Mathematics · May / June 2024 · Paper 42 · Question 3
0580
As printed in the paper
Show the answer and mark scheme
3(a)(i)[4]
25.4375 [4]
M1 for mid-points soi (5, 17.5, 32.5, 50)
M1 for use of Σfm with m in correct interval including both boundaries
M1 for (dep on 2nd M1) for Σfm ÷ 40
3(a)(ii)[3]
correct histogram [3]
B2 for 3 correct blocks
or B1 for 2 correct blocks If 0 scored
SC1 for 4 correct frequency densities 0.3, 1.2, 1, 0.2 oe soi
3(a)(iii)[3]
19 260 oe [3]
19 3 [ ] × ×
M2 for 2 oe 40 39
or M1 for any of 19 40 , 3 40 , 19 39 , 3 39 oe seen If 0 scored,
SC1 for 57 800 oe
3(b)(i)[1]
5 [1]
3(b)(ii)[3]
5 22 27 30 8 Correct box plot [3]
B2 for with LQ at 8 and median at 22 and UQ at 27 and boxed
or M1 for LQ at 8 and median at 22 or for UQ at 27
B1 for lowest = 5 and highest = 30 Max B1 if not box and whisker diagram
3(b)(iii)[1]
Correct explanation which states the median is 22 and correct reference to 100 or 101 e.g.
Median is 22 which is 50% of the people and 101 is more than 50% oeThe median is 22 which is the 100th number (accept 100.5th number) [1]
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