Statistics
Interpret and construct data displays, calculate summaries, compare distributions and reason cautiously from correlation.
How to prepare for the current TMUA
Secure the shared mathematical specification, practise application in unfamiliar settings, then make every Paper 2 implication and proof step explicit.
Core concepts
Concept 1
Choose and interpret tables, charts, histograms, cumulative frequency and time-series displays.
Exam cue: Check whether a histogram axis shows frequency density.
Concept 2
Calculate or estimate centre and spread and compare like-for-like summaries.
Exam cue: State both a centre and a spread when comparing distributions.
Concept 3
Interpret scatter graphs, trend lines, interpolation and extrapolation without claiming causation.
Exam cue: Separate an observed association from a causal conclusion.
Risk pitfalls and guardrails
Reading histogram height as frequency when class widths differ.
Guardrail: Do not treat examples as proof, reverse an implication, cancel a possible zero or rely on calculator-only intuition.
Comparing a mean in one set with a median in another.
Guardrail: Do not treat examples as proof, reverse an implication, cancel a possible zero or rely on calculator-only intuition.
Claiming correlation proves causation.
Guardrail: Do not treat examples as proof, reverse an implication, cancel a possible zero or rely on calculator-only intuition.
Memory anchors
Histogram area
Bar area represents frequency when class widths vary.
Frequency density
Frequency divided by class width.
Median and IQR
Pair a robust centre with a robust spread.
Grouped estimate
Class intervals hide exact individual values.
Correlation
Association alone does not establish cause.
Extrapolation caution
A trend outside observed data is especially uncertain.
Checkpoint rule
Do the check-up only after you can summarize each concept in one sentence and identify one dangerous pitfall from memory.
Knowledge Check (after reading)
Short check-up to confirm understanding of this module.
Check-up Questions
The mean of 6 numbers is 14. Removing one number leaves mean 12. What was removed?
Values 1,2,3,4 have frequencies 2,3,4,1. What is the mean?
Answer all questions to submit.
Next step personalized recommendations
Continue learning
Move forward only after this module is stable.
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