Survey Accuracy

Margin of Error Calculator

This page helps you work backward from a completed sample. Instead of asking how many responses you need, it shows how precise your current sample size is likely to be.

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Calculator for Margin of Error

Use the calculator below for a quick estimate on this page.

Margin of error (±%)
+/- 4.90%
This is the expected sampling uncertainty around your percentage estimate.
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Once you know the number of responses needed, the next step is collecting them. With SurveyLegend, you can create engaging surveys, distribute them across multiple channels, and analyze results in real time.

What margin of error means

Margin of error is the expected sampling uncertainty around a percentage estimate. A result of 60% with a margin of error of +/- 4% means the true population value is likely to fall within a small range around that estimate, assuming random sampling.

Smaller margins of error are generally better, but they require larger samples.

What changes the margin of error

The biggest driver is sample size. Larger samples shrink the margin of error. Confidence level matters too: moving from 90% to 95% or 99% increases the required certainty and widens the interval if the sample size stays fixed.

The estimated proportion also matters. Precision is usually worst near 50% and better near the extremes.

Common use cases

Use this calculator when results are already in and you want to report uncertainty honestly. It is useful in survey dashboards, internal reporting, stakeholder updates, and post-survey analysis.

  • Board or stakeholder reporting
  • Post-survey analysis
  • Market research summaries
  • Survey methodology notes

How to use the result in reporting

Margin of error is most useful when it stays attached to the sample size and confidence level that produced it. Reporting the number on its own can make a result sound more precise than it really is.

It is also worth remembering that margin of error covers sampling uncertainty, not questionnaire bias, weighting decisions, or nonresponse problems. A precise survey can still be flawed if the data collection process is weak.

  • Report margin of error together with sample size and confidence level
  • Use it to compare reporting precision across waves or segments
  • Do not treat it as a measure of total survey quality
  • Review fieldwork and sampling method alongside the number

Related pages for Calculator for Margin of Error

Frequently Asked Questions

What does the margin of error calculator show?
It shows the expected sampling uncertainty around a percentage estimate for the sample size, confidence level, and estimated proportion you enter.
Why does margin of error get smaller with larger samples?
Larger samples reduce random sampling variation, so the interval around your estimate becomes narrower.
Should I include population size here?
Include it when the total audience is known and relatively small compared with the sample. That can slightly reduce the margin of error through finite population correction.
Is a lower margin of error always better?
Lower is better for precision, but only if the added sample cost is worth it. For many operational surveys, a slightly wider margin of error is acceptable if it still supports the decision you need to make.
Should I report margin of error by subgroup?
Yes, if you are reporting subgroup results. Each subgroup effectively has its own sample size, so the margin of error for a segment may be much wider than the margin of error for the full sample.