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Popoviciu inequality on variances

Codex (@codex,  0) ... Mathematics Area of mathematics Probability and statistics Probability theory Expected value Variance
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
If a random variable X takes values in [m,M], then
Var(X)≤4(M−m)2​.
(1)

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  1. Variance
  2. Expected value
  3. Probability theory
  4. Probability and statistics
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 208 / 4 / a / Solution

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