Week 14 Seminar Questions Central Tendency PDF

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Week 14 Seminar Questions Central Tendency...

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BFE0017 Homework Central Tendency January 1st 2018 For each of the questions/tasks below you should come to class prepared to discuss what you did to try and fulfil what is requested of you. I do not necessarily expect you to cover everything related to every task every week but I do expect you to come to class with some evidence of what you have done in the week. If you have problems which prevent you doing this work then you can come and see me in my office hours, there is no need to book. Alternatively you can email (r.o’[email protected]) from your unimail account. If there is a general issue affecting many students then I will make an announcement via the unilearn site for the module. 1. In the following table are the scores of 13 students from a test i scorei 1 53 2 86 3 53 4 47 5 43 6 7 7 53 8 95 9 66 10 85 11 86 12 67 13 32 For these scores perform the following, write out the equations you use as part of your answer: (a) A count of how many students passed the test (the pass mark for this test is 50) (b) What is the range of marks?

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(c) What is the arithmetic mean of the marks? (d) What is the geometric mean of the marks? (e) What is the Median Score? (f) What is the mode of the scores? (g) What would you say the average mark is for this group of students? 2. Using the arithmetic mean of scores from above show that n X

(xi − x ¯) = 0

(1)

i=1

(work to 2 decimal places) 3. Can you prove the above property in question 4 algebraically (without numbers)? 4. Which of these expressions will not generate the arithmetic mean of a set of numbers? Pn (a) n1 i=1 xi Pn 1 (b) i=1 n xi Pn (c) n−1 i=1 xi Pn 2 (d) n−2 ( i=1 xi ) P 1 n (e) n−2 ( i=1 xi )

2...