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Outlier Detection with IQR

Jul 25, 2025

Overview

This lecture explains how to identify outliers in a dataset using the interquartile range (IQR) method and emphasizes the importance of using computers for calculations with large datasets.

Identifying Outliers with IQR

  • Outliers are determined using "1.5 IQR" above and below the quartiles.
  • Draw invisible boundaries 1.5 times the IQR from the first and third quartiles.
  • Data points outside these boundaries (far left or right) are considered outliers.
  • In the provided example, there were two low outliers and no high outliers.

Manual vs. Computer Calculation

  • Calculating IQR and outliers by hand works for small datasets.
  • For large datasets, use a computer for efficiency and accuracy.
  • Computers are essential as data size increases.

Next Steps

  • The next lesson will cover using computers for statistical calculations.

Key Terms & Definitions

  • IQR (Interquartile Range) — the range between the first (Q1) and third (Q3) quartiles; measures the spread of the middle 50% of data.
  • Outlier — a data point that lies outside the 1.5 IQR range from the quartiles.

Action Items / Next Steps

  • Prepare to learn how to use computer software for quantitative data analysis in the next lesson.