M6: Statistics, Averages, Spread and Histograms
Official Cambridge & Imperial ESAT specification requirements for Statistics, Averages, Spread and Histograms on the Mathematics 1 paper. Understand the syllabus boundaries, spot distractor traps engineered by examiners, and master the 2-step Sub-90 shortcuts that compress solve time well below the 88.8-second cutoff.
Official Syllabus Subtopics
Requirements specified in the UAT-UK framework
- 1Mean, weighted mean, and mean deviation balancing: Σ(xᵢ − mean) = 0
- 2Grouped median linear interpolation and quartiles (IQR = Q3 - Q1)
- 3Unequal-width histograms: Frequency Density = Frequency / Class Width
- 4Cumulative frequency curves, percentiles, and box-and-whisker plots
- 5Comparative spread and skewness analysis
Sub-90 Exam Speed Tips
How top candidates solve this spec under the 88.8s clock
On histograms, frequency is represented by the AREA of the bar, not its height.
Always compute frequency density before comparing bars of different class widths.
Examiners engineer distractor options using common algebraic expansions and sign slips. Always test structural ratios or invariants before calculating arithmetic values.
Tested Topics in Specification M6
Master the individual question patterns and Sub-90 shortcuts for this specification.
Mean Deviation Balancing, Grouped Median Interpolation & Unequal-Width Histograms
Never multiply large means: balance deviations from the target mean so sum(xᵢ - mean) = 0. In histograms, Area = Frequency (F = FD * width).
Ready to Master Specification M6 Under Exam Conditions?
Practice timed questions under the authentic Pearson VUE interface with live split stopwatch pacing, dry-wipe scratchpad, and distractor forensics.