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CSCA MathematicsChapter 4: Probability & StatisticsBeginner

Statistics: Mean, Variance & Normal Distribution

数据的数字特征与正态分布 · Node 4.2

Sample mean $\bar{x}$, sample variance $s^2$, standard deviation, and normal distribution curve symmetry ($3\sigma$ rule).

Chapter Weight: 15% of official examination
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Core Mathematical Axiom

Formula Proof & Traps
xˉ=n1​i=1∑n​xi​,s2=n1​i=1∑n​(xi​−xˉ)2,P(μ−σ<X<μ+σ)≈0.6827
CSCA Exam Trap Alert

Forgetting that multiplying data by constant $a$ multiplies variance by $a^2$ (not $a$).

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