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Mathematics 2010 WAEC Past Questions

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61

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 50 - 59 60 - 69 70 - 79

Number of 

Participants

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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62

(a) The third term of a Geometric Progression (G.P) is 24 and its seventh term is \(4\frac{20}{27}\). Find its first term.

(b) Given that y varies directly as x and inversely as the square of z. If y = 4, when x = 3 and z = 1, find y when x = 3 and z = 2.

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