? Pearson 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. Page 1 of 3 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 Page 2 of 3 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. Page 3 of 3 Author: VQAM Approved By: VQAM lead Version: 1.2 DCL1 Public Last Updated: 8 July 2022

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? Pearson 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 Engineerin