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Cuea/ACD/EXM/MAY – JULY 2015 / FASSC /DVT STUDIES Page 1
ISO 9001:2008 Certified by the Kenya Bureau of Standards
THE CATHOLIC UNIVERSITY OF EASTERN AFRICA
MAIN EXAMINATION
MAY - JULY 2015 TRIMESTER
FACULTY OF ARTS AND SOCIAL SCIENCES
DEPARTMENT OF DEVELOPMENT STUDIES
REGULAR PROGRAMME
MDS 516: STATISTICAL TECHNIQUES
Date: JULY 2015 Duration: 3 Hours
INSTRUCTIONS: Answer ANY FOUR Questions
Q1. a) Distinguish between inferential and descriptive statistics giving examples.
(4 marks)
b) Given the data below
24 9 11 20 17 13 10 12 14 21 28
17 18 26 23 15 22 20 14 26 25 23
13 19 18 29 17 27 19 24 15 16 18
40 21 46 32 22 31 27
Make a grouped frequency distribution table. (11 marks)
Q2. The following table shows income of females in 1981 by highest educational
qualification.
Range of weekly income (in £)
40 - 59 5
60 - 79 7
80 - 99 7
100 - 119 18
120 - 139 23
140 - 159 14
160 - 179 10
180 - 199 16
P.O. Box 62157
00200 Nairobi - KENYA
Telephone: 891601-6
Fax: 254-20-891084
E-mail:academics@cuea.edu
A. M. E. C. E. A
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ISO 9001:2008 Certified by the Kenya Bureau of Standards
Calculate the
i Mean
ii Mode
iii Standard deviation. (15 marks)
Q3. The following data relates to the ages of policy holders in a particular insurance
scheme.
Age 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90+
No of
policy
holders
3016 6894 9229 5714 3575 1492 170 9 1
a) Find the median and quartile deviation of ages.
b) Measure the skew of the distribution. (15 marks)
Q4. For the data below
X 1 3 4 6 8 9 11 14
Y 1 2 4 4 5 7 8 9
a) Draw a scatter diagram and interpret your diagram.
b) Obtain the least square regression line of y on x and fit the line on the scatter
diagram drawn in (a) above.
c) Estimate the value of y corresponding to
X = 10
X = 5
Using your results in (b). (15 marks)
Q5. a) “Correlation does not cause causation” Discuss the meaning of this
statement. (5 marks)
b) The data below relates age at official retirement to age at death for nine
males following a research on relationship between official retirement age
and age death.
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ISO 9001:2008 Certified by the Kenya Bureau of Standards
c)
Age at retirement 57 62 60 57 65 60 58 62 56
Age at death 71 70 66 70 69 67 59 63 70
Calculate the Pearson correlation coefficient and comment on your
results. (10 marks)
Q6. Discuss fully the procedure for testing a hypothesis using any distribution.
(15 marks)
Important Formulae
Rxy =
2 2
2 2
n x x n y y
n x y x y
b =
2 2
n x x
n xy x y
c =
n
y
-
n
bx
*END*