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Statistics
Chapter 1
Statistics
            • status, census
            • as a science
                  “ a collection, organization,
              presentation, analysis, and
              interpretation of data”




6/30/2012                                         2
Descriptive Statistics
               • Includes anything     Answers questions such
             done to data which is       as
                         designed to   Who…
                      summarize or     What…
                 describes, without
            going any further, that    How… performed better in
                                         Who
                                         What are the highest and
                                         the entrance examination?
              is without attempting      lowest scores obtained
                                         What is the most
              to infer anything that     by students in thein
                                         populated school test?
            goes beyond the data         Metro Manila?
                                         How many students are
                        themselves.      interested to take
                                         Statistics online?

6/30/2012                                                            3
What are the Roles and Principal
                Objectives of Descriptive Statistics
                     as a Scientific Discipline
            •   What kind of data to be collected?
            •   How much data need to be collected?
            •   How should we organize the data?
            •   How should we interpret the data?


6/30/2012                                              4
Most Pinoys Believe in Love at First Sight
            (Source: Philippine Daily Inquirer, February 15, 2002)
                  According to the survey made by the Social Weather Stations
            (SWS) in November, MAJORITY of Filipinos believe in love at first sight
            and say each person has only one true love. Belief in love at first sight is
            higher among middle-aged and older Filipinos compared to younger
            ones, and higher among Filipinos with less education. Compared to a
            February 2000 Gallup poll in the United States, the SWS survey found
            that more Filipinos believe in love at first sight (72% compared to 52%
            among Americans), have experienced falling in love at first sight (64%
            compared to 40% among Americans), and believe in one true love (84%
            compared to 74% among Americans). When asked about their past
            relations, SWS found that 70% of Filipino men have experienced falling
            in love at first sight, as compared to only 58% of Filipino women. Sixty-
            seven percent (67%) of married Filipinos are more likely to say they
            have experienced falling in love at first sight, compared to 54% of single
            Filipinos.
                  The SWS said it surveyed 1,200 adults. The results have a 3%
            margin of error.


6/30/2012                                                                                  5
Terms Used in
       Statistics                                       Population      Parameter
            Population
             - is the set of measurements
            corresponding to the entire collection           We may wish indicated
                                                                         not
                                                            We maytelevision
                                                             A typical wish to
                                                                             to
            of units about which the information is         network surveys uses a
                                                            draw conclusions
                                                                   conclusion
            sought.                                         sample of 2000
            - is the group of objects about which           about the recovery
                                                                    how Metro
            conclusions are to be drawn.
                                                            households and the
                                                            Manilans vote in the
                                                            rate ofare used to form
                                                            results 4000 college
            Parameter
                                                            coming presidential
                                                            students by studying
                                                            conclusions about the
            - is any numerical value which                  election by 300
                                                            a sample ofall
                                                            population of studying
            describes a population                          26,000,000 of 1000
                                                            a sample households
                                                            students from the
                                                            in the country. this
                                                            persons from
                                                            population.
            Sample
            - the set of measurement that are               population.
            actually collected in the course of the
            investigation.
            - is the portion of the subset of objects
                                                                  Sample
            drawn from the population.
6/30/2012                                                                             6
Classification of Data
               Qualitative Variables                            QUALITATIVE
            1) color of - measure a quality or
                        the eye                       are attributes which cannot be
              characteristics on each                 subjected to meaningful
                                                      1) color of the eye
            2)individualof computers in a room
               number or object,                      arithmetic.
                                                      3) position in an organization
            3)distinguished by some
               position in an organization
              nonnumeric characteristics.             5) Rate of politician (e.g. excellent)
            4) number of students enrolled in NEU     6) state of our forest
            5) Rate of politician (e.g. excellent)
            6) state of our forest                             QUANTITATIVE
            7) temperature Variables City
             Quantitative in Baguio                  arenumber of computers in a room
                                                      2) numerical in nature and
                  - measure a numerical              therefore meaningful
                                                      4) number of students enrolled in NEU
            8) amount of time to finisheach
             quantity or amount on the test          arithmetic can be done.
             individual or object.                   7) temperature in Baguio City
            9) scores in exam
                                                     8) amount of time to finish the test
                                                     9) scores in exam
6/30/2012                                                                                      7
QUANTITATIVE

                                  2) number of computers in a room
                        - assume exact                             - assume the infinitely
                                                         many values corresponding to
              values only. It can assume of students enrolled in NEU
                                  4) number
              only a finite or countable                 the point on a line interval in
                                  7) temperature in Baguio Citya way that there are no
                                                         such
              number of values. Decimals
                                                         gaps or interruptions. Decimals
              have no meaning. 8) amount of time to finish the test
                                                         have meaning.
                                  9) scores in exam


