Margin of Error Calculator
Result
Calculated result
9.8
Based on the values entered.
↗ Math
Margin of Error Calculator — free online calculator.
Formula
z*sqrt(p*(1-p)/n)*100
- Margin of Error Calculator calculates its result from Z score, Proportion, Sample size. It uses the formula z*sqrt(p*(1-p)/n)*100. Change any input to recalculate the result instantly.
- The main inputs are Z score, Proportion, Sample size. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Margin of Error
Inputs
- Z score: 1.96
- Proportion: 0.5
- Sample size: 100
Using Z score = 1.96, Proportion = 0.5, Sample size = 100, the calculated result is 9.8.
Sample result: Calculating…
Frequently asked questions
What does the Margin of Error calculate?
Margin of Error Calculator — free online calculator.
Which values should I enter?
Enter Z score, Proportion, Sample size using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: z*sqrt(p*(1-p)/n)*100.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.