Kkp Mat Statistics
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Transcript of Kkp Mat Statistics
Statistics
Statistics involves use of sample data to predict, estimate and finally used in
managerial decisions. It refers to scientific methods by which the data are
collected, organized, presented and analysed.
Quantitative variable
A quantitative variable is a numerical datum or observation that represents an
amount or quantity. The quantity can be discrete or continuous.
Example of quantitative variable:
1. Earnings of fishermen in Terengganu
2. The number of fishermen in Terengganu.
3. The number of Proton Wira cars in the parking lot.
4. The number of wau ordered.
5. The area or size of IIUM’s campus in Gombak.
Discrete and continuous variables
A discrete is a countable number of values. The values are generally
expressed as integers or whole numbers.
A continuous variable is a number that can assume all of the infinitely many
values corresponding to a line interval.
Qualitative variable
A qualitative variable is a non-numerical observation that represents a
category of data.
Example of qualitative:
1. Colour.
2. Gender, i.e. male or female.
3. Marital status, i.e. single, married, divorced or separated.
Frequency distribution
Frequency distribution is a table that contains of data values and its frequency
is the number of times a value occurs.
Range is the difference between the highest and the lowest values in a
frequency distribution.
Grouped frequency distribution
Grouped frequency distribution is displays the data in class intervals and the
number of data (frequency) that is included in each class.
Cumulative frequency
Cumulative frequency is the total number of data that is less than a particular
value (usually the upper class boundary)
Mean, median and mode is statistic
Mean
Mean is the sum of the data in a frequency distribution divided by the
number of data elements.
Median
The value of the middle element when the size is odd(or the average
value of the two middle elements when the sample size is even)in a
frequency distribution. To find the median, the data elements must be
in order.
Mode
The most frequently occurring value in frequency distribution.
TYPES OF HAND PHONE USED BY PPISMP SEMESTER 1 STUDENTS IN
INSTITUT PENDIDIKAN GURU KAMPUS PERLIS.
No Class Sony Ericsson Nokia CSL Samsung LG Other
1 Pemulihan B /
2 Pemulihan B /
3 Pemulihan B /
4 Pemulihan B /
5 Pemulihan B /
6 Pemulihan B /
7 Pemulihan B /
8 Pemulihan A /
9 Pemulihan A /
10 Pemulihan B /
11 Pemulihan B /
12 Pemulihan B /
13 Pemulihan B /
14 Pemulihan B /
15 Pemulihan B /
16 Pemulihan B /
17 Pemulihan B /
18 Pemulihan B /
19 TESL D /
20 TESL D /
21 TESL D /
22 TESL D /
23 TESL D /
24 TESL D /
25 TESL D /
26 TESL D /
27 TESL D / /
28 TESL D /
29 TESL D /
30 TESL D /
31 TESL D /
32 Pendidikan Jasmani /
33 Pendidikan Jasmani /
34 Pendidikan Jasmani /
35 Pendidikan Jasmani /
36 Pendidikan Jasmani /
37 Pendidikan Jasmani
38 Pendidikan Jasmani /
39 Pendidikan Jasmani /
40 Pendidikan Jasmani /
41 Pendidikan Jasmani /
42 TESL B /
43 PJ SEMESTER 3 /
44 PJ SEMESTER 3 /
45 PJ SEMESTER 3 /
46 PJ SEMESTER 3 /
47 PJ SEMESTER 3 /
48 PJ SEMESTER 3 /
49 PJ SEMESTER 3 /
50 PJ SEMESTER 3 /
51 PJ SEMESTER 3 /
52 PJ SEMESTER 3 /
53 PJ SEMESTER 3 /
54 PJ SEMESTER 3 /
55 PJ SEMESTER 3 /
56 PJ SEMESTER 3 /
57 PJ SEMESTER 3 /
58 PJ SEMESTER 3 /
59 PJ SEMESTER 3 /
60 PJ SEMESTER 3 /
Method used in collecting data
1. Observation
Our group prepare paper or form to classes and told them to fill
the form. That is how our group gather the data. We observe
each class by giving them a form to fill.
Frequency distribution
Types of Hand Phone Tally Frequency
Sony Ericsson llll llll llll llll llll llll 29
Nokia llll llll llll llll llll 25
CSL lll 3
Samsung 0
LG l 1
Other ll 2
Sum 60
Qualitative Data
Types of hand phone Frequency
Sony Ericsson 29
Nokia 25
CSL 3
Samsung 0
LG 1
Other 2
Sum 60
ANSWER FOR MEAN, MEDIAN AND MODE:
a) Mean = x
n
= 29 + 25 + 3 + 0 + 1 + 2
6
= 60/6
Mean = 10
b) Rearrange the numbers in ascending order:
0 1 2 3 25 29
Median = 2 + 3
2
Median = 2.5
c) Mode = 29
Bar Chart
Types of hand phone Frequency
Sony Ericsson 29
Nokia 25
CSL 3
Samsung 0
LG 1
Other 2
Sum 60
Sony Eric-sson
Nokia CSL Samsung LG Other0
5
10
15
20
25
30
35 Types of Hand Phone Used by PPISMP
Semester 1 Students.
Types of Hand Phone
Frequency(f)
Pie Chart
48%
25%
3%
1%2%
Types of Hand Phone Used by PPISMP Semester 1 Students.
Sony EricssonNokiaCSLSamsungLGOther
48%
25%3%
1%2%
Types of Hand Phone Used by PPISMP
Semester 1 Students.
