MathsYears 12–13Statistics

Normal distribution

Use the normal distribution to calculate probabilities; standardise using z-scores

What you'll learn

  1. 1

    Imagine you and 99 friends all measure your heights. Most of you will be around the same height, with a few very short and a few very tall people.

  2. 2

    What shape does a normal distribution look like?

  3. 3

    Here's a normal distribution curve. The middle is the average, and the curve shows how data spreads out symmetrically.

  4. 4

    Let's find the percentage of data within 1 standard deviation of the mean.

  5. 5

    Drag the slider to show where 95% of the data lies under the normal curve.

  6. 6

    What percentage of data is within 2 standard deviations of the mean?

  7. 7

    If the mean height is 170 cm and standard deviation is 10 cm, what range covers 68% of people?

Practise Normal distribution with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.