General Mathematics Paper 2, May/June. 2010
 Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
Weakness/Remedies
Strength

Question 12

The frequency distribution of the weight of 100 participants in a high jump competition is as
shown below:

 Weight (kg) 20-29 30 - 39 40 - 49 SO - 59 60 - 69 70-79 Number of pa rtici pa nts 10 18 22 25 16 9

(a) Construct the cumulative frequency table.
(b) Draw the cumulative frequency curve.
(c)   From the curve, estimate the:
(i)   median;
(ii) semi-interquartile range;
(iii) probability that a participant chosen at random weighs at least 60 kg.

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Observation

This question was reported to be attempted by majority of the candidates. According to the report, candidates' performance in this question was fair. Majority of them were reported not to have read from their Ogives correctly. Others did not draw the Ogive using class boundaries.
The median was 49.5 while the first quartile(Ql) was 37.8 and the third Quartile (~)59.5.
Hence, the semi-interquartile range Q1-Q1 = 59.5 - 32.8 = 10.85 ± 1.
2                     2
Number of participants who weighed at least 60kg = 25. Therefore probability of choosing a
participant who weighed at least 60kg = 25= -.1 .
100     4