4MA1/1H Jan 2021, Question 11: Finding the Median and Quartiles
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Use a cumulative frequency graph for 90 bags of sweets to estimate the median weight, then find the weight threshold d for large bags sold at 3.75 euros each totalling 93.75 euros.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 2 marks
Estimate the median weight of the 90 bags from the cumulative frequency graph.
- 1The median is the middle bag: 90 ÷ 2 = 45.
- 2Go across from cumulative frequency 45 to the curve, then down.
- 3Read off the weight: 146
Answer146
Part (b) · 3 marks
Given large bags weigh more than d grams and sell at 3.75 euros each for 93.75 euros total, find d.
- 193.75 / 3.75 = 25
- 290 − 25 = 65
- 3Find weight corresponding to cumulative frequency 65 on the graph
- 4Read off the corresponding weight: 151
Answer151
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