Stage 9 - Q1 - 2 marks
Read the frequency for group B.
Hint
Read from the top of the bar across to the vertical scale.
Stage 9 - Q2 - 2 marks
Why can this bar chart exaggerate differences?
Hint
Check the bottom of the vertical scale.
Stage 9 - Q3 - 2 marks
Find the percentage increase from A to C; give 1 d.p.
Hint
A distorted visual impression does not change the data.
Stage 9 - Q4 - 2 marks
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
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
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
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
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
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
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.