Dms 201: Business Statistics 1 Question Paper
Dms 201: Business Statistics 1
Course:Business Statistics
Institution: University Of Nairobi question papers
Exam Year:2017
SCHOOL OF BUSINESS
DEPARTMENT OF MANAGEMENT SCIENCE
DMS 201: Business Statistics 1
th
DUE DATE: 4 May, 2017
______________________________________________________________________
Question 1
In a study to analyse performance in a 2012 examination series the following scores in a
percentage were compiled for a sample of 100 candidates.
42,51,52,53,61,62,63,64,71,72,81,46,53,54,55,63,64,65,66,73,74,82,48,57,58,59,67,68,69,77,78,
87,43,54,56,64,65,66,67,74,75,84,47,52,53,54,62,63,64,65,72,73,82,45,56,57,58,66,67,68,69,76,
77,86,44,55,56,57,65,66,67,75,76,85,49,50,51,52,60,61,62,70,71,51,52,53,61,62,63,71,72,58,59,
57,68,69,67,78,79,80
a) Arrange the data in equal classes of size 10 starting from 40 percent.
b) Using an ogive for the data, find
i) The approximate percentage of the candidates who passed the examination if the pass
mark was 62.5 percent.
ii) The pass marks if 90 percent of the candidate passed examination.
c) Verify whether it would be appropriate to use the properties of normal probability
distribution in analyzing the data.
Question 2
Two brands of tyres were tested for their life and the following results were obtained:
Life (in months)
20-25
25-30
30-35
35-40
40-45
No. of tyres ‘X’
1
22
64
10
3
No. of tyres ‘Y’
3
21
74
1
1
Required:
i. Compute the means of the two brands of tyres
ii. Compute the standard deviations of the two brands of tyres
iii. If consistency is the criterion, which brand is preferable?
Question 3
a)
The School of Business (SOB) careers coordinator has been commissioned by the SOB
Board to analyze the starting monthly salaries for freshly employed Bcom graduates. The
coordinator selected a random sample of starting monthly salaries of recently freshly
employed Bcom. graduates and obtained the following data:-
Salary (Ksh 000)
No. of graduates
i)
15-24
5
25-34
10
35-44
15
45-54
30
55-64
20
65-74
15
75-84
5
Suppose salaries for freshly employed graduates are classified as “poor” and
“good” when they fall below Kshs.42, 000 and above Kshs.62, 000 respectively,otherwise as “normal”. What proportion of freshly employed graduates would be
expected to fall in each salary category?
(ii)
Verify whether the coordinator should use normal curve properties for further
analysis of the data.
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