probability and statistics
Harmonic mean — AMC & AIME Problems
17 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Harmonic mean — a probability and statistics concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: The Harmonic Mean and the AM-HM Inequality.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
Filter by difficulty
These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 12
More probability and statistics concepts
- Basic probability
- Bayes’ Theorem
- Binomial probability
- Complementary probability
- Conditional probability
- Data and graph interpretation
- Dice (probability)
- Expected value
- Geometric distribution
- Geometric probability
- Independent events
- Mean
- Median (data)
- Mode
- Random walk
- Range
- Recursive probability
- Sampling with replacement
- Sampling without replacement
- Weighted mean