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Weighted mean — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Weighted 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.

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.

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AMC 10

2000 AMC 10 Problem 22 • 2021 AMC 10B Fall Problem 9

AMC 12

1952 AMC 12 Problem 2 • 1965 AMC 12 Problem 26 • 1973 AMC 12 Problem 12 • 1983 AMC 12 Problem 9 • 2011 AMC 12A Problem 4 • 2023 AMC 12B Problem 18

AIME

1993 AIME Problem 3

More probability and statistics concepts

basic probabilityBayes’ Theorembinomial probabilitycomplementary probabilityconditional probabilitydata and graph interpretationdice (probability)expected valuegeometric distributiongeometric probabilityharmonic meanindependent eventsmeanmedian (data)moderandom walkrangerecursive probabilitysampling with replacementsampling without replacement