                         DISCRETE                                CONTINUOUS

            2) number of computers in a room         7) temperature in Baguio City

            4) number of students enrolled in
                                                     8) amount of time to finish the test
               NEU

            9) scores in exam



6/30/2012                                                                                    8
Scales of Measurement
                                -categorical
            NOMINAL             ORDINAL
                                -
                                                       INTERVAL            RATIO
                                 names, labels,
                                 or categorized
            1) The different     only
                                1) sizes of t-shirts
            students’           (e.g. small) do
                                                       1) honor of
                                 -numbers              students          1) length of movies
            organization         not mean
            2) The survey       2) rating of
                                 anything              2) ranking in a   2) number of votes
                                politician (e.g.
            responses of yes,                          contest
                                poor)
            no or undecided



                                                        -numerical        -numerical
                                 -categorical
                                                        -numbers are      -numbers are
            -categorical         -numbers are                             used
                                 used to label          used
            -names, labels,                                               -differences
            and categorize       and rank               -differences
                                                        between data      between data
            only                 -differences                             values are
                                 between data           values are
            -numbers don’t                              meaningful        meaningful
            mean anything        values are
                                 meaningless            -no zero          -have zero

6/30/2012                                                                                      9
ACTIVITY NO. 2



                     Prof. Amelia F. Asaytono

            copyright 2006 www.brainybetty.com ALL RIGHTS
6/30/2012                    RESERVED.                      10
Activity No. 1b
            A restaurant wants to get feedback from its 1000 customer on the quality of food and
            services it offers. Below is a sample of the survey questionnaire that they distribute to
            their 100 customers.
            Using the sample survey, identify at least five variables that you can classify as
            QUANTITATIVE or QUALITATIVE. For QUALITATIVE VARIABLE, determine if it is
            NOMINAL or ORDINAL. For QUANTITATIVE VARIABLE, determine if it is RATIO or
            INTERVAL and DISCRETE or CONTINUOUS.



               Name:                                             Quality of Food
               ________________________________                  _____VS _____S         _____US
               Age: _____________ Gender:                        Serving Size
               _________________                                 _____VS _____S         _____US
               Nutritional Orientation                           Services
               ____ Vegetarian ____ Non-vegetarian               _____VS _____S           _____US
               How often do you go to this restaurant?
               ____ once a week                                  VS - Very Satisfactory
               ____ twice a week                                  S - Satisfactory
               ____ more than twice a week                       US - Unsatisfactory
               ____ others
               What type of orders do you usually                Remarks/Comments/Suggestions:
               take?                                             __________________________
               ____ solo meals         ____ group meals          __________________________
               ____ combo meals ____ ala carte
6/30/2012                                                                                               11
References

            High School Statistics by Campeña
            Basic Statistics with Probability by
                     Hernandez
               Elementary Statistics by Blay
              Introduction to Probability and
               Statistics by Calingasa

                        PowerPoint Lay-out
                       www.brainybetty.com
6/30/2012                                          12

