UNIVERSITY OF ENERGY AND NATURAL RESOURCES, SUNYANI, GHANA
SCHOOL OF SCIENCES
DEPARTMENT OF MATHEMATICS AND STATISTICS
LEVEL 100 END OF SECOND SEMESTER TAKE HOME EXAMINATIONS 2019/2020
Bachelor of Science (Hospitality Management, Natural Resource Management and
Fire and Disaster Management ), Diploma Natural Resource Management
STAT 100: DESCRIPTIVE STATISTICS
JULY, 2020
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Question 1
The data shown are the total compensation (in millions of cedis) for the 70 workers in state
insurance company (SIC)
20.1
25.9
26.8
35.2
17.9
17.3
23.7
37.6
35.4
21.4 16.9
20.4
23.2
16.8
19.3
25.0
19.1
41.7
16.9
22.9
35.2
24.0
18.2
18.2
18.0
24.3
16.5
29.7
20.1
17.2
36.8
47.7
25.5
21.4
16.9
20.7
23.2
16.8
31.7
38.5
17.4
38.6
25.2
30.1
25.9
26.8
35.2
35.4
31.7
17.0
18.0
41.6
19.8
29.1
24.0
31.4
19.1
25.5
36.8
47.7
25.1
21.4
16.9
30.0
17.2
45.2
24.0
24.1
25.4
17.2
(i) Estimate the number of classes and class width using the Surges’ Rule and corrected to one
decimal place
(ii) Construct a grouped frequency distribution for the given data.
(iii) Compute the mean, median, mode and the standard deviation.
(a) Draw a histogram for the distribution and use it to find the mode.
(b) Plot the cumulative frequency curve
(iv) Compute the coefficients of variation, skewness and kurtosis
SUBMISSION DATE : 10 AUGUST, 2020
TIME : 8 AM -12PM