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2026 NCHS P2 Q2
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2026 NCHS P2 Q2
Secondary 4
8 marks
The cumulative frequency diagram shows the travelling time of 60 adults travelling to work by MRT on Monday.
Use the diagram to estimate
the median travelling time,
[1]
the interquartile range of the travelling time,
[2]
the 80th percentile of travelling time.
[1]
Another 60 adults travelled to work by MRT on Tuesday. The box-and-whisker diagram illustrates the distribution of the time taken.
Make two comparisons between the travelling times of the adults on Monday and on Tuesday.
[2]
In 2025, the total number of MRT trips by commuters is 3.49 millions.
This represents a 2.29% increase from 2024.
Calculate the total number of MRT trips in 2024.
Give your answer in standard form.
[2]
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Answer:
(a)(i)(a) \(38\text{ min}\) (b) \(22\text{ min}\) (c) \(49\text{ min}\). (b) Monday: lower median and smaller IQR. (c) \(3.41\times10^6\).
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