4024/12 Oct/Nov 2024, Question 18: Finding the Median and Quartiles
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
From a cumulative frequency graph of 60 onion masses in grams, estimate the interquartile range and find the mass threshold N above which 24 onions are large.
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Part (a) · 2 marks
Use the cumulative frequency curve to estimate the interquartile range of the onion masses.
- 1LQ at cumulative frequency 1/4 × 60 = 15: LQ = 205 g
- 2UQ at cumulative frequency 3/4 × 60 = 45: UQ = 300 g
- 3IQR = 300 − 205 = 95 g
Answer95
Part (b) · 2 marks
Given 24 of the 60 onions are large, use the graph to find the mass N grams.
- 1Onions lighter than N: 60 − 24 = 36
- 2Read across from cumulative frequency 36 to the curve: N = 260
Answer260
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Also searched as: 4024/12/O/N/24 · 4024_w24_qp_12 · 4024 w24 12 · question 18.
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