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BTEC Assignment Brief
Qualification
Unit or Component
number and title
Learning aim(s)
(For NQF/RQF only)
Assignment title
Assessor
Pearson BTEC Level 3 Award in Advanced Manufacturing Engineering (Development Technical Knowledge) -
601/9053/X
Pearson BTEC Level 3 Diploma in Advanced Manufacturing Engineering (Development Technical Knowledge) -
601/9054/1
Pearson BTEC Level 3 Extended Diploma in Advanced Manufacturing Engineering (Development Technical
Knowledge) 601/9060/7
Unit 3: Mathematics for Engineering Technicians
AS3: Be able to use statistical methods to display data
Statistical Methods
Hand out date
Hand in deadline
Vocational Scenario
or Context
Task 1
You are an engineer trainee at a start-up design and analysis company. In order for you
to join an analysis team, your line manager requires you to demonstrate your
competence in finding solutions to problems involving application of mathematical
techniques to solve engineering problems.
As an apprentice software engineer you have been asked to collect data regarding the
number of employees and job roles in a company and draw up a table to record the
following information;
i)
ii)
iii)
iv)
job role,
number of employees,
percentage of employees
angle used to construct a pie chart for each job role.
Using the data in the table construct:
a) A pie chart showing job role and percentage of employees, and
b) A horizontal bar chart showing job role and number of employees.
Task 2
Show the method of calculating the percentage of employees and the angle in degrees
used for the pie chart.
As a quality assurance engineer, you have been tasked with checking the diameters of a
batch of electric motor shafts for compliance.
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Author: VQAM Approved By: VQAM lead Version: 1.2 DCL1 Public Last Updated: 8 July 2022 P Pearson
Using suitable measuring equipment inspect and measure the shafts then record the
data in an appropriate table.
From the data:
a) Identify and state the lower limit of the data
b) Identify and state the upper limit of the data
c) Calculate the range of the data
d) Draw up a frequency distribution
e) Produce a histogram
f)
Determine the mean, median and mode
Task 3
Data from individualised tables.
As an engineering quality manager, you have been asked to produce a graphical
presentation of a production run of Resistors. The product has been produced in
batches of 1000 for an electronics company over the last two years. The number of
batches produced each week is shown in the table below.
Data from individualised tables.
Use the data in the table to:
a) Draw up a frequency distribution, and a cumulative frequency distribution
using 7 or 8 classes showing how you obtained the class interval.
b) Produce a histogram and from it determine the mode and mean value.
c) Produce an ogive and use it to determine the second quartile value, i.e. the
median.
d) Draw vertical lines on the histogram to show the relative positions of the
mean, median and mode.
e) Complete the table with your three calculated values and match the
definitions A, B, C and the explanations D, E and F with the three measures of
central tendency.
A
This is the value which occurs the most often
B
Is the sum of all the values in the data set divided by the total number of
values in the data set
C
This is the value which lies halfway along the data set
D
Half of all the batches produced lay above this value
E
F
The highest number of batches produced on a weekly basis at this value
The average number of batches produced over the two years
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Author: VQAM Approved By: VQAM lead Version: 1.2 DCL1 Public
Last Updated: 8 July 2022 P Pearson
Measure of
Central
tendency
Mean
Median
Mode
Definition
Calculated value
(A, B or C)
Explanation (D, E
or F)
Sources of information
to support you with this
Assignment
Text books
Bird J - Engineering Mathematics (Routledge, 2014) ISBN 9780415662802
Greer A and Taylor G W - BTEC National Further Mathematics for Technicians (Nelson
Thornes, 2005) ISBN 9780748794102
Tooley M and Dingle L - BTEC National Engineering (Routledge, 2010) ISBN
9780123822024
https://www.mathsisfun.com/definitions/power-series.html
https://www.mathcentre.ac.uk/topics/
Other assessment
materials attached to
this Assignment Brief
e.g. work sheets, risk assessments, case study
FOR L1/2 FIRSTS ONLY: If you have not achieved the Level 2 criteria, your work will be assessed to
determine if the following Level 1 criteria have been met.
Unit/Criteria
reference
To achieve the criteria, you must show that you are able to:
P8
P9
Collect data and produce statistical diagrams, histograms, and frequency curves
Determine the mean, median and mode for two statistical problems.
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Author: VQAM Approved By: VQAM lead Version: 1.2 DCL1 Public Last Updated: 8 July 2022
