Mathematics · May / June 2026 · Paper 42 · Question 19
0580
As printed in the paper
The question as text
The time spent in a shop by each of 40 customers is recorded. The table shows the results. time (ī minutes) Ĭ 0 5 ĭ Ĕ Ĭ 5 10 ĭ Ĕ Ĭ 10 20 ĭ Ĕ Ĭ 20 40 ĭ Ĕ frequency 3 18 13
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19(a)[4]
12.9375 [4]
Mark at most accurate. Accept 1215 16 , 12.9, 12.93, 12.94, 12.937 and 12.938 nfww.
M1 for midpoints soi Condone one error or omission. (2.5, 7.5, 15, 30)
M1 for use of Σft with t in correct interval Condone one further error or omission. including both boundaries oe Not more than one midpoint outside interval. Do not accept use of four class widths for midpoints, t, of 5, 5, 10 and 20 7.5 + 135 + 195 + 180 = 517.5 M1 (dep on 2nd M1) for Σft ‣ 40 Accept 3 + 18 + 13 + 6 for 40
19(b)[3]
Correct histogram [1]
Accuracy – height of bar must touch correct 3 horizontal line for at least half of interval, condone good freehand.
B1 for each correct bar Condone omission of vertical line at t = 40. Accept e.g. 18 13 6 , 10 20 , If 0 scored,
SC1 for frequency densities 5 3.6, 1.3, 0.3 oe soi
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