statisics task fian's group
TRANSCRIPT
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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").
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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.
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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.
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TWOTWO T TYPESYPES of of STATISCA DATASTATISCA 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 .
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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)
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Symbol check
∑
xi
i=1
n∑
Sigma: Means the ‘sum of’
Sigma (1 to n) x of i: means add all values of i from 1 to n in a data set
Xi = the ith data point
7
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8
Σi = 1
n
xi
n
Refer to handout on notationRefer to handout on notation
See example on next slideSee example on next slide
Mean
Sum of all observations divided by the number of observations
In notation:
Mean uses every item of data but is sensitive to extreme ‘outliers’
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MODE
• The Mode means the value that occurs most frequently
Mode= the value that appears most frequency
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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
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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
Vanilla, 68Choco, 69
50
55
60
65
70
Choco Vanilla
Types
Axi
s Choco
Vanilla
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Pie Chart: •Shows the proportion or percent that each class represents of the total number of frequencies
Example: Ice cream 20 vendors
Graphic Presentation of Qualitative Data
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Example:
Graphic Presentation
HistogramHistogram
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Example:
3. Graphic Presentation
PolygonPolygon
Not floating in the air
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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
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VALUES FREQUENCY
SCIENCE 1IPS 13
JAPANESE 2MATH 4
ENGLISH 1ART 1
TOTAL 22
MEAN1x3+1x2+1x4+1x13
622 6 =3.66
MEDIAN22 2 =11 (IPS)
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FAVORITE SUBJECTS-Pie Charts
SCINECE4%
IPS57%
JAPANESE9%
MATH18%
FRANCE4%
ENGLISH4% ART
4%
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FAVORITE SUBJECTS-Bar Diagram
0
2
4
6
8
10
12
14
Amount
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FAVORITE SUBJECTS
0 2 4 6 8 10 12 14
IPA
IPS
JAPANESE
MTK
FRANCE
ENGLISH
ART
Amount
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DISLIKE SUBJECTS
VALUES FREQUENCY
PD 1
SCIENCE 11
OR 1
IPS 3
CIVIC 2
MEANMEAN1x11+1x3+1x2x2+1 622 6 =3.66
MEDIAN22 2 =11 (SCIENCE)
MODE(SCIENCE)
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DISLIKE SUBJECTS-Pie diagram
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DISLIKE SUBJECTS
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DISLIKE SUBJECTS
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EXERCISE
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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
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PENDIDIKAN JUMLAH
SD 100 orang
SMP 500 orang
SMA/SMK 2.100 orang
PERGURUAN TINGGI 900 orang
JUMLAH PENDUDUK 3.600
Jumlah dari suatu kelurahan sebanyak 3.600 orang,dengan berbagai tingkat pendidikan sebagai berikut:
Jika Data tersebut di buat diagram lingkaranmanak tentukan,a.Besarnya sudut sektor lingkaran untuk pendidikan SD,SMP,SMA/SMK dan
Perguruan Tinggib.Diagram lingkaran
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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.123B.100C.321D.120
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