QUESTION 1:
Consider program chosen obtained from a simple random sample of 50 school leavers around Kelang Valley as shown in Table 1.
A - Architecture B - Business C - Communication
E - Engineering F - Foundation I - IT
Table 1
|
B
|
F
|
I
|
B
|
A
|
A
|
F
|
F
|
F
|
F
|
|
E
|
B
|
C
|
I
|
B
|
E
|
C
|
C
|
B
|
F
|
|
C
|
E
|
C
|
A
|
E
|
I
|
I
|
E
|
B
|
B
|
|
F
|
E
|
C
|
B
|
C
|
I
|
I
|
E
|
E
|
B
|
|
F
|
B
|
F
|
F
|
C
|
I
|
E
|
E
|
A
|
E
|
a) Prepare a summary table for program chosen. Calculate percentage and sectarian angle of each program.
b) Represent these information on a pie chart.
c) Draw a bar chart to represent the program chosen.
QUESTION 2:
Data in Table 2 represents the lifespan (in year) for a sample of 36 batteries used in an industrial.
Table 2
|
4.1
|
5.2
|
2.8
|
4.9
|
5.6
|
4.0
|
4.1
|
4.3
|
5.4
|
|
4.5
|
6.1
|
3.7
|
2.3
|
4.5
|
4.9
|
5.6
|
4.3
|
3.9
|
|
3.2
|
5.0
|
4.8
|
3.7
|
4.6
|
5.5
|
1.8
|
5.1
|
4.2
|
|
6.3
|
3.3
|
5.8
|
4.4
|
4.8
|
3.0
|
4.3
|
4.7
|
5.1
|
Based on the data,
a) construct a frequency distribution. Take 0.8 as a class width and 1.8 as a lower limit of the first class.
b) draw a histogram and frequency polygon.
QUESTION 3:
Refer to the frequency table in Question 2a), calculate the following:
a) mean
b) mode
c) standard deviation
d) Pearson's coefficient of skewness
Comment on the skewness of the distribution.
QUESTION 4:
Table shows the frequency distribution of the weight (in kg) of 52 students at a college.
|
Weight (kg)/
Berat (kg)
|
Frequency/ Kekerapan
|
|
40 - 44
|
2
|
|
45 - 49
|
|
|
50 - 54
|
7
|
|
55 - 59
|
|
|
60 - 64
|
|
|
65 - 69
|
2
|
|
70 - 74
|
1
|
Determined:
a) the value of x
b) first quartile
c) median
d) third quartile.
e) inter-quartile range.