Mathematics · May / June 2020 · Paper 42 · Question 3
0580
As printed in the paper
The question as text
The speed, v km/h, of each of 200 cars passing a building is measured. The table shows the results. Speed (v km/h) v 0 20 1 G v 20 0 4 1 G v 40 45 1 G v 0 45 5 1 G v 50 0 6 1 G v 60 0 8 1 G Frequency 16 34 62 58 26 4
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
3(a)[4]
41.4 [4]
M1 for 10, 30, 42.5, 47.5, 55, 70 Σ
M1 for fx where x lies in or on the boundary of each interval. Σ fx M1 dep for 200 dep on second M1
3(b)(i)[1]
112, 170 [1]
3(b)(ii)[3]
Correct diagram [3]
B1 for correct horizontal plot B1FT for correct vertical plots B1 FT dep on at least B1 earned for reasonable increasing curve or polygon through their 6 points If 0 scored SC1FT for 5 out of 6 points plotted correctly
3(b)(iii)[3]
48 [1]
160 [2]
M1 for 40 seen
3(c)[2]
87 3980 oe [2]
M1 for 30 29 × oe 200 199
3(d)[3]
Correct histogram [3]
B1 for each column If 0 scored
SC1 for correct frequency densities soi 1.25, 12, 1
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