4MA1/2H Jan 2019, Question 13: Averages from Frequency Tables
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
A frequency table shows mice counts 5, 6, 7, 8, 9 with frequencies 4, 13, 16, x, 6; the mean is 7. Find x.
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Solution · 4 marks
- 1Total frequency: 4 + 13 + 16 + x + 6 = 39 + x
- 2Total mice: 20 + 78 + 112 + 8x + 54 = 264 + 8x
- 3Mean is 7, so (264 + 8x) ÷ (39 + x) = 7
- 4264 + 8x = 273 + 7x
- 5x = 273 − 264 = 9
Answer9
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