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PAN AFRICA CHRISTIAN UNIVERSITY
EXAMINATION FOR MASTER OF ARTS IN MARRIAGE AND
FAMILY THERAPY
MAY-JULY 2015
CAMPUS: ROYSAMBU- EVENING
DEPARTMENT: COUNSELING/PSYCHOLOGY
COURSE CODE: MFT 601
COURSE TITLE: STATISTICS
EXAM DATE: Monday, 27th July 2015
TIME: 5.30pm – 8.30pm
INSTRUCTIONS
 Read all questions carefully before attempting.
 Answer ALL Questions in SECTIONA and any other one (1) question in
Section B
 Write your student number on the answer booklet provided.
SECTION A: Attempt all the questions in this section (Total 40 marks)
Question One:
i) Which of the following measures of central tendency tends to be most influenced by an
extreme score?
(1 Mark)
a. Median
b. Mode
c. Mean
ii) In a frequency distribution of 250 scores, the mean is reported as 78 and the median as 65.One
would expect this distribution to be
(1 Mark)
a. Positively skewed.
b. Negatively skewed.
d. Normal.
iii) The measure of central tendency which is sensitive to extreme score on the higher or lower
end of a distribution is the
(1 Mark)
a. Median.
b. Mean.
c. Mode.
d. All of the above
e. None of the above
iv) Which of the following is not a measure of central tendency?
a. Mean
b. Median
(1 Mark)
d. Standard deviation
e. None of these
c. Mode
v)
In popular usage, the term average may refer to:
a. The mean
b. The median
(1 Mark)
c. The mode
d. None of these
e. All of these
vi) The mean is a measure of:
(1 Mark)
a. Variability.
b. Position.
c. Skewness.
d. Central tendency.
e. Symmetry.
Question Two
The following data represent scores of 50 students in a calculus test.
72
72
93
70
59
78
74
65
73
80
57
67
72
57
83
76
74
56
68
67
74
76
79
72
61
72
73
76
67
49
71
53
67
65 100
83
69
61
72
68
65
51
75
68
66
77
61
64
7
75
a. Compute the sample mean, sample median, sample range sample variance and sample
standard deviation.
(10 Marks)
b. Does the data set represent a sample or a population. If it is a sample, describe the
population from which it has been drawn.
(10 Marks)
Question Three
Two children (child A and child B) are placed under discipline by parent using time out. The
Mean time of each child’s time out in minutes are as follows:
Child A 30 min
Child B 25 min
Standard deviation (minutes)
A6
B4
a. Which worker appears to be more consistent in the time he requires to complete the job?
Explain.
b. Which worker appears to be faster in completing the job?
Explain.
(14 Marks)
SECTION B: Attempt any one question (20 marks)
Question Four:
The data given below represent the income and the expenditure of various families in particular
area
Income (X) :
Expenditure (Y):
50 45 75 20
60
26 24 30 5 25
Required
a. Draw the scattered diagram and decide on the nature of correlation
b. Using product moment compute the correlation coefficient
c. Estimate the regression equation and estimate expenditure for a family with an income of
30
(20 marks)
Question Five
a) Explain the following sampling techniques
i.
ii.
iii.
iv.
Simple random sampling
Stratified sampling
Systematic sampling
Convenience sampling
b) The average score a class with a sample of 40 student was found to be 70 with a standard
deviation of 20. Estimate the interval of the population score at 95 confidence interval ©The
manager of an organization claim that the mean wage of 200 workers is sh. 500. A sample of 60
workers was taken and mean wage was found to be 600 with a standard deviation of 45. Test the
claim of the manager at 5 % level of significant.
(20 marks)