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Further Mathematics Paper 2, Nov/Dec. 2009  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Main
General Comments
Weakness/Remedies
Strength
Question 14

  1. The age distribution of final year students in a polytechnic is shown in the table below:


    Age (yrs)

    20 - 24

    25 - 29

    30 - 34

    35 - 39

    40 - 44

    Number of students

    40

    45

    36

    14

    5

              Calculate, correct to one decimal place, the

    • mean age
    • standard deviation of the ages.
_____________________________________________________________________________________________________
Observation

The question was reportedly popular among the candidates and they performed very well in it.

They were able to obtain the table


Class mark
x

 

f

 

Fx

 

fx2

22

40

880

19360

27

45

1215

32805

32

36

1152

36864

37

14

518

19166

42

5

210

8820

 

Sf = 140

Sfx = 3975

Sfx2 = 117015

They also computed the mean as   =    =  28.4.
The standard deviation was  =    = 5.4

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