statistics probability

Confidence Interval Calculator for the Mean

Inferential statistics tool. Builds plausible range for population parameter $\mu$ with 90%, 95%, or 99% confidence level.

Input Parameters

Sample Mean (x̄)

Sample Standard Deviation (s)

Sample Size (n)

Confidence Level

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Margin of Error ME = Z * (s / √n). Lower Bound = x̄ - ME. Upper Bound = x̄ + ME.

In-Depth Guide & Mathematical Methodology

📊 Confidence Intervals & Margin of Error

Confidence Level (95%): If we repeated sampling 100 times, 95 of the intervals would contain the true population mean μ.

Margin of Error (ME): ME = Z × (s / √n). Larger n reduces ME.

Frequently Asked Questions (FAQ)

What is the Confidence Interval Calculator for the Mean and how does it work?

Inferential statistics tool. Builds plausible range for population parameter $\mu$ with 90%, 95%, or 99% confidence level.

How do I use this Confidence Interval Calculator for the Mean?

Enter Sample Mean ($\bar{x}$). Enter Sample Standard Deviation ($s > 0$). Enter Sample Size ($n \ge 2$). Select Confidence Level (90%, 95%, or 99%). View Lower Limit and Upper Limit of the Confidence Interval.

What mathematical formula is used in this calculation?

Margin of Error ME = Z * (s / √n). Lower Bound = x̄ - ME. Upper Bound = x̄ + ME.

Is the Confidence Interval Calculator for the Mean on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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