62 79     59 51 90 72         56
A.Why? What?
B.Types of                     70   62   66   80 94     79 63 73 71         85
 statistics,
 variables
C.Levels of
 measurement       c. What lower limit would you recommend for the first class?

3. Chapter 2:
Describing Data       c. 50
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation




                                                                         P34. N.12.Ch.2
Graphic Presentation of Quantitative data
1. Why Failed in   a)   Histogram
Statistics?             •The classes are marked on the horizontal axis
                        •The class frequencies on the vertical axis
2. Chapter 1:
                        •The class frequencies are represented by the heights of the bars
What is
Statistics?             and the bars are adjacent to each other.
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Graphic Presentation of Quantitative data
1. Why Failed in    b)   Polygon:
Statistics?              •The shape of a distribution
                         •Similar to a histogram
2. Chapter 1:
What is
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Graphic Presentation of Quantitative data
1. Why Failed in   c) Cumulative frequency distribution:
Statistics?        used to determine how many or what proportion of the data values are below or
                   above a certain value.
2. Chapter 1:
What is                                       Ogive
Statistics?
A.Why? What?
B.Types of
 statistics,
 variables
C.Levels of
 measurement



3. Chapter 2:
Describing Data
A.Frequency
 tables
B.Frequency
 distributions
C.Graphic
 presentation
Cumulative    Frequency
1. Why Failed in
             frequency     Distribution
Statistics?
            distribution

2.Why Failed in 1:
1.
    Chapter
     What
Statistics?
is Statistics?
2. Chapter 1:
What is
   A. Why? What?
Statistics?
A.Why?Types of
   B. What?
B.Types of
         statistics,
 statistics,
         variables
 variables
   C. Levels of
C.Levels of
         measurement
 measurement



3.Chapter 2: 2:
3. Chapter
Describing Data Data
Describing
A.Frequency
  A. Frequency
 tables
        tables
B.Frequency
  B. Frequency
 distributions
        distributions
C.Graphic
 presentation
  C. Graphic
      presentation
What we have learnt?
1. Why Failed in
Statistics?        1. Why they failed in Statistics?
2. Chapter 1:
What is
Statistics?
A.Why? What?
                   2. Chapter 1: What is Statistics?
B.Types of
 statistics,
 variables          A. Why? What?
C.Levels of
 measurement        B. Types of statistics, variables
                    C. Levels of measurement

3. Chapter 2:
Describing Data
A.Frequency        3. Chapter 2: Describing Data
 tables
B.Frequency         A. Frequency tables
 distributions      B. Frequency distributions
C.Graphic
 presentation       C. Graphic presentation

