Normal distribution
Use the normal distribution as a model; find probabilities, use inverse normal; approximate binomial
What you'll learn
- 1
Imagine a class of 30 students measuring their heights. Most are around average height, with fewer very short or very tall students.
- 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
What shape does a normal distribution curve look like?
- 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
Drag the slider to change the standard deviation. Watch how the bell curve changes shape.
- 6
In a normal distribution, about what percentage of data lies within 2 standard deviations of the mean?
- 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.