statistics
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STATISTICS. Grade IX. Sutarman Indonesian International School Yangon. Release 1 2006. END. SUBTOPICS :. Table Frequency Aritmetic Mean Mode Median Quartile Data Representation. Consider the following case :. - PowerPoint PPT PresentationTRANSCRIPT
STATISTICSGrade IX
SutarmanIndonesian International School Yangon
Release 12006
END
SUBTOPICS :
Table Frequency Aritmetic Mean Mode Median Quartile Data Representation
Consider the following case :
The measurement of height was done on a number of people, then the following measures (in centimetres) were obtained:
170, 165, 165, 172, 155, 157, 172, 172,175, 175, 165, 170, 170, 175, 157, 172, 171, 165, 172, 165, 150, 155,180, 170, 165, 157, 165, 175, 165, 170
Statistics gives us easier way to understand the data.
170, 165, 165, 172, 155, 157, 172, 172,175, 175, 165, 170, 170, 175, 157, 172, 175, 165, 172, 165, 150, 155,180, 170, 165, 157, 165, 175, 165, 170
Table Frequency :We can make a table frequency for the data of heightmentioned :
155157165170172175180
IIIIIIIIIII IIIIIIIIIIIIIIIIIII
150 12385551
30
Height (cm) Tally Frequency
Sum
150 160 170 180140
Graph of Frequency
0190
2
4
6
8
10
Frequency
Height
Arithmetic Mean (1)
Arithmetic mean or mean of the mentioned data is the sum of data divided by the number of data.
Suppose that there are n data as follows : nxxxx ,...,,, 321
nxxxxxMean n ...321
Example :
Determine mean from data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12
Answer :121816121719121267910202218 x
15
15210
14
Arithmetic Mean (2)Example :Determine mean of thedata :
Answer :
Data f679
1012161718192022
11114112111
Data f Data x f
Sum
6791012161718192022
11114112111
679
1048161736192022
15 210
x
21015 = 14
ModeMode is the data of the highest frequency.
Example :
Answer :a. Mode = 12b. Mode = 2 and 3c. no mode
Find mode from each data :a. 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12b. 3, 5, 2, 8, 3, 2, 7, 9, 10c. 4, 3, 7, 9, 2, 1
Median (1)
Median is a data that divides the whole data into two parts of equal numbers.
• To find the median, the data must be ordered.
Ordered data : 6, 7, 9, 10, 12, 12, 12, 12, 16, 17, 18, 18, 19 20, 22
Median (2)
Example :
Find the median of data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12
Answer :
Quartile (1)
• The quartiles (lower quartile, median, and upper quartile) are the data that divides the whole data into four parts of equal numbers.
– To find the quartiles, the data must be ordered.
3 numbers
Equal Numbers !
7 numbers
Quartile (2)Example :
Find the quartiles of data : 18, 22, 20, 10, 9, 7, 6, 12, 12, 19, 17, 12, 16, 18, 12Answer :Ordered data :
6, 7, 9, 10, 12, 12, 12, 12, 16, 17, 18, 18, 19 20, 22
3 numbersLower quartile =10
3 numbers3 numbers 3 numbers
Upper quartile =18
3 numbers
7 numbers
Quartile (3)Example :
Find the quartiles of data : 18, 22, 20, 10, 9, 7, 6, 12, 19, 17, 12, 16, 18, 12Answer :
3 numbersLower quartile =10
3 numbers3 numbers 3 numbers
Upper quartile = 18Ordered data :
6, 7, 9, 10, 12, 12, 12, 16, 17, 18, 18, 19 20, 22
3 numbers
Equal Numbers !
6 numbers
Quartile (5)Example :
Find the quartiles of data : 10, 10, 20, 25, 27, 32, 40, 45, 56, 60, 70, 80Answer :
Median =366 numbers
3 numbersLower quartile =22.5
3 numbers3 numbers 3 numbersUpper quartile = 58
Data has been ordered :
10, 10, 20, 25, 27, 32, 40, 45, 56, 60, 70, 80
Data Presentation (1)Consider the data in the following frequency table :
Goods Weight (kg) FrequencyABCDE
700710820900930
91845279
Sum 108
We can represent those data using the:
• PIE DIAGRAM• BAR CHART• LINE DIAGRAM• PICTOGRAM (PICTURE DIAGRAM)
Data Presentation (2)(Pie Diagram)
Goods
Weight (kg)
Frequency
ABCDE
700710820900930
91845279
Sum 108
A : weight 700 kg, central angle = 30360.108
9
B : weight 710 kg, central angle =
C : weight 820 kg, central angle =
60360.10818
150360.10845
Data Presentation (3)(Pie Diagram)
A : weight 700 kg, central angle = 30360.108
9
B : weight 710 kg, central angle =
C : weight 820 kg, central angle =
60360.10818
150360.10845
A
B
C
D
E
30O
60O
150O
30O
10
20
30
40
50
Data Presentation (4)(Bar Chart)
Goods Weight (kg) Frequency
ABCDE
700710820900930
91845279
Sum 1080
A B C D EGoods
f
10
20
30
40
50
Data Presentation (5)(Line Diagram)
Goods Weight (kg) Frequency
ABCDE
700710820900930
91845279
Sum 1080
700 750 800 850 900Goods
f
950
Data Presentation (6)Pictogram (Picture Digram)
2001
2002
2003
2004
2005
Phone sold in five years from “You Can” shop :
Remark :
= 100 unit
Bye bye …………
n Thank You