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Question 14
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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.
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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 |
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Sf = 140 |
Sfx = 3975 |
Sfx2 = 117015 |
They also computed the mean as  =  = 28.4.
The standard deviation was  =  = 5.4 |
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