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Chapter 1

  • 2. Statistics • status, census • as a science “ a collection, organization, presentation, analysis, and interpretation of data” 6/30/2012 2
  • 3. Descriptive Statistics • Includes anything Answers questions such done to data which is as designed to Who… summarize or What… describes, without going any further, that How… performed better in Who What are the highest and the entrance examination? is without attempting lowest scores obtained What is the most to infer anything that by students in thein populated school test? goes beyond the data Metro Manila? How many students are themselves. interested to take Statistics online? 6/30/2012 3
  • 4. What are the Roles and Principal Objectives of Descriptive Statistics as a Scientific Discipline • What kind of data to be collected? • How much data need to be collected? • How should we organize the data? • How should we interpret the data? 6/30/2012 4
  • 5. Most Pinoys Believe in Love at First Sight (Source: Philippine Daily Inquirer, February 15, 2002) According to the survey made by the Social Weather Stations (SWS) in November, MAJORITY of Filipinos believe in love at first sight and say each person has only one true love. Belief in love at first sight is higher among middle-aged and older Filipinos compared to younger ones, and higher among Filipinos with less education. Compared to a February 2000 Gallup poll in the United States, the SWS survey found that more Filipinos believe in love at first sight (72% compared to 52% among Americans), have experienced falling in love at first sight (64% compared to 40% among Americans), and believe in one true love (84% compared to 74% among Americans). When asked about their past relations, SWS found that 70% of Filipino men have experienced falling in love at first sight, as compared to only 58% of Filipino women. Sixty- seven percent (67%) of married Filipinos are more likely to say they have experienced falling in love at first sight, compared to 54% of single Filipinos. The SWS said it surveyed 1,200 adults. The results have a 3% margin of error. 6/30/2012 5
  • 6. Terms Used in Statistics Population Parameter Population - is the set of measurements corresponding to the entire collection We may wish indicated not We maytelevision A typical wish to to of units about which the information is network surveys uses a draw conclusions conclusion sought. sample of 2000 - is the group of objects about which about the recovery how Metro conclusions are to be drawn. households and the Manilans vote in the rate ofare used to form results 4000 college Parameter coming presidential students by studying conclusions about the - is any numerical value which election by 300 a sample ofall population of studying describes a population 26,000,000 of 1000 a sample households students from the in the country. this persons from population. Sample - the set of measurement that are population. actually collected in the course of the investigation. - is the portion of the subset of objects Sample drawn from the population. 6/30/2012 6
  • 7. Classification of Data Qualitative Variables QUALITATIVE 1) color of - measure a quality or the eye are attributes which cannot be characteristics on each subjected to meaningful 1) color of the eye 2)individualof computers in a room number or object, arithmetic. 3) position in an organization 3)distinguished by some position in an organization nonnumeric characteristics. 5) Rate of politician (e.g. excellent) 4) number of students enrolled in NEU 6) state of our forest 5) Rate of politician (e.g. excellent) 6) state of our forest QUANTITATIVE 7) temperature Variables City Quantitative in Baguio arenumber of computers in a room 2) numerical in nature and - measure a numerical therefore meaningful 4) number of students enrolled in NEU 8) amount of time to finisheach quantity or amount on the test arithmetic can be done. individual or object. 7) temperature in Baguio City 9) scores in exam 8) amount of time to finish the test 9) scores in exam 6/30/2012 7
  • 8. QUANTITATIVE 2) number of computers in a room - assume exact - assume the infinitely many values corresponding to values only. It can assume of students enrolled in NEU 4) number only a finite or countable the point on a line interval in 7) temperature in Baguio Citya way that there are no such number of values. Decimals gaps or interruptions. Decimals have no meaning. 8) amount of time to finish the test have meaning. 9) scores in exam DISCRETE CONTINUOUS 2) number of computers in a room 7) temperature in Baguio City 4) number of students enrolled in 8) amount of time to finish the test NEU 9) scores in exam 6/30/2012 8
  • 9. Scales of Measurement -categorical NOMINAL ORDINAL - INTERVAL RATIO names, labels, or categorized 1) The different only 1) sizes of t-shirts students’ (e.g. small) do 1) honor of -numbers students 1) length of movies organization not mean 2) The survey 2) rating of anything 2) ranking in a 2) number of votes politician (e.g. responses of yes, contest poor) no or undecided -numerical -numerical -categorical -numbers are -numbers are -categorical -numbers are used used to label used -names, labels, -differences and categorize and rank -differences between data between data only -differences values are between data values are -numbers don’t meaningful meaningful mean anything values are meaningless -no zero -have zero 6/30/2012 9
  • 10. ACTIVITY NO. 2 Prof. Amelia F. Asaytono copyright 2006 www.brainybetty.com ALL RIGHTS 6/30/2012 RESERVED. 10
  • 11. Activity No. 1b A restaurant wants to get feedback from its 1000 customer on the quality of food and services it offers. Below is a sample of the survey questionnaire that they distribute to their 100 customers. Using the sample survey, identify at least five variables that you can classify as QUANTITATIVE or QUALITATIVE. For QUALITATIVE VARIABLE, determine if it is NOMINAL or ORDINAL. For QUANTITATIVE VARIABLE, determine if it is RATIO or INTERVAL and DISCRETE or CONTINUOUS. Name: Quality of Food ________________________________ _____VS _____S _____US Age: _____________ Gender: Serving Size _________________ _____VS _____S _____US Nutritional Orientation Services ____ Vegetarian ____ Non-vegetarian _____VS _____S _____US How often do you go to this restaurant? ____ once a week VS - Very Satisfactory ____ twice a week S - Satisfactory ____ more than twice a week US - Unsatisfactory ____ others What type of orders do you usually Remarks/Comments/Suggestions: take? __________________________ ____ solo meals ____ group meals __________________________ ____ combo meals ____ ala carte 6/30/2012 11
  • 12. References High School Statistics by Campeña Basic Statistics with Probability by Hernandez Elementary Statistics by Blay Introduction to Probability and Statistics by Calingasa PowerPoint Lay-out www.brainybetty.com 6/30/2012 12