Year 9 - Statistics - Free practice

Year 9 Statistics Worksheets & Practice Tests

Choosing displays, comparing distributions, describing skew.

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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 9 statistics is about interpretation - choosing the right display for a dataset, describing whether it's skewed or symmetric, and comparing two datasets fairly. These worksheets practise exactly that judgment.

What's covered

Sub-skills your student will practise

  • Choosing between histograms, stem-and-leaf, dot plots, boxplots
  • Describing shape (symmetric, skewed, bi-modal)
  • Comparing two distributions using summary stats
  • Sampling and its effect on results
  • Interpreting survey data for bias

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Frequently asked

Questions parents ask about statistics

What's a skewed distribution?

A distribution where one tail is longer than the other. Right-skewed (positive skew) has a longer right tail - household incomes are like this. Left-skewed has a longer left tail. Symmetric distributions have neither.

When does Year 9 use a boxplot vs a histogram?

Histograms show the full shape of a distribution. Boxplots (formally introduced in Year 10) show the five-number summary. Year 9 uses dot plots, stem-and-leaf, and histograms.

What does 'bimodal' mean?

A distribution with two peaks. Often indicates two underlying groups in the data - say, men's and women's heights combined. Recognising bimodality is part of Year 9 distribution description.

What's a fair sampling method?

Random sampling where every member of the population has an equal chance of selection. Year 9 also covers stratified sampling (sampling proportionally from subgroups) and systematic sampling (every nth member).

Want a real plan for the term?

Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.

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