Normal Distribution
A continuous probability distribution with probability density function determined by mean μ and standard deviation σ, denoted X ~ N(μ, σ²). The distribution is symmetric about the mean with most values within 3σ of μ.
Real World
The heights of 18-year-old males in the UK follow approximately N(177, 49), meaning most young men are between 163cm and 191cm — this is why clothing brands like ASOS size their ranges around the middle 95%.
Exam Focus
State the distribution notation X ~ N(μ, σ²) explicitly — examiners award a mark for correct identification.
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