Measures of Spread (VCE SSCE Mathematical Methods): Flashcards

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Measures of Spread
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Variance measures

How far values fall from the mean

Notation for variance

σ2\sigma^2

Standard deviation formula

Var(X)\sqrt{\text{Var}(X)}

Notation for standard deviation

σ\sigma

Computational variance formula

Var(X)=E(X2)μ2\text{Var}(X) = E(X^2) - \mu^2

Standard deviation units vs original variable

Same units

IQR formula

Q3Q1Q_3 - Q_1

IQR represents

Spread of middle 50% of distribution

Q1Q_1 definition

25th percentile (first quartile)

Q3Q_3 definition

75th percentile (third quartile)

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