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Statisics task fian's group
Statistics is the study of the collection, organization, analysis, interpretation,
   and presentation of data . It deals with all aspects of this, including the
   planning of data collection in terms of the design
   of surveys and experiments.

A statistician is someone who is particularly well versed in the ways of thinking
   necessary for the successful application of statistical analysis. Such people
   have often gained this experience through working in any of a wide number
   of fields. There is also a discipline called mathematical statistics that
   studies statistics mathematically.

The word statistics, when referring to the scientific discipline, is singular, as in
   "Statistics is an art. This should not be confused with the word statistic,
   referring to a quantity (such as mean ormedian) calculated from a set of
   data, whose plural is statistics ("this statistic seems wrong" or "these
   statistics are misleading").
Descriptive Statistics:

Methods of organizing, summarizing and
presenting data in an informative way.


Inferential Statistics:

Methods used to estimate a property of a
population on the basis of a sample.
Population:

The entire set of individual or objects of
interest or the measurements obtained from all
individuals or objects of interest.

Sample:

A portion, or part, of the population of interest.
TWO TYPES of STATISCA DATA
Quantitative data are obtained from the
 result of numerical recording (in the form
 of figures).



Qualitative data are data related to the
 category or characteristic of an object .
MEASURES OF CENTRAL
          TENDENCY
THE MEASURES OF CENTRAL
 TENDENCY CONSIST OF THREE
 MEASURES, NAMELY :

 Mean (arithmetic mean)

 Mode (the value that occurs most often)

 Median (the middle value)
Symbol check
            Sigma: Means the
∑            ‘sum of’
n
∑xi
            Sigma (1 to n) x of i:
 =
i 1
             means add all values
             of i from 1 to n in a
             data set
            Xi = the ith data point
                                   7
Mean
                                    8

Sum of all observations divided by the number of
  observations


                                 Σx
                                   n
In notation:
                                        i
                                             Refer to handout on notation
                                  i=1         Refer to handout on notation



                                   n
Mean uses every item of data but is sensitive to on next slide
                                        See example extreme
                                         See example on next slide
 ‘outliers’
MODE
• The Mode means the value that occurs
  most frequently

Mode= the value that appears most
 frequency
MEDIAN
• The median is a measure of central
  tendency used to analyze data.when the
  collected data are ordered,the data value
  which lies in the middle (the middle value
  of data)is called the median
Graphic Presentation
           of Qualitative Data
   Bar Chart:
       •The classes are reported on the horizontal axis
       •The class frequencies on the vertical axis
       •The class frequencies are proportional to the heights of the bars.
Example: Ice cream 20 vendors
                                   Ice Cream Sales

                  70   Choco, 69
                                                     Vanilla, 68


                  65


                                                                   Choco
           Axis




                  60
                                                                   Vanilla


                  55



                  50
                        Choco                         Vanilla
                                       Types
Graphic Presentation
                 of Qualitative Data
   Pie Chart:
       •Shows the proportion or percent that each class represents of the
       total number of frequencies


Example: Ice cream 20 vendors
Graphic Presentation
Histogram
Histogram
Example:
3. Graphic Presentation
Polygon
Polygon

Example:


               No
                 t fl
                     oa
                        tin
                           gi
                             nt
                                  he
                                       air
OUR SURVEY
In class 8B, there are 23 students.After
  survey in class 8B, we get the data about:

• Most subjects preferred
• Most subject not preferred
• Opinion about math
VALUES     FREQUENCY
                       MEAN
                       1x3+1x2+1x4+1x13
SCIENCE        1              6
                       22
  IPS         13        6 =3.66
JAPANESE       2       MEDIAN
                       22
 MATH          4        2 =11
                       (IPS)
ENGLISH        1
  ART          1
 TOTAL        22
FAVORITE SUBJECTS-Pie
         Charts

                ENGLISH
                  4%    ART SCINECE
           FRANCE              4%
                        4%
             4%

            MATH
            18%

                                      IPS
                                      57%

JAPANESE
   9%
FAVORITE SUBJECTS-Bar
       Diagram
 14
 12
 10
  8
  6                     Amount
  4
  2
  0
FAVORITE SUBJECTS

    ART

ENGLISH

 FRANCE

    MTK
                                              Amount
JAPANESE

     IPS

     IPA

           0   2   4   6   8   10   12   14
DISLIKE SUBJECTS
VALUES    FREQUENCY
                      MEAN
                      MEAN
  PD          1       1x11+1x3+1x2
                      x2+1   6
SCIENCE      11       22
                       6 =3.66

  OR          1       MEDIAN
                      22
  IPS         3        2 =11
                      (SCIENCE)

 CIVIC        2       MODE
                      (SCIENCE)
DISLIKE SUBJECTS-Pie
       diagram
DISLIKE SUBJECTS
DISLIKE SUBJECTS
EXERCISE
Statisics task fian's group
Jumlah lulusan SMP kelas IX dari
suatu daerah dapa tahun 2001 sampai 2004
adaalah sebagai berikut:
        TAHUN                       JUMLAH
         2001                          20

         2002                          40

         2003                          50

         2004                          70


  Nyatakan data di atas dalam bentuk diagram batang
Jumlah dari suatu kelurahan
     sebanyak 3.600 orang,dengan berbagai tingkat
     pendidikan sebagai berikut:

           PENDIDIKAN                     JUMLAH
                SD                       100 orang
                SMP                      500 orang
             SMA/SMK                    2.100 orang
       PERGURUAN TINGGI                  900 orang
        JUMLAH PENDUDUK                    3.600


Jika Data tersebut di buat diagram lingkaranmanak tentukan,
a.Besarnya sudut sektor lingkaran untuk pendidikan SD,SMP,SMA/SMK dan
         Perguruan Tinggi
b.Diagram lingkaran
Diagram Lingkaran di samping
menunjukan kendaraan yang di
gunakan siswa untuk berangkat ke
sekolah,jika jumlah seluruh siswa
adalah 500,Banyak siswa yang
berankat sekolah menggunakan
sepeda adalah ...


