The normal distribution: the 68-95-99.7 rule
A normal distribution curve is built up with shaded bands marking one, two, and three standard deviations from the mean, labeled with the 68%, 95%, and 99.7% empirical rule percentages. An adult-height example grounds the abstract curve in a relatable measurement, showing how likely someone is to fall within each range. The animation ends by highlighting the thin 3-in-1000 tail beyond three standard deviations, illustrating how rare extreme values are. Useful for introductory statistics students learning to interpret standard deviation and probability under a normal curve.
16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
The bell curve with the bands within one, two and three standard deviations shaded and labelled 68%, 95% and 99.7%, an adult-height example, and the 3-in-1000 tail.
Make the next one in this series
- Show how z-scores convert any raw value into standard deviation units on the bell curve
- Compare two normal distributions with different standard deviations to show spread visually
- Demonstrate the central limit theorem with sample means forming a bell curve from non-normal data
