Similarity, Proportion and Geometry Proofs
Prove triangles similar, use the proportion theorem correctly, and set up ratios that give the right answer every time.
Estimate a mean from grouped data, build and read an ogive, and draw a box-and-whisker plot that shows skewness and outliers.
By the end, you can
estimate the mean of grouped data, read quartiles from an ogive and interpret a box-and-whisker plot.
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Grouped Data, Ogives and Box-and-Whisker Plots
When you only have the groups
Sometimes you are not given the individual values, only how many fall into each interval. You can still find almost everything — but the answers are estimates, and saying so matters. 📊
This section is generous with marks because the methods are mechanical. The difficulty is remembering which point of an interval to use where.
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Grouped Data, Ogives and Box-and-Whisker Plots
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Next on the Mathematics P2 path · step 5 of 9
Scatter Plots, Regression and Outliers
14 min · R19
Prove triangles similar, use the proportion theorem correctly, and set up ratios that give the right answer every time.
Choose between the sine rule, cosine rule and area rule with confidence, and handle 2D and 3D problems without losing your way.
Solve trig equations with the general solution, and read amplitude, period and shifts off a sine, cosine or tangent graph.
Prove identities with a reliable method, reduce any angle to an acute one, and know which quadrant makes each ratio positive.
Master the four core formulas — distance, midpoint, gradient and the line equation — and use gradients to prove shapes and angles.
The whole Mathematics P2 path → All High School MicroQuests → Browse all 134 →
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Grouped Data, Ogives and Box-and-Whisker Plots
R19 · 14 min · certificate