Maths4U
Menu

Exam-Style Problems

Back to Evaluating surveys and displays
Browsing as Guest. Progress, bookmarks and attempts are disabled. Log in to track your work.
Stage 9 - Q1 - 2 marks
19467

Read the frequency for group B.

Pupils
0
20
40
60
80
48
A
54
B
60
C
Hint

Read from the top of the bar across to the vertical scale.

Stage 9 - Q2 - 2 marks
19468

Why can this bar chart exaggerate differences?

Pupils
36
46
56
66
76
48
A
54
B
60
C
Hint

Check the bottom of the vertical scale.

Stage 9 - Q3 - 2 marks
19469

Find the percentage increase from A to C; give 1 d.p.

Pupils
36
46
56
66
76
48
A
54
B
60
C
Hint

A distorted visual impression does not change the data.

Stage 9 - Q4 - 2 marks
19470

A random sample of 60 pupils suggests 60% favour option A. Must exactly 60% of the whole school favour A?

Hint

A sample is not a census.

Stage 9 - Q5 - 4 marks
19471

42 of 70 randomly selected pupils prefer cycling. State a justified conclusion and one limitation.

Hint

Keep the conclusion tied to the sampling frame.

Stage 9 - Q6 - 3 marks
19472

A survey asks 40 swimming-club members whether sport is enjoyable. Can it estimate the view of all town residents?

Hint

Who has no chance of entering this sample?

Stage 9 - Q7 - 3 marks
19473

Two surveys at the library disagree. Does that prove one was dishonest?

Hint

There can be ordinary methodological reasons for disagreement.

Stage 9 - Q8 - 3 marks
19474

A pilot at a library reveals that two observers interpret “visit” differently. What should happen before the main study?

Hint

Resolve the meaning of the variable before enlarging the sample.

Stage 9 - Q9 - 5 marks
19475

Design a fair display and cautious report for frequencies \(A=48\), \(B=54\), \(C=60\) from a random sample.

Hint

Make the graphic, denominator and sampling limits explicit.

Stage 9 - Q10 - 6 marks
19476

Challenge: A headline says “Group C nearly doubles A!” The data are \(A=48\), \(B=54\), \(C=60\), collected from lunchtime volunteers. Evaluate both the graphic claim and the population conclusion; propose a better study.

Hint

Check the ratio first, then ask who could enter the sample.

No problems left in this filter.
Back to Evaluating surveys and displays