Download your PDF
95% Mean Confidence Interval Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
95% Mean Confidence Interval Calculator — result sheet
Calculate a normal-approximation 95% confidence interval for a sample mean from standard deviation and sample size.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: 95% interval = mean ± 1.96×standard deviation/√n.
The margin of error is shown before the lower and upper endpoints are returned.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sample mean — minimum -1000000000; maximum 1000000000
- Sample standard deviation — minimum 0; maximum 1000000000
- Sample size — minimum 1; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Sample mean | 100 |
| Sample standard deviation | 15 |
| Sample size | 36 |
95% interval ≈95.10 to104.90.
Assumptions and limits
- The standard deviation is nonnegative and sample size is a positive whole number.
- The normal critical value 1.96 is used as a large-sample or known-standard-deviation approximation.
- Finite-population correction, nonresponse, bias, design effects, and t critical values are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.