Mathematics · May / June 2020 · Paper 41 · Question 2
0580
As printed in the paper
The question as text
The heights, h metres, of the 120 boys in an athletics club are recorded. The table shows information about the heights of the boys. Height (h metres) . . h 1 3 1 4 1 G . . h 1 4 1 5 1 G . . h 1 5 1 6 1 G . . h 1 6 1 7 1 G . . h 1 7 1 8 1 G . . h 1 8 1 9 1 G Frequency 7 18 30 24 27 14
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
2(a)(i)[1]
[1]
2(a)(ii)[4]
1.62 or 1.623… nfww [4]
M1 for 1.35, 1.45, 1.55, 1.65, 1.75 1.85 soi Σ
M1 for fx M1 dep for their fx Σ ÷ 120
2(b)(i)[1]
14 120 oe [1]
2(b)(ii)[4]
21 20060 oe [4]
14 7 6
M3 for 3 120 × × 119 118
or M2 for 14 7 6 × × isw 120 119 118
or M1 for 14 7 6 120 119 118 , , 343 After 0 scored,
SC1 for answer 864000 or 343 288000 oe
2(c)(i)[2]
55, 79, 106, 120 [2]
B1 for 2 or 3 correct
2(c)(ii)[3]
Correct diagram [3]
B1 for correct horizontal plots B1FT for correct vertical plots B1FT dep on at least
B1 for reasonable increasing curve or polygon through their 6 points If 0 scored
SC1 for 5 out of 6 points correctly plotted
2(d)(i)[1]
1.62 to 1.63 [1]
2(d)(ii)[2]
1.57 to 1.58 [2]
B1 for 48 soi
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