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Statistics For Economists 1 Cat 3 Question Paper
Statistics For Economists 1 Cat 3
Course:Bachelor Of Economics And Finance
Institution: Kenyatta University question papers
Exam Year:2012
CAT3
1.In a 1000 small scale industrial projects in the jua kali sector, the profit on investment ranged from 0 to 30% no unit sustaining loss. The median rate of profit was 15% and upper quartile was 20% the rate of profit distribution was as follows.
% rate of profit 0-5 5-10 10-15 15-20 20-25 25-30
No of units 50 150 A B C 100
I.The values of A,B and C (6 Marks)
II.The mode of distribution (3 marks)
III.The proportion of the industrial units whose rate of profit does not exceed the modal value calculated in part II above (5 marks)
IV.Compute pearson coefficient of skewness and comment (4 marks)
V.How can you comment on peakedness of above distribution (4 marks)
b)according to the prudent economist journal,40% of all high school graduates works during the long holiday to earn money for pocket expenditure after joining campus.if 18 such graduates are selected at random, what is the probability that:
I.12 have holiday jobs? (3 marks)
II.None works (3 marks)
III.All works (2 marks)
C)Identify the characteristics of a good measure of central tendency (4 marks)
2)The price earnings ratio for 30 different stocks on the New York Stock Exchange is as follows
4.8, 5.2, 7.6, 5.7, 6.2, 6.6, 7.5, 8.0, 9.0, 7.7,
3.7, 7.3, 6. 7, 7.7, 8.2, 9.2, 8.3, 7.3, 8.2, 6.5,
5.4, 9.3, 10.0, 7.3, 8.2, 9.7, 8.4, 4.7, 7.4, 8.3
(a)According to Chebyshev’s Theorem ,at least how many price earnings ratios lies within two standard deviations of the mean?(3marks)
(b)How many actually do lie within two standard deviations of the mean? (3marks)
3) In 500 small scale industrial projects in the Jua Kali sector, the profit on investment ranged from 0 to 30%, no unit sustaining loss. The median rate of profit was 15% and upper quartile was 20%.The rate of profit distribution is as follows.
%rate of profit No .of units
0-5 25
5-10 75
10-15 x
15-20 y
20-25 z
25-30 50
Required:
a)The values of x, y &z.(6 marks)
b)The mode of the distribution and interpret its meaning(3 marks)
c)The proportion of the industrial units whose rate of profit does not exceed the modal value calculated in part (b) above (4 marks).
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