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. 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 our
survey in class 8B get 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%
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