Open University Malaysia
Faculty of Business and Management
SBST1103
Introduction to Statistics
Name: Adam Khaleel
Tutor’ Name: Mr. Naushaadh
Learning Centre: Villa College
Trimester: January 2012
Contents
Question No: 1
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 1-10),
- Continuous quantitative variable
- Qualitative variable
- Continuous quantitative variable
- Continuous quantitative variable
- Discrete quantitative variable
Question No: 2
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 25-34),
- A group of 25 pair of jeans produced in California, Arizona and taxes which is a quantitative variable.
b) California= 9/25*100 Arizona= 8/25*100 Texas= 8/25*100
=36% =32% =32%
Question No: 2
C) According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 25-34),
d) 825
e) California
f) Pie chart shows the percentage of pair of jeans produced in each state and the bar chart shows the total number of jeans produced in each state. Therefore the highest percentage in the pie chart that is 36% and the highest bar that is 9 pair of jeans in bar chart indicates that in California produced more jeans than other two states individually. In addition to this in Taxes and Arizona produced 32% that is 8 pair of jeans for each state.
Question No: 3
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 1-59),
- Mean = (550+400+260+320+500+480+460+480+510+490+505)11
= 495511 = £ 450.50
Mode = £ 480
- 260 320 400 460 480 480 490 500 505 510 550
= 11+12= 6th place
Median = £ 480
- Lower quartile = 14(11+1)= 3rd place
Lower quartile = £ 400
Upper quartile = 34(11+1)= 9th place
Upper quartile = £ 505
Question No: 4
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 38-59),
- No. of classes Class width = (32.3-0.2)6
K = 1+3.3log (n) = 5.35 or = 5 months
= 1+3.3log (50)
= 6.6
Question No: 4
Class
|
Counting tally
|
Frequency (f)
|
Relative frequency
|
Relative frequency (%)
|
0 ̶ 4
|
//// //// //// //// //
|
22
|
0.44
|
44
|
5 ̶ 9
|
//// //// //
|
12
|
0.24
|
24
|
10 ̶ 14
|
//// /
|
6
|
0.12
|
12
|
15 ̶ 19
|
//// /
|
6
|
0.12
|
12
|
20 ̶ 24
|
//
|
2
|
0.04
|
4
|
25 ̶ 29
|
/
|
1
|
0.02
|
2
|
30 ̶ 34
|
/
|
1
|
0.02
|
2
|
Sum
|
∑f = 50
|
1
|
100
|
- The shape is positively skewed because the mode < median < mean.
- 22+12 = 32
= 3250= 1625
Question No: 5
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 38-59),
µ = (230×10)+(200×20)10+20
= 630030
= MRF 210.
Question No: 6
According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 38-59),
(30×F)+(60×160)90 =150
30F + 9600 = 13500
30F = 13500 ̶ 9600
F = 390030 = 130,
Therefore average daily wages of female is MRF 130.
Question No: 7
a) According to Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 38-59),
Class interval
|
10 ̶ 20
|
20 ̶ 30
|
30 ̶ 40
|
40 ̶ 50
|
50 ̶ 60
|
60 ̶ 70
|
Frequency
|
10
|
20
|
30
|
25
|
10
|
5
|
Mid points
|
15
|
25
|
35
|
45
|
55
|
65
|
Question No: 7
b)
Marks
|
0 ̶ 10
|
10 ̶ 20
|
20 ̶ 30
|
30 ̶ 40
|
40 ̶ 50
|
50 ̶ 60
|
No. of Students
|
10
|
20
|
30
|
50
|
40
|
30
|
Upper boundary
|
10.5
|
20.5
|
30.5
|
40.5
|
50.5
|
60.5
|
Cumulative Frequency
|
10
|
30
|
60
|
110
|
150
|
180
|
References
Dr. Shahran, M, K., Dr. Mukherjee, T, K. (2010, p. 1-59). Introduction to Statistics. Malaysia: Metero Doc. Sdn. Bhd.
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