The Normal Distribution (HSC SSCE Mathematics Standard): Flashcards

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The 68–95–99.7 Rule
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Another name for the 68-95-99.7 rule

Empirical rule

% of data within 1 SD of mean in normal distribution

Approximately 68%

% of data within 2 SD of mean in normal distribution

Approximately 95%

% of data within 3 SD of mean in normal distribution

Approximately 99.7%

% of data above the mean in normal distribution

50%

% in each tail beyond 1 SD from mean

16%

% in each tail beyond 2 SD from mean

2.5%

% in each tail beyond 3 SD from mean

0.15%

Lower boundary formula using mean & SD

extmean(nimesextSD) ext{mean} - (n imes ext{SD})

Position of mean, median, mode in normal distribution

All at the same central point

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