Mathematics · Oct / Nov 2025 · Paper 42 · Question 16
0580
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The histogram shows information about the masses of some coconuts. The masses are classified into four categories A, Ñ, C and ė. 0.9 1.0 1.1 1.2 1.3 Mass (kg) Frequency density 1.4 1.5 1.6 50 0 100 150 200 A Ñ C ė
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16(a)[1]
(1.6 – 1.35) oe × 40 [= 10] [1]
16(b)[3]
5 39 oe [3]
M2 for 10 9 × oe + × + × 10 170 0.1 9 170 0.1 10 9 9 10
or M1 for or or or oe + + + + 10 17 10 16 10 17 10 16 seen or 10 9 × oe with k > 10 and an integer − k k 1 − m m 1 or × oe with 0 < m < 27 and an integer 10 17 + 10 16 +
16(c)[4]
1.26 or 1.259… nfww [4]
M1 for frequencies 6, 15, 17 soi
M1 for midpoints soi (1, 1.175, 1.3, 1.475)
M1 for use of their Σfm ‣ their Σf with m in correct interval including both boundaries
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