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Calculate the values of x and y if the Mode and the modal class is 53.75 and 50-55 respectively.

Mathematics

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SECTION B (40 marks)

(a) (i) Calculate the values of xx and yy if the Mode and the modal class is 53.75 and 50-55 respectively.

  1. Use the total frequency to form an equation for xx and yy.

    The total number of candidates is 42.

    7+x+11+y+4+2=427 + x + 11 + y + 4 + 2 = 42 24+x+y=4224 + x + y = 42 x+y=42−24x + y = 42 - 24 x+y=18(∗)x + y = 18 \quad (*)

  2. Use the mode formula to form

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