Mathematics · May / June 2023 · Paper 42 · Question 4
0580
As printed in the paper
The question as text
The table shows information about the heights of 80 children. Height (h metres) . . h 1 2 1 4 1 G . . h 1 1 4 5 1 G . . h 1 1 5 65 1 G . . h 1 1 65 8 1 G . . h 1 1 8 9 1 G Frequency 2 13 24 32 9
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
4(a)(i)[1]
1.65 < h ≤ 1.8 [1]
4(a)(ii)[4]
1.63875 [4]
M1 for midpoints soi
M1 for use of ∑fh with h in correct interval including both boundaries M1dep on 2nd
M1 for ∑fh ÷ 80
4(b)(i)[1]
1 40 oe [1]
4(b)(ii)[3]
63 395 oe [3]
M2 for 56 9 [ 2] × × oe 80 79
or B1 for 56 9 9 56 or or or 79 oe seen 80 79 80 If 0 or B1 scored, instead award
SC2 for answer 117 632 oe
or SC1 for answer 63 400 oe
4(c)(i)[2]
15, 39, 71, 80 [2]
B1 for 3 correct
or M1 for 1 error in addition with other values then consistent
4(c)(ii)[3]
Correct curve [3]
B1 for correct horizontal placement for 5 plots B1FT for correct vertical placement for 5 plots B1FT dep on at least
B1 for reasonable increasing curve or polygon through their 5 points If 0 scored SC1 FT for 4 out of 5 points correctly plotted
4(d)(i)[2]
Strict FT their UQ – their LQ [2]
2dep B1dep for their UQ or their LQ seen Dep on increasing curve/polygon for 2 marks or B1
4(d)(ii)[2]
Strict FT their reading at 48 [1]
2dep
B1 for 48 written
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