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Dpba 011: Quantitative Methods Question Paper

Dpba 011: Quantitative Methods

Course:Quantitative Methods

Institution: Kenya Methodist University question papers

Exam Year:2008

KENYA METHODIST UNIVERSITY

END OF SECOND TRIMESTER 2008 EXAMINATIONS

FACULTY : BUSINESS AND MANAGEMENT STUDIES
DEPARTEMENT : BUSINESS ADMINISTRATION
COURSE CODE : DPBA 011:
COURSE TITLE : QUANTITATIVE METHODS
TIME : 2 HOURS

INSTRUCTIONS:
• Answer any THREE questions from Section A and any other TWO questions from Section B.

SECTION A

Question 1
(a) Define the following terms
(i) Range (1 mark)
(ii) Mode (1 mark)
(iii) Median (1 mark)

(b) (i) Explain two types of data (3 marks)
(ii) Explain two ways of classifying data
(iii) State any three ways of representing data (4 marks)

Question 2
A soft drink company carried research over one hundred days resort town in order to decide whether to promote temperature. They came up with the following data:

Temperature (t °c) Frequency (f)
10 to less than 15 5
15 to less than 20 17
20 to less than 25 25
25 to less than 30 26
30 to less than 35 19
35 to less than 40 8

(i) Using the data above plot the cumulative frequency curve (the ogive) and use it to estimate the median. (10 marks)

(ii) Giving reasons explain what decision you would expect the sale manager to make given that a drink should be served cold if the median lies in the middle class or above. (5 marks)
SECTION B

Question 3
Calculate the mean, variance and standard deviation for the sample data below.
Class Frequency
1100 – 1200 5
1200 – 1300 9
1300 – 1400 14
1400 – 1500 15
1500 – 1600 7 (10 marks)

Question 4
The managers of a company with ten operating plants of similar size producing small components have observed the following pattern of expenditure on inspection and defective parts delivered to the customer.
Observation inspection expenditure Defective Parts per Number per 1,000 units (sh) 1000 units delivered
1 25 50
2 30 35
3 15 60
4 75 15
5 40 46
6 65 20
7 45 28
8 24 45
9 35 45
10 70 022

They are wondering how strong the relationship is between inspection expenditure and the number of faulty items delivered. Help them achieve their objectives by establishing the level of correlation and explaining its meaning. (15 marks)

Question 5
(a) Calculate the 3 and 6 monthly averages of the following data.
Month sales
January 1200
February 1280
March 1310
April 1270
May 1190
June 1290
July 1410
August 1360
September 1430
October 1280
November 1410
December 1390

(b) Calculate the forecast errors for the 3 and 6 monthly moving averages calculated in (a) above (15 marks)

Dpba 011: Quantitative Methods Question Paper

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