Statistics (Grade 12 NSC Matric Mathematics): Flashcards

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Formula for mean xˉ\bar{x}

xˉ=∑xin\bar{x} = \frac{\sum x_i}{n}

Definition of median

Middle value when data is ordered

Formula for range

Maximum value - Minimum value

Formula for inter-quartile range

Q3−Q1Q_3 - Q_1

Formula for standard deviation σ\sigma

σ=∑(xi−xˉ)2n\sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n}}

Five number summary components in order

Min, Q1Q_1, Median (Q2Q_2), Q3Q_3, Max

% data within 1 std dev in normal distribution

68%

% data within 2 std devs in normal distribution

95%

Mean vs median in positively skewed distribution

Mean > Median

Mean vs median in negatively skewed distribution

Mean < Median

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