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Chatty reference · stats1 week 3

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2026-08-16

23. Stats W3 — Numerical Data

This is a large pattern family.

Central tendency

  • Mean
  • Median
  • Mode
Mean:
xˉ=1n∑i=1nxi\bar{x}=\frac{1}{n}\sum_{i=1}^{n}x_i

Position

  • Quartiles
  • Percentiles

Dispersion

  • Range
  • Variance
  • Standard deviation
  • IQR
IQR=Q3−Q1IQR=Q_3-Q_1

Five-number summary

{min⁡,Q1,median,Q3,max⁡}\{\min,Q_1,\text{median},Q_3,\max\}
Patterns:
  • calculate summary
  • choose appropriate summary
  • compare datasets
  • detect effect of outliers
  • interpret spread
  • reconstruct information from summary statistics

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