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section b. MNO2602 ALL CALCULATIONS AND GRAPHS

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SECTION B Answers with graphs and calculations for June assignment 3

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  • June 12, 2022
  • 8
  • 2021/2022
  • Exam (elaborations)
  • Questions & answers

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By: joubertjeandre • 2 year ago

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QUESTION 2

2.1 The following dataset contains the number of defects found on each of 12
randomly chosen bicycle frames manufactured by Luigi Bikes Inc. over a period of
two weeks:

5 7 15 9

19 8 16 16

9 5 7 10




The formula for calculating the number of classes for a histogram is as follows:
k≥log12/log2 where: n = number of data values k = the number of classes

Since there are 12 observations in the data set, we have n = 12. Therefore:
k≥log12/log2 k=4 Now, with 4 classes, the class width is:

=Range /k

= (16-4)/4 =3

The frequency distribution is as follows:

Class Frequency

4-7 4

8-11 4

12-15 1

16-19 3

, Histogram
4.5
4
3.5
3
FREQUENCY




2.5
2
1.5
1
0.5
0
1 2 3 4
CLASS


Class Frequency




2.2 The management of Thembisa post office is concerned about the number of
customer complaints. They decide to use Pareto analysis as a first step in solving
this problem. The necessary data were collected, and the results are shown below:

Draw a Pareto chart and point out how it reflects the 80/20 principle. (4) [Hint: Use
the codes given in the table to represent the causes in the chart].

First, we order the causes according to their frequency, from largest to smallest, and
then construct a frequency table containing the frequencies, percentages, and
cumulative percentages.

Code Description Frequency Percentag Cumulative
e percentage

D Unreliable international post 62 41.3 41.3

I Poor general customer 56 37.3 78.6
service

C Inconsistent delivery times 10 6.7 85.3

B Unfriendly teller assistant 8 5.3 90.6

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