P90StatisticsAdvancedImplement16 min

Implement a Bootstrap Confidence Interval for a Median

Implement a compact bootstrap interval for uncertainty around a sample median.

#implement#bootstrap#median

Scenario

A product team has a sample of delivery times and wants uncertainty around its median without assuming a normal distribution.

Problem statement

Implement a bootstrap percentile interval and explain what the result does and does not establish.

Your Task

  1. Sample with replacement repeatedly.
  2. Compute a median for each resample.
  3. Use empirical quantiles and state the interpretation.

Input

delivery_minutes = np.array([28, 31, 34, 35, 40, 44, 48])

Related Concepts

BootstrapConfidence intervalsSampling uncertainty

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