Explain Why a Geometric Mean Can Exceed Its Median

Quick Overview

Derive the mean and a discrete median of a geometric waiting-time distribution on trials 1, 2, 3, and onward. See how its right tail can pull the mean above the median, and handle logarithm rounding, alternate parameterization, and p = 1.

Explain Why a Geometric Mean Can Exceed Its Median

Company: StackAdapt

Role: Machine Learning Engineer

Category: Statistics & Math

Difficulty: easy

Interview Round: Technical Screen

Overview: Derive the mean and a discrete median of a geometric waiting-time distribution on trials 1, 2, 3, and onward. See how its right tail can pull the mean above the median, and handle logarithm rounding, alternate parameterization, and p = 1.

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StackAdapt
Aug 10, 2026
easyMachine Learning EngineerTechnical ScreenStatistics & Math
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