Sony EricssonNokiaCSLSamsungLGOther
WEIGHT(KG) OF PPISMP SEMESTER 1 STUDENTS IN INSTITUTE PENDIDIKAN
GURU KAMPUS PERLIS
No Class Weight (kg)
1 Pemulihan B 45
2 Pemulihan B 40
3 Pemulihan B 48
4 Pemulihan B 45
5 Pemulihan B 79
6 Pemulihan B 75
7 Pemulihan B 46
8 Pemulihan B 46
9 Pemulihan B 52
10 Pemulihan B 60
11 Pemulihan B 77
12 Pemulihan B 62
13 Pemulihan B 63
14 Pemulihan B 85
15 Pemulihan B 65
16 Pemulihan B 52
17 Pemulihan B 44
18 Pemulihan A 62
19 Pemulihan B 38
20 Pemulihan B 43
21 Pemulihan B 38
22 TESL D 52
23 TESL D 43
24 TESL D 60
25 TESL D 52
26 TESL D 43
27 TESL D 54
28 TESL D 68
29 TESL D 47
30 TESL D 43
31 TESL D 46
32 TESL D 59
33 TESL D 47
34 TESL D 70
35 TESL D 71
36 TESL D 87
37 TESL D 70
38 TESL D 58
39 TESL D 67
40 Pendidikan Jasmani 49
41 Pendidikan Jasmani 43
42 Pendidikan Jasmani 65
43 Pendidikan Jasmani 59
44 Pendidikan Jasmani 37
45 Pendidikan Jasmani 46
46 Pendidikan Jasmani 55
47 Pendidikan Jasmani 61
48 TESL B 55
49 Pendidikan Jasmani Semester 3 51
50 Pendidikan Jasmani Semester 3 52
51 Pendidikan Jasmani Semester 3 60
52 Pendidikan Jasmani Semester 3 57
53 Pendidikan Jasmani Semester 3 57
54 Pendidikan Jasmani Semester 3 60
55 Pendidikan Jasmani Semester 3 55
56 Pengajian Agama Semester 3 50
57 Bahasa Melayu Semester 3 62
58 Bahasa Melayu Semester 3 59
59 Bahasa Cina Semester 3 57
60 Bahasa Cina Semester 3 69
Frequency distribution
Weight (kg) Tally Frequency
30 – 39 III 3
40 – 49 IIII IIII IIII II 17
50 – 59 IIII IIII IIII III 18
60 – 69 IIII IIII IIII 14
70 – 79 IIII I 6
80 – 89 II 2
sum 60
Quantitative data
Weight (kg) Frequency
30 – 39 3
40 – 49 17
50 – 59 18
60 – 69 14
70 – 79 6
80 – 89 2
sum 60
Relative Frequency
Weight (kg) Frequency Relative Frequency ( f / f )
30 – 39 3 0.05
40 – 49 17 0.28
50 – 59 18 0.30
60 – 69 14 0.23
70 – 79 6 0.10
80 – 89 2 0.03
sum 60
Lower Boundary and Upper Boundary
Weight (kg) Lower Boundary Upper Boundary
30 – 39 29.5 39.5
40 – 49 39.5 49.5
50 – 59 49.5 59.5
60 – 69 59.5 69.5
70 – 79 69.5 79.5
80 – 89 79.5 89.5
Midpoint
Weight (kg) Midpoint
30 – 39 34.5
40 – 49 44.5
50 – 59 54.5
60 – 69 64.5
70 – 79 74.5
80 – 89 84.5
Cumulative Relative Frequency
Weight (kg)
L/B U/B frequency Relative frequenc
y
Midpoint Cumulative frequency
30 – 39 29.5 39.5 3 0.05 34.5 3
40 – 49 39.5 49.5 17 0.28 44.5 20
50 – 59 49.5 59.5 18 0.30 54.5 38
60 – 69 59.5 69.5 14 0.23 64.5 52
70 – 79 69.5 79.5 6 0.10 74.5 58
80 – 89 79.5 89.5 2 0.03 84.5 60
ANSWER FOR MEAN, MEDIAN AND MODE:
a) Mean = x= ∑fx∑ f
Mean = Sum of (midpoint × frequency)Sum of frequency
= 3(34.5) + 17(44.5) + 18(54.5) + 14(64.5) + 6(74.5) + 2(84.5)
60
= 3360 60
= 56
b) Median = LB + [ N2 −f
fm ]c Median class = 50 – 59
= 49.5 + [ 602 −20
18 ]10
= 49.5 + (0.56 x 10)
= 49.5 + 5.6
= 55.1
c) Mode class = 50 – 59
Bar Chart
Weight (kg)
L/B U/B frequency Relative frequenc
y
Midpoint Cumulative frequency
30 – 39 29.5 39.5 3 0.05 34.5 3
40 – 49 39.5 49.5 17 0.28 44.5 20
50 – 59 49.5 59.5 18 0.30 54.5 38
60 – 69 59.5 69.5 14 0.23 64.5 52
70 – 79 69.5 79.5 6 0.10 74.5 58
80 – 89 79.5 89.5 2 0.03 84.5 60
34.5 44.5 54.5 64.5 74.5 84.502468
101214161820
Statistic Weight of PPISMP Semester 1 Students in IPG Campus Perlis
Midpoint
Freq
uenc
y (f)
Ogive
0 10 20 30 40 50 60 70 80 900
2
4
6
8
10
12
Weight of PPISMP Semester 1 Students in IPG Campus Perlis
Y-Values
Weigth (kg)
Cum
ulati
v fr
eque
ncy