What is a confidence interval?

It is a range of values derived from sample data that is likely to contain the true population parameter with a specified level of confidence.

Can I use this tool with raw data?

Yes, you can paste raw numbers separated by commas, spaces, or new lines into the dataset field for mean calculations.

What confidence levels are supported?

The tool supports common confidence levels including 80%, 85%, 90%, 95%, 98%, and 99%.

How do I calculate a proportion interval?

Select 'Proportion' as the interval type and enter the number of successes and the total number of trials.

What does the margin of error represent?

It represents the range above and below the sample statistic, indicating the potential deviation from the true population value.

Elysia Tools

Navigation

Math & Numbers

Confidence Interval Calculator

Calculate confidence intervals for a sample mean or proportion using either raw data or summary statistics

Execution

Run this tool

Fill in the form, run the tool, and review the result in one place.

Prepared example runs

Click an example to fill the form automatically. File inputs still need an upload.

2 examples

Estimate a mean confidence interval from raw data

Provide a sample dataset and use the t critical value to estimate the range for the true mean

{"result":{"center":50.5,"lowerBound":48.4522,"upperBound":52.5478,"marginOfError":2.0478,"criticalValue":2.3646}}

Estimate a proportion confidence interval

Use successes and total trials to compute a confidence interval for a conversion rate or pass rate

{"result":{"proportion":0.7,"lowerBound":0.5998,"upperBound":0.8002,"marginOfError":0.1002,"criticalValue":1.96}}

Inputs

Options are grouped so long tools stay easier to scan.

9 options

ContentPaste or type the main input values.5

Dataset (Optional)textareaOptionalSample Mean (Optional)textOptionalStandard Deviation (Optional)textOptionalSuccess Count (Optional)textOptionalTrial Count (Optional)textOptional

SettingsAdjust formats, ranges, numbers, and modes.4

Interval TypeselectOptionalSample Size (Optional)numberOptionalConfidence LevelselectOptionalDecimal PrecisionnumberOptional

Result

Ready for a run

Run the tool to preview files, text, structured data, or streamed output here.

Samples

Confidence Interval Calculator

Run this tool

Prepared example runs

Inputs

Result

Examples that match this tool

Continue with connected tools and hubs

Prepared example runs

Inputs

Result

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Overview

When to use

How it works

Use cases

Examples

1. Mean Interval from Raw Data

2. Proportion Interval for Conversion Rate

FAQ

Android Image Processing Java Samples

Android Image Processing Kotlin Samples

Web Image Processing Python Samples

Web Image Processing Rust Samples

Average Calculator

Geometric Mean Calculator

Harmonic Mean Calculator

Heat Exchanger LMTD Calculator (Log Mean Temperature Difference)

Statistical Analysis, Tests, and Distribution Tools

Barcode, QR Code, and Label Tools