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NECO Mathematics 2007 Theory — Question 11

Question 11 of 50 from the National Examinations Council (NECO) Mathematics 2007 Theory paper, with the correct answer and a full explanation.

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11. Using Table 2.3 (cumulative frequency data), construct the cumulative frequency table and draw the cumulative frequency curve (ogive). Use the curve to find: i. Median ii. 70th percentile iii. Determine the mode of the distribution. (12 marks)

Model answer

Constructing the cumulative frequency table by successively adding up the class frequencies, then plotting the cumulative frequency against the upper class boundaries produces the ogive. Reading from the ogive (per the source's worked graph): i. Median ~= 58.59. ii. 70th percentile ~= 63.94. iii. Mode (read from the corresponding frequency distribution) ~= 57.5.

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