Normally Distributed Data (HSC SSCE Mathematics Standard): Flashcards

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Normally Distributed Data
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Shape name of normal distribution graph

Bell curve (or normal curve)

Mean, median, mode in normal distribution

All three are equal

Formula for mean xˉ\bar{x}

xˉ=∑xn\bar{x} = \frac{\sum x}{n}

Definition of median

Middle value when scores arranged in order

Measure of centre sensitive to extreme values

Mean

Measure of centre resistant to extreme values

Median

Symmetry of normal distribution

Symmetrical about the mean

Four real-world examples of normal distributions

Blood pressure, body weight, hand span, sepal width

Behaviour of normal curve tails

Approach but never touch horizontal axis (asymptotic)

Two parameters defining a normal distribution

Mean and standard deviation

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