A.123
B.100
C.321
D.120
THANKS FOR WATCHING

どうもありがとうございました

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Statisics task fian's group

  • 2. Statistics is the study of the collection, organization, analysis, interpretation, and presentation of data . It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments. A statistician is someone who is particularly well versed in the ways of thinking necessary for the successful application of statistical analysis. Such people have often gained this experience through working in any of a wide number of fields. There is also a discipline called mathematical statistics that studies statistics mathematically. The word statistics, when referring to the scientific discipline, is singular, as in "Statistics is an art. This should not be confused with the word statistic, referring to a quantity (such as mean ormedian) calculated from a set of data, whose plural is statistics ("this statistic seems wrong" or "these statistics are misleading").
  • 3. Descriptive Statistics: Methods of organizing, summarizing and presenting data in an informative way. Inferential Statistics: Methods used to estimate a property of a population on the basis of a sample.
  • 4. Population: The entire set of individual or objects of interest or the measurements obtained from all individuals or objects of interest. Sample: A portion, or part, of the population of interest.
  • 5. TWO TYPES of STATISCA DATA Quantitative data are obtained from the result of numerical recording (in the form of figures). Qualitative data are data related to the category or characteristic of an object .
  • 6. MEASURES OF CENTRAL TENDENCY THE MEASURES OF CENTRAL TENDENCY CONSIST OF THREE MEASURES, NAMELY :  Mean (arithmetic mean)  Mode (the value that occurs most often)  Median (the middle value)
  • 7. Symbol check Sigma: Means the ∑ ‘sum of’ n ∑xi Sigma (1 to n) x of i: = i 1 means add all values of i from 1 to n in a data set Xi = the ith data point 7
  • 8. Mean 8 Sum of all observations divided by the number of observations Σx n In notation: i Refer to handout on notation i=1 Refer to handout on notation n Mean uses every item of data but is sensitive to on next slide See example extreme See example on next slide ‘outliers’
  • 9. MODE • The Mode means the value that occurs most frequently Mode= the value that appears most frequency
  • 10. MEDIAN • The median is a measure of central tendency used to analyze data.when the collected data are ordered,the data value which lies in the middle (the middle value of data)is called the median
  • 11. Graphic Presentation of Qualitative Data Bar Chart: •The classes are reported on the horizontal axis •The class frequencies on the vertical axis •The class frequencies are proportional to the heights of the bars. Example: Ice cream 20 vendors Ice Cream Sales 70 Choco, 69 Vanilla, 68 65 Choco Axis 60 Vanilla 55 50 Choco Vanilla Types
  • 12. Graphic Presentation of Qualitative Data Pie Chart: •Shows the proportion or percent that each class represents of the total number of frequencies Example: Ice cream 20 vendors
  • 15. OUR SURVEY In class 8B, there are 23 students.After survey in class 8B, we get the data about: • Most subjects preferred • Most subject not preferred • Opinion about math
  • 16. VALUES FREQUENCY MEAN 1x3+1x2+1x4+1x13 SCIENCE 1 6 22 IPS 13 6 =3.66 JAPANESE 2 MEDIAN 22 MATH 4 2 =11 (IPS) ENGLISH 1 ART 1 TOTAL 22
  • 17. FAVORITE SUBJECTS-Pie Charts ENGLISH 4% ART SCINECE FRANCE 4% 4% 4% MATH 18% IPS 57% JAPANESE 9%
  • 18. FAVORITE SUBJECTS-Bar Diagram 14 12 10 8 6 Amount 4 2 0
  • 19. FAVORITE SUBJECTS ART ENGLISH FRANCE MTK Amount JAPANESE IPS IPA 0 2 4 6 8 10 12 14
  • 20. DISLIKE SUBJECTS VALUES FREQUENCY MEAN MEAN PD 1 1x11+1x3+1x2 x2+1 6 SCIENCE 11 22 6 =3.66 OR 1 MEDIAN 22 IPS 3 2 =11 (SCIENCE) CIVIC 2 MODE (SCIENCE)
  • 26. Jumlah lulusan SMP kelas IX dari suatu daerah dapa tahun 2001 sampai 2004 adaalah sebagai berikut: TAHUN JUMLAH 2001 20 2002 40 2003 50 2004 70 Nyatakan data di atas dalam bentuk diagram batang
  • 27. Jumlah dari suatu kelurahan sebanyak 3.600 orang,dengan berbagai tingkat pendidikan sebagai berikut: PENDIDIKAN JUMLAH SD 100 orang SMP 500 orang SMA/SMK 2.100 orang PERGURUAN TINGGI 900 orang JUMLAH PENDUDUK 3.600 Jika Data tersebut di buat diagram lingkaranmanak tentukan, a.Besarnya sudut sektor lingkaran untuk pendidikan SD,SMP,SMA/SMK dan Perguruan Tinggi b.Diagram lingkaran
  • 28. Diagram Lingkaran di samping menunjukan kendaraan yang di gunakan siswa untuk berangkat ke sekolah,jika jumlah seluruh siswa adalah 500,Banyak siswa yang berankat sekolah menggunakan sepeda adalah ... A.123 B.100 C.321 D.120