Winter 2010 Tech Maths 220 Exam Document, Cork Institute of Technology, Exams of Mathematics

Download Winter 2010 Tech Maths 220 Exam Document, Cork Institute of Technology and more Exams Mathematics in PDF only on Docsity! CORK INSTITUTE OF TECHNOLOGY INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ Semester 1 Examinations 2010/11 Module Title: Technological Maths 220 Module Code: MATH 6041 School: School of Electronic Engineering Programme Title: Bachelor of Engineering in Electronic Engineering – Year 2 Programme Code: EELXE_7_Y2 EELES_8_Y2 External Examiner(s): Dr. P. Kirwan Internal Examiner(s): Ms. J. English Instructions: Answer 3 Questions Duration: 2 HOURS Sitting: Winter 2010 Requirements for this examination: Mathematics Tables, graph paper. Note to Candidates: Please check the Programme Title and the Module Title to ensure that you are attempting the correct examination. If in doubt please contact an Invigilator. Q1. (a) A travel company surveyed a number of customers to determine the total cost of their annual summer holiday. The data was collated and tabulated as follows: (i) Calculate the mean, x , and the standard deviation ,s, of the distribution. {If using the assumed mean method, use €13.50 as your assumed mean} [10] (ii) Establish a cumulative frequency table and hence plot the cumulative frequency curve (ogive). [8] (iii) Use your graph to estimate the number of customers in the range x s and the number of customers spending more than the mean cost. [5] (b) Determine the five number summary for the data below. Create a boxplot for the data. Comment on the result. 81,67,56,67,87,73,49,53,67,81,92,62,81,59,78,79,84,62,71 [7] Cost (in €00) No. of Customers At least 0 but less than 5 5 At least 5 but less than 10 11 At least 10 but less than 12 27 At least 12 but less than 13 32 At least 13 but less than 14 39 At least 14 but less than 15 27 At least 15 but less than 17 13 At least 17 but less than 20 6