Mathematics · Oct / Nov 2022 · Paper 42 · Question 3
0580
As printed in the paper
The question as text
Kai and Ann carry out a survey on the distances travelled, in kilometres, by 200 cars. Kai completes this frequency table for the data collected. Distance (d km) d 80 100 1 G d 100 150 1 G d 150 200 1 G d 200 300 1 G d 300 400 1 G Frequency 7 33 76 52 32
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3(a)(i)[4]
211.275 [4]
M1 for mid-points soi (90, 125, 175, 250, 350)
M1 for use of Σfm with m in correct interval including both boundaries
M1 for (dep on 2nd M1) for Σfm ÷ 200
3(a)(ii)[2]
32 × 350 – 32 × 330 oe or better, or the reverse of this 3.2 or – 3.2 final answer [2]
M1 B1
3(a)(iii)[3]
1.75 7.6 1.6 [3]
B2 for two correct heights
or B1 for one correct height or 3 correct frequency densities
or M1 for scale factor of 5 or 0.2
3(b)[1]
4 25 oe [1]
3(c)(i)[2]
39 995 oe [2]
M1 for 40 200 × 39 199 oe
3(c)(ii)[3]
147 4975 oe [3]
M2 for [2×] 84 200 × 7 199 oe
or B1 for 84 200 and 7 199 or 84 199 and 7 200 oe If 0 scored,
SC1 for answer 147 5000 oe
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