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WAEC Mathematics 2017 Theory — Question 14

Question 14 of 25 from the West African Examinations Council (WAEC) Mathematics 2017 Theory paper, with the correct answer and a full explanation.

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8(a) The table shows the distribution of marks scored by some students in a test (Marks: m+2, m-1, 2m-3, m+5, 3m-4 with corresponding frequencies). If the mean mark is 3 6/23, find the value of m.

Model answer

Mean = Σfx/Σf = 3 6/23 = 75/23. Setting up the equation with the given frequency distribution and cross-multiplying: 75(8m-1) = 23(28m-9). 600m-75=644m-207. -44m=-132. m=3.

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