Kenya Methodist University
SCHOOL OF BUSINESS AND ECONOMICS
Department of Business Administration
1st Trimester, 2021
STAT 113 : Business Statistics
Instructor : Dr Wilson Muema (PhD)
Instructions
1. Answer All Questions
2. Assignments are due before 1st March,2021
Question one
The profit in millions of 60 firms operating in Nairobi for the year ended 31 st December
2016 was as follows:
41 17 83 63 54 92 60 58 70 06 67 82
33 44 57 49 34 73 54 63 36 52 32 75
60 33 09 72 28 30 42 93 43 80 03 32
57 67 24 64 63 11 35 82 10 23 00 41
60 32 72 52 92 88 62 55 60 33 40 47
Required
a) Prepare a complete grouped frequency distribution table which should have the
following columns (class, tally column, frequency, mid points, cumulative
frequency). Strictly use exclusive method of classification
b) Use the data in (a) above to plot a histogram and a cumulative frequency curve
c) Using the cumulative frequency curve obtained in (b) above, determine the median,
Q1 and Q3 where Q1 and Q3 are 1st and 3rd quartiles respectively.
d) Using data in a, and by applying the appropriate formulae, work out the following
measures of central tendency:
i) Modal profit
ii) Median
iii) Mean
e) Use your graph in (b) above and the measure of central tendency obtained in (d) to
describe the shape of the distribution of the scores and comment on the overall
financial performance of the firms.
f) Using your data in (b) work out the following measures of variability.
i) Range in profit
ii) Mean deviation
iii) Variance
iv) Standard deviation
SCHOOL OF BUSINESS AND ECONOMICS
Department of Business Administration
1st Trimester, 2021
STAT 113 : Business Statistics
Instructor : Dr Wilson Muema (PhD)
Instructions
1. Answer All Questions
2. Assignments are due before 1st March,2021
Question one
The profit in millions of 60 firms operating in Nairobi for the year ended 31 st December
2016 was as follows:
41 17 83 63 54 92 60 58 70 06 67 82
33 44 57 49 34 73 54 63 36 52 32 75
60 33 09 72 28 30 42 93 43 80 03 32
57 67 24 64 63 11 35 82 10 23 00 41
60 32 72 52 92 88 62 55 60 33 40 47
Required
a) Prepare a complete grouped frequency distribution table which should have the
following columns (class, tally column, frequency, mid points, cumulative
frequency). Strictly use exclusive method of classification
b) Use the data in (a) above to plot a histogram and a cumulative frequency curve
c) Using the cumulative frequency curve obtained in (b) above, determine the median,
Q1 and Q3 where Q1 and Q3 are 1st and 3rd quartiles respectively.
d) Using data in a, and by applying the appropriate formulae, work out the following
measures of central tendency:
i) Modal profit
ii) Median
iii) Mean
e) Use your graph in (b) above and the measure of central tendency obtained in (d) to
describe the shape of the distribution of the scores and comment on the overall
financial performance of the firms.
f) Using your data in (b) work out the following measures of variability.
i) Range in profit
ii) Mean deviation
iii) Variance
iv) Standard deviation
