UNIVERSITY EXAMINATIONS UNIVERSITEITSEKSAMENS
U N I SA mm
F B N1 501 ( 475037} May/June 2015
BUSINESS NUMERICAL SKILLS A
Duration 2 Hours 100 Marks
FIRST DR JE SINGLETON
SECOND MRS MF IMMELMAN UNIVERSITY EXAMINATIONS UNIVERSITEITSEKSAMENS
Consider the woman in the picture:
State whether the data that each variable produces are qualitative, discrete quantitative or
Her hair is red.
To summarise the previous page:
Qualitative data are data that are not given numerically;
favourite colour, place of birth, favourite food and type of car.
Quantitative data are numerical. There are two types of quantitative data.
Discrete data can o
Bar graph versus histogram
What is the difference between a bar graph and a histogram?
There are two differences; one is in the type of data that is presented and the other is the way in which they are
Displays categorical data,
that is d
Consider the first variable that Radial examined, namely the number of kilometres driven with a set of XXX
tyres. The data are grouped into a set of intervals, with each interval of equal length. The results are listed in the
Note: The va
Presentation of data
Do you remember the tyre company, Radial? It took a sample of 80 out of the population of 2 600 sets of tyres
that were sold during the previous six months. Radial is happy that its sample is representative. The variable in
Now it is time to envisage the data to form a better idea of what is going on. Graphs and charts are great because
they communicate information visually.
Suppose Radial also asked their customers in the sample which brand of tyre they had before
On the next page you will find questions 5, 6, 7 and 8 of Assignment 04.
These four questions contribute towards you semester mark and therefore also to your final mark.
You will be able to access questions 1, 2, 3 and 4 of Assignment
Data are facts, such as values or measurements.
Data can be numbers, words, measurements, observations or even just descriptions of things.
There are two main groupings of data qualitative and quantitative. Qualitative data is characterised by
You are now ready to do an exercise to test your knowledge on presentations of data.
Do the exercise and make sure that you understand the calculations before you proceed with the next
This exercise does not contribute towards
ASSIGNMENT 04, QUESTIONS 5, 6, 7 AND 8
If you are registered for the rst semester, answer the questions for the rst semester. If you are registered
for the second semester, answer the questions for the second semester.
Submit Assignment 04 on myUnisa. The
Collection, presentation and description of data
On completion of this learning unit you should know and be able to
distinguish between qualitative and quantitative data
draw up and interpret a frequency table
Systematic sampling starts at a randomly chosen starting point in the population. Then each subsequent k-th
element is chosen.
Define the population.
Determine the desired sample size.
Obtain a list, preferably a randomised li
Now we can graphically represent the frequency table by drawing the interval lengths on a horizontal axis and
the frequencies on a vertical axis.
Number of thousands o
We might not just be interested in the absolute frequencies, but instead in how these numbers relate to each
other. In other words we might want to know the proportion of distances in each interval in order to understand
how many dist
Tutorial Letter 101/3/2015
Business Numerical Skills A
Semesters 1 and 2
Department of Decision Sciences
This tutorial letter contains important information
about your module.
Learn without limits
Alle voorgraadse studente
Hierdie studiebrief bevat belangrike inligting,
insluitend die name en kontakbesonderhede van
dosente vir alle voorgraadse modules.
Permutations and Combinations
There seems to be some confusion when to use permutations and when to use
combinations. A basic rule of thumb is to use permutations when order is important and
combinations when order is not important. The following examples
Comments about the percentage of data values that lie on either side of the
Please refer to p. 172 of the study document MO002.
Please note that the statements that are made on this page are true for very large
data sets but are only approximati
Do you remember the activity on the reordering intervals for children's clothing? From the ordered data set we
see that 5 is the smallest value and 29 is the largest.
We calculated that
Q 1 = 16, Me = 22 and Q 3 = 26.
Measures of locality: exercise
John looks at the price of a CD in ten different shops. The prices in rand he sees are:
190, 104, 135, 314, 179, 175, 170, 146, 127, 131.
The median of the data is
The mean of the data is
The mode of the data
Calculate the number of degrees for Radial's data by completing the following table:
In a data set, the cumulative frequency for a value is the total number
of scores that are less than or equal to that value.
The charts below illustrate the difference between frequency and cumulative frequency.
Both charts show score
Another way of representing data is a pie chart.
Look at this record of traffic travelling down a particular road.
Traffic survey 31 January 2012
Type of vehicle
Number of vehicles
As the manager of an insurance claims division, you have to set up performance levels.
You asked 30 of your experienced claims processing personnel to record the number of
claims that they processed during a specific week. You want