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Outlier Calculator

Detect outliers using IQR method or z-score

Outlier Calculator

Outlier Calculator

Detect outliers using IQR method or z-score

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An outlier is a data point that lies far from other observations. The IQR method defines outliers as values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR (mild outliers) or ±3×IQR (extreme outliers). The z-score method flags values more than 2–3 standard deviations from the mean.

  1. 1Sort data and find Q1 (25th percentile) and Q3 (75th percentile)
  2. 2Calculate IQR = Q3 − Q1
  3. 3Lower fence = Q1 − 1.5 × IQR | Upper fence = Q3 + 1.5 × IQR
  4. 4Points outside fences are flagged as outliers
  5. 5Z-score method: z = (x − mean) / standard deviation; |z| > 3 is an outlier
Dataset: 10, 12, 11, 13, 100=100 is an outlier (Q3+1.5×IQR ≈ 16)IQR = 13−11 = 2, fence = 13+3 = 16
Dataset with mean=50, SD=10; value=82=Z-score = 3.2 — outlierMore than 3 standard deviations above mean
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