How many Representation of data questions are there for 9709?

This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Representation of data. Each links straight to instant marking against the official 9709 scheme.

How are Representation of data answers marked?

Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.

Where can I learn Representation of data first?

Start with the free Mathematics lesson on Representation of data, then come back and drill past-paper questions under timed conditions.

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9709 · topic questions

Representation of data

Mathematics12 questions

12 past-paper questions on Representation of data

9709/52 · May/June 20256 marks
Calculate estimates of the mean and standard deviation of the times taken to travel to college by the 300 students.
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9709/51 · May/June 20244 marks
Draw a histogram to represent this information.
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9709/52 · October/November 20244 marks
Draw a back-to-back stem-and-leaf diagram to represent this information, with the Falcons on the left-hand side.
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9709/51 · May/June 20254 marks
Draw a back-to-back stem-and-leaf diagram to represent this information, with Gulls on the left-hand side.
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9709/51 · October/November 20243 marks
(b) Use your graph to estimate the median and the interquartile range of the data.
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9709/51 · May/June 20253 marks
Find the value of ∑y², correct to 1 decimal place.
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9709/52 · October/November 20243 marks
Find the mean and the standard deviation of the times taken by all 30 runners from the two teams.
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9709/52 · May/June 20243 marks
Find the median and the interquartile range of the salaries of the Petral employees.
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9709/52 · May/June 20243 marks
Represent the data shown in the back-to-back stem-and-leaf diagram by a pair of box-and-whisker plots in a single diagram.
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9709/52 · October/November 20243 marks
Find the median and the interquartile range of the times for the Falcons.
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9709/51 · May/June 20253 marks
Find the median and the interquartile range of the times of the runners from the Gulls.
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9709/51 · October/November 20243 marks
(c) Calculate an estimate for the mean value of the times taken by the 200 pupils to walk to school.
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Question stems are shortened previews. Open a question to attempt the full version and have it marked.

Worked example

What a lost mark actually looks like

This answer reaches the right coordinates and still drops a mark — the conclusion is stated, but never justified. Examiners pay for the reasoning, not the answer.

MARKED

80%

Strong

M1dy/dx = 3x^2 - 12x + 9M1 earned
M1(x - 1) $(x - 3) = 0$ M1 earned
A1 $x = 1$ or $x = 3$ A1 earned
B1(1, 5) is a maximum and (3, 1) is a minimumB1 not earned

B1 — withheld
You stated the nature of each point correctly, but stated it without justification. This mark needs the reasoning shown — either evaluate the second derivative (d²y/dx² = 6x − 12, giving −6 at $x = 1$ and +6 at $x = 3$ ) or show a sign change of dy/dx either side of each point. An unsupported assertion earns nothing here even when the conclusion is right.

Representation of data (9709) past-paper questions — marked instantly

These are real Cambridge Mathematics past-paper questions on Representation of data. Open one, attempt it, then upload your working — MarkScheme grades it against the official 9709 mark scheme so you see exactly where the marks are won and lost on this topic.

Mark your answer →Learn Representation of data 9709 grade boundaries

Frequently asked questions

How many Representation of data questions are there for 9709?: This page collects 12 recent Cambridge Mathematics (9709) past-paper questions tagged to Representation of data. Each links straight to instant marking against the official 9709 scheme.
How are Representation of data answers marked?: Type or photograph your working and MarkScheme scores it against the real 9709 mark scheme for this topic — method, accuracy and any band descriptors — so you see exactly where the marks are.
Where can I learn Representation of data first?: Start with the free Mathematics lesson on Representation of data, then come back and drill past-paper questions under timed conditions.