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Further Mathematics Paper 2, May/June. 2008  
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Questions: 1 2 3 4 5 6 7 8 9 10111213 141516 17 18 Main
General Comments
Weakness/Remedies
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Question 15

(a)         Five (5) female and seven (7) male teachers applied for 4 vacancies in a Junior High School. The teachers are equally qualified. Find the number of ways of employing 4 teachers if

(i) There is no restriction;

(ii) at least 2 of them are females.(b)        The table shows the positions awarded to 7 contestants by Judges X and Y in a competition.

Contestant

P

Q

*R

5

T

U

V

Judge X

2

7

1

3

6

5

4

Judge Y

4

6

2

3

7

1

5

            (i)      Calculate, correct to one decimal place, the Spearman's rank correlation coefficient.
            (ii)     Interpret your answer in (b){i) above.

_____________________________________________________________________________________________________
Observation

The (a) part of the question was handled satisfactorily by the few candidates who attempted it. More candidates attempted part (b) than part (a). The performance of candidates could be described as fair. In the (b) part, the formula for the rank correlation co-efficient was however wrongly written by some candidates as

1 - 62:d2 instead of 1- 62:d2  
n2(n -1)                   n2(n - 1)   
                                                             

 

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