Statistics › Section B · Descriptive statistics › Topic B.6
Skewness and the mean, median, and mode
Symmetric single-peaked data let the mean, median and mode agree; skew forces them into a predictable order. This topic turns that ordering into a tool - a numeric shape detector that works even when no graph is to hand.
In this topic
- Shape runs the centres
- Symmetric: the centres agree
- Right skew: the mean chases the tail
- Worked example: a left-skewed quiz
- Why the mean moves most
- Worked example: three cafés, three shapes
- A numeric skew detector
- Skew is not the same as outliers
- Common mistakes to avoid
- Key takeaways
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