0580/22 Feb/Mar 2021, Question 17: Averages from Frequency Tables
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
A frequency table gives book counts 5 to 10 with frequencies 4, 5, x, 11, 7, 5 and mean 7.6. Find x.
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Solution · 3 marks
- 1Σfx = 5×4 + 6×5 + 7x + 8×11 + 9×7 + 10×5 = 251 + 7x
- 2Σf = 32 + x
- 3(251 + 7x) ÷ (32 + x) = 7.6
- 4251 + 7x = 243.2 + 7.6x
- 57.8 = 0.6x
- 6x = 13
Answer13
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