Margin of error
A margin of error is a bound or tolerance representing the expected uncertainty or deviation around an estimate, measurement, prediction, or result.
Grokking Statistics
A margin of error is the amount added to and subtracted from a point estimate to form an interval estimate.
- How it is used
- Communicates uncertainty around sample means and proportions for study interpretation, decisions, and group comparisons.
- How deep it goes
- Defines the interval, explains confidence and standard-error inputs, and works through mean and proportion calculations without deriving them.
- Examples
- Uses screen-time measurements and video-game survey responses to calculate mean and population-proportion intervals.
- What you can do after
- Apply it via SciPy and NumPy to calculate and interpret confidence intervals for means and proportions.
The Art of AI Product Development
An error margin is an allowed range of deviation between a model's forecast and the corresponding actual or intended value.
- How it is used
- Sets a client-defined tolerance for demand forecasts and frames accuracy–run-time tradeoffs.
- How deep it goes
- Defines a practical benchmark through dialogue but stops short of statistical derivation or formal error analysis.
- Examples
- Uses a ±5% demand-forecast tolerance and compares deep learning with gradient boosting.
- What you can do after
- Evaluate model options against an agreed tolerance while balancing accuracy, speed, and client needs.
Read how The Art of AI Product Development explains margin of error →
Related concepts
- standard errorhas part · Standard error is an estimate of the sampling variability of a statistic or parameter estimate across repeated samples.
- confidence intervalpart of · A confidence interval is a range estimated from data by a statistical procedure designed to provide a specified long-run coverage probability for an unknown quantity.
- sample sizeconfigured by · The number of observations or other units included in a sample, study, or analysis.
- critical z-valueused by · A z-score cutoff that bounds a specified probability area in the standard normal distribution.
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