DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
BOTSWANA OPEN UNIVERSITY
Diploma in Business Management
Business Statistics
BBS 621
ASSIGNMENT
Marks – 100
Instructions
1. This assignment is based on material covered in the course module.
2. The assignment consists of THREE sections: A, B and C.
3. Answer questions according to instructions given in each section.
4. Use correct English grammar.
5. This is an individual assignment. No duplication of work will be tolerated. Any plagiarism or
collusion may result in disciplinary action.
6. Ensure that your work must be referenced in APA style.
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
SECTION A: MULTIPLE CHOICE QUESTIONS
[10 MARKS]
Answer ALL questions in this section. Each question carries ONE (1) mark.
Choose the best alternative answer.
1. The heights in centimeters of 5 students are: 165, 175, 176, 159, and 170.
The sample median and sample mean are respectively:
A. 170, 169
B. 170, 170
C. 169, 170
D. 176, 169
2. Find the value of 6! / (2! * 4!)
A. 20
B. 15
C. 1
D. 0
3. The area under a normal probability distribution curve is equal to:
A. 1
B. 2
C. 0
D. 4
Given the following frequency distribution, answer the questions 4, 5 and 6:
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
Class interval
Frequency
1-20
20
21-40
15
41-60
24
61-80
5
4. The modal class is:
A. 21-40
B. 61-80
C. 41-60
D. 1-20
5. The median class is:
A. 1-20
B. 21-40
C. 41-60
D. 61-80
6. The lower class boundary for the third class is:
A. 40.5
B. 41.5
C. 41.0
D. 50.5
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
7. Two types of estimation are:
A. point and interval
B. point and probability
C. interval and range
D. None of the above
8. The frequency distribution of the amount of rainfall in December in a certain region for a
period of 30 years is given below:
Rainfall (in cm)
Number of years
2.0 - 4.0
3
4.0 - 6.0
6
6.0 - 8.0
8
8.0 - 10.0
8
10.0 - 12.0
5
The median class is:
A.
2.0 - 4.0
B.
4.0 - 6.0
C.
6.0 - 8.0
D.
8.0 – 10.0
9. A die is rolled; find the probability of getting an even number.
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
A. 1/3
B. 1/2
C. 1/4
D. 0
10. Which of these numbers cannot be a probability?
A. 0.5
B. -0.00001
C. 0.001
D. 0
SECTION B – SHORT ANSWER TYPE QUESTIONS
[40 MARKS]
Answer ALL questions in this section.
1. “In the modern business environment, statistics is applied in different ways and in several
areas” – Explain?
(8 marks)
2. Distinguish between ‘descriptive statistics’ and ‘inferential statistics’.
(6 marks)
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
3. Explain the two types of statistical data.
(6 marks)
4. The following data represent scores of 50 students in a psychometric test.
72
72
93
70
59
78
74
65
73
80
57
67
72
57
83
76 74
56
68
67
74
76
79
72
61
72
73
76
67
49
71
53
67
65 100
83
69
61
72
68
65 51
75
68
66
77
61
64
74
75
Prepare the frequency distribution table and the frequency histogram for this data set. Use the
range 40-49, 50-59, etc
(8 marks)
5. Two dice are rolled; find the probability that the sum is:
i. equal to 1
(4 marks)
ii. equal to 4
(4 marks)
iii. less than 13
(4 marks)
SECTION C – ESSAY TYPE QUESTIONS
[50 MARKS]
Answer ALL questions in this section.
Question 1.
© BOU 2022
(25 Marks)
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
A random sample of 100 households has been selected in order to establish a price index for
housing utilities.
The following average figures have been obtained:
Prices (Pula/Unit)
Quantities
2010
2020
2010
2020
Electricity
1.97
2.09
62
68
Gas
7.90
8.60
9
10
Water
0.29
0.31
296
298
Telephone
2.40
2.50
55
58
Using 2010 as the base year, find the following.
i.
The Laspeyeres price index.
(5 marks)
ii.
The Laspeyeres quantity index.
(5 marks)
iii.
The Paasche price index.
(5 marks)
iv.
The Paasche quantity index.
(5 marks)
v.
The Fishers Quantity and Price Indexes and comment.
(5 marks)
Question 2.
(25 Marks)
The following table gives the weights, to the nearest kilogram, of randomly selected male
students of the university.
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DIPLOMA
July-December
ASSIGNMENT
BBS621 - Business Statistics
63
68
60
67
81
73
91
75
88
96
71
78
73
82
84
92
74
81
73
83
80
86
97
99
(a). Using class intervals of size 10kg, construct a frequency distribution of the above data.
(5 marks)
(USE the notation: 60-<70, 70-<80, 80-<90 for consistency)
(b). Using the grouped data, calculate the following quantities:
a. Mean
(5 marks)
b. Median
(5 marks)
c. Mode
(5 marks)
d. Variance
(5 marks)
END OF ASSIGNMENT
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