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 · every frame verified for overlaps, spacing and edges before rendering
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
