Curriculum
Statistics — Third Secondary
Unit 1: Correlation and Regression
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Unit 2: Advanced Statistical Measures
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Unit 3: Probability
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Unit 4: Random Variables
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Unit 5: The Normal Distribution
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Text lesson
Expectation and Variance
Expectation and Variance
Lesson summary
Lesson summary
- Expectation μ = Σ (x × f(x)), the long-run average of the variable.
- Variance σ² = Σ (x² × f(x)) − μ², and standard deviation: σ = √σ².
- If Y = aX + b, then E(Y) = a E(X) + b and Var(Y) = a² Var(X).
- A positive expectation in a game means an expected gain for the player, and a negative expectation means an expected gain for the organiser.
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