Year 10 - Statistics - Free practice

Year 10 Statistics Worksheets & Practice Tests

Quartiles, IQR, boxplots, comparing distributions.

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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.

About this worksheet

Why we built it

Year 10 statistics is heavy on boxplots, quartiles and the interquartile range. These worksheets give your student varied datasets so they can construct boxplots accurately and compare two distributions using their five-number summaries.

What's covered

Sub-skills your student will practise

  • Calculating Q1, Q2 (median) and Q3 from a dataset
  • Interquartile range and outliers
  • Constructing boxplots from raw data
  • Comparing two boxplots side by side
  • Identifying outliers using 1.5 x IQR rule

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Frequently asked

Questions parents ask about statistics

What's the interquartile range?

Q3 - Q1, the spread of the middle 50% of the data. It's less sensitive to outliers than the full range. IQR is the headline measure of spread for skewed data.

What's a five-number summary?

Minimum, Q1, median, Q3, maximum. The five numbers that define a boxplot. Year 10 expects students to calculate it from raw data and use it to compare distributions.

How do students identify outliers?

Using the 1.5 x IQR rule: any value more than 1.5 IQR below Q1 or above Q3 is an outlier. Some textbooks use 3 x IQR for 'extreme outliers'. The 1.5 rule is the Year 10 standard.

Why do statisticians prefer boxplots over histograms sometimes?

Boxplots compress a dataset to five key numbers, making side-by-side comparisons of multiple distributions easy. Histograms are richer but harder to compare at a glance. Year 10 introduces side-by-side boxplots.

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