Statistics & Probability

AdvancedMaths revision

Statistics (Data Analysis)

Analyse distributions using centre, spread, grouped data and statistical interpretation.

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Focus points

✓Compare distributions with centre and spread.

✓Estimate statistics from grouped data.

✓Interpret outliers and sampling.

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Orin

The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions

Question 1FluencyCore

Original practice · Free Online Revision

Skill · summary statistics

Find the mean and range of 8,10,11,13,18.

Question 2FluencyCore

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Skill · quartiles

For ordered data 2,4,7,9,10,14,18, find the median and quartiles using the median-of-halves convention.

Question 3FluencyCore

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Skill · outlier fences

Using Q1=4 and Q3=14, find the 1.5×IQR outlier fences.

Question 4FluencyCore

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Skill · grouped mean

Grouped data has intervals 0–10,10–20,20–30 with frequencies 3,5,2. Estimate the mean.

Question 5FluencyCore

Original practice · Free Online Revision

Skill · standard deviation interpretation

Two datasets have the same mean but standard deviations 2.1 and 7.8. Which is more variable?

Question 6ReasoningCore

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Skill · sampling bias

A sample is selected only from volunteers responding to an online poll. Identify a likely bias.

Question 7ReasoningCore

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Skill · distribution comparison

Class A: median 65, IQR 8. Class B: median 68, IQR 20. Compare them.

Question 8ChallengeStretch

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Skill · mean algebra

A dataset has n values with mean 12. Adding one new value 30 raises mean to 13. Find n.