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Lesson 1

  • 1. Hanze University of Applied Science Groningen Ning Ding, PhD Lecturer of International Business School (IBS) n.ding@pl.hanze.nl
  • 2. What we are going to learn? 1. Why they failed in STA1? 2. Chapter 1: What is statistics? 1. Why? What? 2. Types of statistics, variables 3. Levels of measurement 3. Chapter 2: Describing data 1. Frequency tables 2. Frequency distributions 3. Graphic presentation
  • 3. Why they failed in Statistics? 1. Why Failed in •Absent for the lessons; Statistics? 2. Chapter 1: What is •Didn’t do the home assignments; Statistics? A.Why? What? B.Types of statistics, variables •Ignore the EXCEL lessons; C.Levels of measurement •Cannot use the theories flexibly; 3. Chapter 2: Describing Data A.Frequency tables •Keep misconceptions and B.Frequency distributions misunderstanding till the exam; C.Graphic presentation •Overestimate self and underestimate the subject.
  • 4. Statistics are everywhere. 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 5. Statistics help you make decisions. 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 6. Statistics help you make decisions. 1. Why Failed in Statistics? Making decisions 2. Chapter 1: What is Interpret data Statistics? A.Why? What? B.Types of statistics, variables C.Levels of Present data measurement Analyze data 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions Organize data C.Graphic presentation Collect data
  • 7. Statistics help you make decisions. 1. Why Failed in Statistics: Statistics? 2. Chapter 1: What is The science of collecting, organizing, presenting, Statistics? A.Why? What? analyzing and interpreting data to assist in making B.Types of statistics, more effective decisions. variables C.Levels of measurement 3. Chapter 2: Describing Data Descriptive Statistics: Inferential Statistics: A.Frequency tables B.Frequency distributions C.Graphic Methods of organizing, Methods used to estimate a presentation summarizing and presenting data property of a population on the in an informative way. basis of a sample.
  • 8. Statistics help you make decisions. 1. Why Failed in Descriptive Statistics: Inferential Statistics: Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Population: Describing Data A.Frequency tables B.Frequency The entire set of individual or objects of distributions interest or the measurements obtained C.Graphic presentation from all individuals or objects of interest. Sample: A portion, or part, of the population of interest.
  • 9. Statistics help you make decisions. 1. Why Failed in Inferential Statistics: Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data Sample: A.Frequency tables B.Frequency distributions A portion, or part, of the population of C.Graphic interest. presentation
  • 10. Types of variables 1. Why Failed in Qualitative: Statistics? 2. Chapter 1: nonnumeric, What is attribute Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement Quantitative: 3. Chapter 2: Describing Data A.Frequency tables B.Frequency numerical distributions C.Graphic presentation
  • 11. Types of variables 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation Qualitative Quantitative
  • 12. Types of variables 1. Why Failed in Discrete counting Statistics? 2. Chapter 1: What is Statistics? A.Why? What? Continuous measuring B.Types of statistics, variables C.Levels of measurement Discrete Discrete Continuous Continuous Height 3. Chapter 2: Describing Data Salary Class Size A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 13. Levels of Measurement 1. Why Failed in Statistics? Nominal: 2. Chapter 1: What is •Data categories are represented by labels or Statistics? A.Why? What? names. B.Types of •Even when the labels are numerically coded, the statistics, variables data categories have no logical order. C.Levels of measurement Ordinal: 3. Chapter 2: Describing Data •Data classifications are represented by sets of A.Frequency tables B.Frequency labels or names (high, medium, low) that have distributions C.Graphic relative values. presentation •Because of the relative values, the data classified can be ranked or ordered.
  • 14. Levels of Measurement 1. Why Failed in Statistics? Nominal: 2. Chapter 1: No logical order What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation Ordinal: Ranked or ordered
  • 15. Levels of Measurement 1. Why Failed in Statistics? Interval: 2. Chapter 1: •Similar to the ordinal level, with the What is additional property that meaningful amounts Statistics? A.Why? What? of differences between data values can be B.Types of statistics, determined. variables •There is no natural zero point. C.Levels of measurement 3. Chapter 2: Describing Data Ratio: A.Frequency tables •The interval level with an inherent zero starting B.Frequency distributions point. C.Graphic presentation •Differences and ratios are meaningful for this level of measurement.
  • 16. Levels of Measurement 1. Why Failed in Statistics? Interval: Ratio: 2. Chapter 1: What is Statistics? Salary A.Why? What? B.Types of statistics, variables C.Levels of measurement Distance Temperature IQ 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 17. Levels of Measurement 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 18. Levels of Measurement 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 19. Exercises 1-a 1. Why Failed in Statistics? For each of the following, determine whether the group is a sample or a population. Please use your clicker to vote. 2. Chapter 1: What is Statistics? a. Population b. Sample A.Why? What? B.Types of statistics, 1. The participants in a study of a new cholesterol drug. variables C.Levels of measurement 2. The drivers who received a speeding ticket Kansas City last month. 3. Chapter 2: Describing Data 3. Those on welfare in Cook County (Chicago), Illinois. A.Frequency tables B.Frequency distributions 4. The 30 stocks reported as a part of the Dow Jones Industrial C.Graphic presentation Average. P14. N.4 Ch.1
  • 20. Exercises 1-a Refer to the Real Estate data at the back of the text, 1. Why Failed in which report information on homes sold in the Statistics? Denver, Colorado, area last year. Consider the following variables: 2. Chapter 1: What is Statistics? a. Selling price b. Number of A.Why? What? bedrooms B.Types of statistics, c. Township variables d. Distance from C.Levels of the city centre measurement 1. Qualitative variables are: 3. Chapter 2: Describing Data A.Frequency tables 2. Quantitative variables are: B.Frequency distributions C.Graphic 3. Level of measurement: a. nominal presentation 1. Selling price 2. Number of bedrooms b. ordinal c. interval 3. Township 4. Distance d. ratio P18. N.16 Ch.1
