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Stage 9 - Q1 - 4 marks
20237

These are transport categories for one survey. Choose a suitable diagram, sketch it, and explain why a frequency polygon is unsuitable.

Transport
Frequency
Walk
10
Cycle
5
Bus
13
Car
7
Hint

Decide whether the horizontal variable is categorical or numerical.

Stage 9 - Q2 - 4 marks
20238

Choose and draw a diagram to show how these temperatures change over time.

Clock hour
Temperature (°C)
7
10
8
12
9
13
10
12
11
14
Hint

Time order is meaningful in this dataset.

Stage 9 - Q3 - 4 marks
20239

Eight observations each pair a sensor setting x with a response y. Choose a diagram to investigate association, and sketch it.

x
1
2
3
4
5
6
7
8
y
24
30
34
34
38
39
45
48
Hint

There are two numerical measurements for each observation.

Stage 9 - Q4 - 5 marks
20240

Choose a display that compares these two small sets of times while preserving every exact value. Construct it with keys.

Group A: time (s)
\(33,\ 35,\ 35,\ 38,\ 40,\ 42\)
\(44,\ 45,\ 47,\ 48,\ 50,\ 53\)
Group B: time (s)
\(34,\ 36,\ 39,\ 41,\ 43,\ 45\)
\(46,\ 48,\ 48,\ 52,\ 54,\ 56\)
Hint

A grouped graph hides exact values; the requested display should retain them.

Stage 9 - Q5 - 4 marks
20241

The completion times are grouped into equal-width numerical intervals. Draw a suitable display for the distribution shape and name one piece of information it cannot recover.

Time (min)
Frequency
\(0\le t<10\)
2
\(10\le t<20\)
7
\(20\le t<30\)
12
\(30\le t<40\)
5
\(40\le t<50\)
1
Hint

Class midpoints provide the horizontal positions.

Stage 9 - Q6 - 4 marks
20242

A survey splits 90 pupils among clubs A, B, C with counts 15, 30, 45. A pie chart will show parts of the whole. Find all sector angles and explain why a mean club label is meaningless.

Hint

Use the full survey count as each fraction denominator.

Stage 9 - Q7 - 4 marks
20243

The bars compare two counts. Explain how the vertical scale exaggerates their difference, give the actual difference, and redraw with a zero baseline.

Frequency
45
46
47
48
49
50
A
46
B
48
Axis starts at 45
Hint

Compare the axis starting value with the actual counts.

Stage 9 - Q8 - 4 marks
20244

A survey splits 60 pupils among clubs A, B, C with counts 10, 20, 30. A pie chart will show parts of the whole. Find all sector angles and explain why a mean club label is meaningless.

Hint

Use the full survey count as each fraction denominator.

Stage 9 - Q9 - 4 marks
20245

The bars compare two counts. Explain how the vertical scale exaggerates their difference, give the actual difference, and redraw with a zero baseline.

Frequency
52
53
54
55
56
57
58
59
60
A
53
B
58
Axis starts at 52
Hint

Compare the axis starting value with the actual counts.

Stage 9 - Q10 - 6 marks
20246

Separate surveys found 12 approvals out of 20 for design A and 18 out of 40 for design B. A poster uses the approval counts to claim B has the higher approval rate. Design a fair display and evaluate the claim and its limits.

Hint

The question is about approval rates, not the total number of approvals.

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