MathsYears 12–13Statistics

Normal distribution

Use the normal distribution as a model; find probabilities, use inverse normal; approximate binomial

What you'll learn

  1. 1

    Imagine a class of 30 students measuring their heights. Most are around average height, with fewer very short or very tall students.

  2. 2

    Here's a normal distribution curve. The highest point is the mean (average). The curve gets lower as you move away from the mean.

  3. 3

    What shape does a normal distribution curve look like?

  4. 4

    Heights in a class have mean 160 cm and standard deviation 10 cm. What percentage of students are between 150 cm and 170 cm?

  5. 5

    Drag the slider to change the standard deviation. Watch how the bell curve changes shape.

  6. 6

    In a normal distribution, about what percentage of data lies within 2 standard deviations of the mean?

  7. 7

    If exam scores follow a normal distribution with mean 60 and standard deviation 15, what score is 1 standard deviation above the mean?

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.