Calculate percentage and sectarian angle of each program -

Question

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.