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Question 16 — IGCSE 0580 Oct/Nov 2025 Paper 42

Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Statistics · Frequency density. Worth 8 marks.

StatisticsFrequency density8 marksExtendedCalculatorPaper 42Oct/Nov 2025
Open in interactive question bank →IGCSE Mathematics 0580 Oct/Nov 2025 Paper 42 Question 16 – Statistics, Frequency density, 8 marks

Question text

16 The histogram shows information about the masses of some coconuts. The masses are classified into four categories A, B, C and D. 200 150 Frequency density 100 CC 50 BB DD AA 0 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 Mass (kg) (a) Show that there are 10 coconuts in category D. [1] (b) Two of the coconuts from those in category C and category D are chosen at random. Find the probability that both are from category D. ................................................. [3] (c) Calculate an estimate of the mean mass of the coconuts. ............................................ kg [4] (cid:300)(cid:209)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:184)(cid:256)(cid:215) © UCLES 2025 (cid:300)(cid:260)(cid:188)(cid:241)(cid:212)(cid:289)(cid:276)(cid:267)(cid:208)(cid:240)(cid:243)(cid:283)(cid:259)(cid:266)(cid:269)(cid:258)(cid:265)(cid:258) 0580/42/O/N/25 (cid:293)(cid:245)(cid:213)(cid:277)(cid:245)(cid:277)(cid:261)(cid:213)(cid:293)(cid:261)(cid:197)(cid:197)(cid:261)(cid:213)(cid:293)(cid:277)(cid:293)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000013 * 13 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44) NIGRAM DFD

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