Statistical Outlier Detector

Find outliers in your data

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About Statistical Outlier Detector

A statistical outlier detector that identifies unusual values in datasets using three methods: IQR (Interquartile Range), Z-score, and modified Z-score. Highlights outliers visually, shows the five-number summary, and provides threshold customization. All processing is client-side. Essential for data analysts, researchers, quality control engineers, and students studying statistics.

Statistical Outlier Detector Features

  • 3 detection methods
  • Visual markers
  • Five-number summary
  • Custom thresholds
  • Batch input
Outliers are data points that differ significantly from other observations. They can indicate measurement errors, data entry mistakes, or genuinely unusual events. Detecting them is crucial before analysis, as outliers can skew means, correlations, and model training. The IQR and Z-score methods are the two most common detection approaches.

How to Use

Enter your dataset:

  • Input: Comma or space-separated numbers
  • Method: Choose IQR, Z-score, or modified Z-score
  • Results: Outliers highlighted with reasons

Detection Methods

  • IQR: Values below Q1−1.5×IQR or above Q3+1.5×IQR
  • Z-score: Values with |z| > threshold (default 3)
  • Modified Z-score: Uses median absolute deviation, robust against outliers

What to Do with Outliers

  • Verify data entry for errors
  • Investigate if genuine unusual events
  • Consider winsorizing or trimming
  • Report analysis both with and without outliers

Step-by-Step Instructions

  1. 1Enter numbers separated by commas or spaces.
  2. 2Select a detection method.
  3. 3Adjust the threshold if needed.
  4. 4Review highlighted outliers.
  5. 5Check the five-number summary.

Statistical Outlier Detector — Frequently Asked Questions

Which method should I use?+

IQR is best for non-normal distributions. Z-score works well for normally distributed data. Modified Z-score is the most robust, handling datasets where outliers have already skewed the mean and standard deviation.

What is the IQR method?+

IQR = Q3 - Q1 (interquartile range). Values below Q1-1.5×IQR or above Q3+1.5×IQR are flagged. The 1.5 multiplier is conventional but adjustable.

Should I always remove outliers?+

No! Only remove if they represent errors. Genuine extreme values carry important information. Always investigate before removing, and report your approach.

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