  • 21. Describing Data 1. Why Failed in Frequency Table: Statistics? •A grouping of qualitative data into mutually exclusive 2. Chapter 1: classes showing the number of observations in each What is class. Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 22. Describing Data 1. Why Failed in Statistics? Relative Class Frequencies: 2. Chapter 1: •Show the fraction of the total number of What is observations in each class Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement Relative Frequency 3. Chapter 2: Describing Data A.Frequency 5/12 = 41.67% tables B.Frequency 3/12=25.00% distributions C.Graphic 4/12=33.33% presentation Total 12
  • 23. Exercises 2-a A total of 1,000 residents in Minnesota were asked which season they 1. Why Failed in preferred. The results were 100 liked winter best, 300 liked spring, Statistics? 400 liked summer, and 200 liked fall. 2. Chapter 1: What is Statistics? If the data were summarized in a frequency table, how many classes A.Why? What? would be used? What would be the relative frequencies for each B.Types of statistics, class? variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation P27. N.3 .Ch.2
  • 24. Graphic Presentation of Qualitative data 1. Why Failed in Bar Chart Statistics? •The classes are reported on the horizontal axis •The class frequencies on the vertical axis 2. Chapter 1: What is •The class frequencies are proportional to the heights of the Statistics? bars. A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 25. Graphic Presentation of Qualitative data 1. Why Failed in Pie Chart: Statistics? •Shows the proportion or percent that each class represents of the total number of frequencies 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 26. Graphic Presentation of Qualitative data 1. Why Failed in Statistics? 2. Chapter 1: What is Statistics? Pie charts require that you include all A.Why? What? the categories that make up a B.Types of statistics, whole. variables C.Levels of measurement Use them only when you want to emphasize each category's relation 3. Chapter 2: Describing Data to the whole. A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 27. Frequency Distributions Frequency Distribution: 1. Why Failed in Statistics? •A grouping of data into mutually exclusive classes showing 2. Chapter 1: the number of observations in each class. What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 28. Frequency Distributions 1. Why Failed in Statistics? •A grouping of data into mutually exclusive classes showing the number of observations in each class. 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 29. Frequency Distributions Step 1: Just enough recipe 2 to the k rule 1. Why Failed in 22=4 23=8 24=16 Statistics? 2. Chapter 1: 25=32 26=64 27=128 What is N=27 number of class=5 Statistics? A.Why? What? B.Types of statistics, Step 2: Class Interval variables C.Levels of measurement  (55-14)/5 ≈ 8 3. Chapter 2: Describing Data Step 3: Choose nice “round” A.Frequency boundaries 10 -< 20 4 tables B.Frequency distributions 20 -< 30 1 C.Graphic presentation Step 4: Try to avoid empty and 30 -< 40 10 open classes 40 -< 50 9 50 -< 60 3 N=27
  • 30. Exercises 2-b 1. Why Failed in A set of data consists of 45 observations between $0 and $29. What Statistics? size would you recommend for the class interval? 2. Chapter 1: a. 4 b. 5 c. 6 d. 7 What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency Hint 1: tables B.Frequency 24 = 16, 25 = 32, 26 = 64, 27 = 128 distributions C.Graphic Hint presentation 2: P33. N.8 .Ch.2
  • 31. Exercises 2-b The Quick Change Oil Company has a number of outlets in the metropolitan 1. Why Failed in Statistics? Seattle area. The daily number of oil changes at the Oak Street outlet in the past 20 days are: 2. Chapter 1: 65 98 55 62 79 59 51 90 72 56 What is Statistics? 70 62 66 80 94 79 63 73 71 85 A.Why? What? B.Types of statistics, What class interval would you suggest? variables C.Levels of measurement a. 8 b. 9 c. 10 d. 6 3. Chapter 2: Hint 1: Describing Data A.Frequency 26 = 64, 28 = 256, 29 = 512, 210 = 1024 tables B.Frequency Hint distributions C.Graphic presentation 2:
  • 32. Exercises 2-b The Quick Change Oil Company has a number of outlets in the 1. Why Failed in metropolitan Seattle area. The daily number of oil changes at the Oak Statistics? Street outlet in the past 20 days are: 2. Chapter 1: What is Statistics? 65 98 55 62 79 59 51 90 72 56 A.Why? What? B.Types of 70 62 66 80 94 79 63 73 71 85 statistics, variables C.Levels of measurement c. What lower limit would you recommend for the first class? 3. Chapter 2: Describing Data c. 50 A.Frequency tables B.Frequency distributions C.Graphic presentation P34. N.12.Ch.2
  • 33. Graphic Presentation of Quantitative data 1. Why Failed in a) Histogram Statistics? •The classes are marked on the horizontal axis •The class frequencies on the vertical axis 2. Chapter 1: •The class frequencies are represented by the heights of the bars What is Statistics? and the bars are adjacent to each other. A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 34. Graphic Presentation of Quantitative data 1. Why Failed in b) Polygon: Statistics? •The shape of a distribution •Similar to a histogram 2. Chapter 1: What is Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 35. Graphic Presentation of Quantitative data 1. Why Failed in c) Cumulative frequency distribution: Statistics? used to determine how many or what proportion of the data values are below or above a certain value. 2. Chapter 1: What is Ogive Statistics? A.Why? What? B.Types of statistics, variables C.Levels of measurement 3. Chapter 2: Describing Data A.Frequency tables B.Frequency distributions C.Graphic presentation
  • 36. Cumulative Frequency 1. Why Failed in frequency Distribution Statistics? distribution 2.Why Failed in 1: 1. Chapter What Statistics? is Statistics? 2. Chapter 1: What is A. Why? What? Statistics? A.Why?Types of B. What? B.Types of statistics, statistics, variables variables C. Levels of C.Levels of measurement measurement 3.Chapter 2: 2: 3. Chapter Describing Data Data Describing A.Frequency A. Frequency tables tables B.Frequency B. Frequency distributions distributions C.Graphic presentation C. Graphic presentation
  • 37. What we have learnt? 1. Why Failed in Statistics? 1. Why they failed in Statistics? 2. Chapter 1: What is Statistics? A.Why? What? 2. Chapter 1: What is Statistics? B.Types of statistics, variables A. Why? What? C.Levels of measurement B. Types of statistics, variables C. Levels of measurement 3. Chapter 2: Describing Data A.Frequency 3. Chapter 2: Describing Data tables B.Frequency A. Frequency tables distributions B. Frequency distributions C.Graphic presentation C. Graphic presentation