Margin of Error Calculator
MOE from sample size and confidence.
Margin of error (MOE)
1.9600
Introduction
Calculate the margin of error for a sample proportion or mean at a chosen confidence level. Translate poll results into ± intervals. Use The Daily Tools' Margin of Error Calculator for private, browser-based processing — no account or server upload required.
What is Margin of Error Calculator?
Margin of Error Calculator helps you moe from sample size and confidence. It belongs to the Sampling group within statistics tools on The Daily Tools. Enter your values and review the result with the assumptions shown on the page.
Definition: Margin of Error Calculator is a free, browser-based calculator for mOE from sample size and confidence.
Formula
MOE = z × (σ ÷ √n) or z × √(p(1−p) ÷ n)
Calculation steps
- The core formula: MOE = z × (σ ÷ √n) or z × √(p(1−p) ÷ n)
- Enter your values in the fields above — units and assumptions are under your control.
- The Daily Tools computes the result instantly in your browser using JavaScript.
- Review the result panel for the primary output and supporting breakdown values.
Worked example
Example: Using the Margin of Error Calculator
Inputs: Enter values relevant to sampling — for example, the measurements or amounts described in the tool fields above.
- Open the Margin of Error Calculator and review the input fields.
- Apply the formula: MOE = z × (σ ÷ √n) or z × √(p(1−p) ÷ n)
- Adjust inputs to compare scenarios side by side.
You receive an immediate moe from sample size and confidence — useful for planning and comparison.
Use cases
- Working through a sampling question with clear inputs
- Comparing inputs in the Margin of Error Calculator
- Using a focused tool instead of a general spreadsheet or manual calculation
Advantages
- Browser-based processing — entered values and selected files are not sent to our servers
- No account required
- Instant results with a clean, readable interface
- Transparent formula shown on this page
Limitations
- Results are estimates and do not replace professional advice
- Results are not saved by this tool after you leave or refresh the page
Frequently asked questions
- Is the Margin of Error Calculator free to use?
- Yes. Margin of Error Calculator on The Daily Tools is completely free, requires no account, and runs entirely in your browser.
- Does The Daily Tools store my inputs?
- No. Your numbers and text never leave your device. The Daily Tools has no backend database for calculator inputs.
- Who should use the Margin of Error Calculator?
- Anyone who needs a clear statistics calculation and wants to check the assumptions used.
- How accurate is the Margin of Error Calculator?
- Results follow the standard formula shown on this page. They are estimates for planning — not a substitute for professional advice.
- Can I use the Margin of Error Calculator on mobile?
- Yes. The Daily Tools is fully responsive and works on phones, tablets, and desktops.
Sources & references
Key points
- Margin of Error Calculator is a free, browser-based calculator for mOE from sample size and confidence.
- Formula: MOE = z × (σ ÷ √n) or z × √(p(1−p) ÷ n)
- Private, browser-only processing
- Private, browser-based processing