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Dms 105 Introduction To Business Statistics Question Paper
Dms 105 Introduction To Business Statistics
Course:Diploma In Business Management
Institution: Kca University question papers
Exam Year:2014
UNIVERSITY EXAMINATIONS: 2013/2014
STAGE IV ORDINARY EXAMINATION FOR THE DIPLOMA IN
BUSINESS MANAGEMENT
DMS 105 INTRODUCTION TO BUSINESS STATISTICS
DATE: AUGUST 2014
TIME: 1 1/2 Hours
INSTRUCTION: Answer any THREE questions
QUESTION ONE: (20 MARKS)
a)
State any three different uses of statistics to three different departments an organization
(3 Marks)
b)
Fromthedatabelowandusing2003 as the base year calculate:
i) Laspeyre’spriceindex (4 Marks)
ii) Paasches price index (4 Marks)
iii) Fisher’s index number (4 Marks)
2003
2004
2005
ITEM Quantity Price Quantity Price Quantity
A 2 30 3 30 5 28
B 3 15 5 20 6 25
C
c)
Price 10 4 15 8 3 6
Explain any five merits of sampling over complete enumeration
(5 Marks)
QUESTION TWO: (20 MARKS)
a)
The following are marks out, of 100, obtained by students in a Business Statistics exam.
75,55,51,42,57,45,60,47,63,53,33,65,39,82,55,64,50,25,65,75,
1
30,20,58,52,36,45,42,35,40,61,53,59,49,41,15,52,46,42,45,39,
55,65,45,63,54,48,64,35,26,18.
(i)
Make a frequency distribution from this data starting with the classes 0-9, 10-
19,....
(ii)
(5 Marks)
Using the frequency distribution above to calculate the arithmetic mean of the
data.
(iii)
b)
(5 Marks)
Calculate the standard deviation of the data (7 Marks)
Define the following terms
(i) Random sample (1 Mark)
(ii) Continuous data (1 Mark)
(iii) Index number (1 Mark)
QUESTION THREE: (20 MARKS)
(a)
(i)
Draw a cumulative percentage frequency curve from the following data.
(5 Marks)
Age 201-24 25-29 30-34 35-39 40-44 45-49 50-54 54-55
Number of 15 35 43 45 37 35 15
25
workers
(ii)
Estimate the proportion of individuals whose age is above 40.5 using the ogive
curve in (i) above
(b)
(3 Marks)
The heights of boys and girls in a college are as shown below:
Boys Girls
Number 1,686 2,269
Average height (in inches) 68 61
Variance 296 456
Calculate
2
(i) (4 Marks)
(ii)
(c)
The combined mean height of boys and girls Coefficient of variation for each group of students (4 Marks)
The following table gives the weight of some adults enrolled for a program in total
lifestyle change in weight management.
Weight (Kgs) 130 135 140 145 146 148 149 150 157
Number of persons 3 4 6 6 3 5 2 1 1
Calculate the geometric mean of the data
(4 Marks)
QUESTION FOUR: (20 MARKS)
(a)
The arithmetic mean and standard deviation of a set of 9 items are 43 and 5 respectively.
If an item of the value 43 is added to the set, find the mean and standard deviation of the
10 items.
(b)
(10 Marks)
State any four merits of secondary sources of data over primary sources of data.
(4 Marks)
(c)
With the help of appropriate examples, differentiate the four main scales of measurement
(4 Marks)
(d)
Differentiate between skewness and kurtosis
(2 Marks)
QUESTION FIVE: (20 MARKS)
(a)
Briefly explain any four merits of online administered questionnaires over face to face
administered questionnaires
(b)
(4 Marks)
Consider the following data relating to the number of days employees in a certain
organization were absent from work due to sickness in the year 2012.
Number of days absent Number of Employees
Less than 5 29
Less than 10 239
Less than 15 469
Less than 20 584
3
Less than 25 634
Less than 30 644
Less than 35 650
Less than 40 655
Calculate
(i)
The median number of absent days for this organization in the year 2012.
(5 Marks)
(ii)
The modal number of absent days for the organization in the year 2012.
(5 Marks)
(c)
Briefly explain any three differences between cluster sampling and stratified sampling.
(6 Marks)
4
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