Normal Distribution (A Level only) (AQA A-Level Mathematics): Flashcards

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The Normal Distribution
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Shape of normal distribution curve

Symmetrical, bell-shaped

Mean, median, mode in normal distribution

All equal, at center

% data within 1 SD of mean

6868%

% data within 2 SDs of mean

9595%

% data within 3 SDs of mean

99.799.7%

Standard normal distribution parameters

μ=0\mu = 0, σ=1\sigma = 1

ZZ-score formula

Z=XμσZ = \frac{X - \mu}{\sigma}

What ZZ-score represents

How many SDs XX is from mean

Area under normal curve represents

Probability

XN(μ,σ2)X \sim N(\mu, \sigma^2) notation meaning

XX normal with mean μ\mu, variance σ2\sigma^2

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