4MA1/2HR Jun 2022, Question 3: Mean, Median, Mode and Range
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Four friends' heights are given: Alberto 158 cm, Bill 175 cm, Candela taller than Diana, median 160 cm, range 21 cm. Find Candela's and Diana's heights.
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Solution · 3 marks
- 1(158 + C) / 2 = 160
- 2158 + C = 320
- 3C = 320 − 158
- 4C = 162
- 5Range = 21, so maximum − minimum = 21
- 6Maximum height is 175 (Bill)
- 7D = 175 − 21
- 8D = 154
- 9Candela > Diana: 162 > 154, correct
AnswerCandela 162 Diana 154 or 162, 154
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