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Margin of Error Calculator

Statistics
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Calculates the range (+/-) around a sample statistic (like mean or proportion) that likely contains the true population parameter.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Confidence Level (%), Sample Size (n), Population Proportion (p) - if applicable, otherwise leave blank, and Sample Standard Deviation (σ) - if applicable, otherwise leave blank in the units shown.

Step 2

Read Z-score, Margin of Error (Mean), Margin of Error (Proportion), and Margin of Error in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

95% Confidence, n=100, p=0.5

Confidence Level (%): 95 %; Sample Size (n): 100; Population Proportion (p) - if applicable, otherwise leave blank: 0.5; Sample Standard Deviation (σ) - if applicable, otherwise leave blank: 0

Z-score: 1.96; Margin of Error (Mean): 0; Margin of Error (Proportion): 0.098; Margin of Error: 0.098

99% Confidence, n=200, p=0.2

Confidence Level (%): 99 %; Sample Size (n): 200; Population Proportion (p) - if applicable, otherwise leave blank: 0.2; Sample Standard Deviation (σ) - if applicable, otherwise leave blank: 0

Z-score: 2.58; Margin of Error (Mean): 0; Margin of Error (Proportion): 0.07297341982; Margin of Error: 0.07297341982

90% Confidence, n=500, σ=10

Confidence Level (%): 90 %; Sample Size (n): 500; Population Proportion (p) - if applicable, otherwise leave blank: 0; Sample Standard Deviation (σ) - if applicable, otherwise leave blank: 10

Z-score: 1.645; Margin of Error (Mean): 0.7356663646; Margin of Error (Proportion): 0; Margin of Error: 0.7356663646

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