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NSW Year 9 · Free Worksheet

Probability and Statistics

Calculating probability and summarising data with mean and range — core NSW Year 9 (NESA Stage 5) statistics skills.

What's inside

  • A short recap of the method before the questions start
  • Practice questions ordered from easiest to hardest
  • Space to show full working, plus an answer key
Download free worksheet (PDF) Download answer key (PDF)
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Sample questions

Question 1

A bag contains 4 red marbles, 3 blue marbles and 5 green marbles. A marble is drawn at random. What is the probability it is blue?

Show worked solution

Total marbles = 4 + 3 + 5 = 12. P(blue) = 3/12 = 1/4.

Question 2

Five students score 6, 8, 7, 9 and 5 on a quiz. Find the mean and the range of these scores.

Show worked solution

Mean = (6 + 8 + 7 + 9 + 5) ÷ 5 = 35 ÷ 5 = 7. Range = highest − lowest = 9 − 5 = 4.

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