Confidence Interval Calculator

Calculate your confidence interval fast—no stats degree needed.

Tool Icon Confidence Interval Calculator

Confidence Interval Calculator

Confidence Interval Calculator

Z
CI Result: x̄ ± Z* (σ/√n)
0 . . . ≤ μ ≤ 0
Population Mean (μ) estimate based on provided sample data
Calculation Details:
Margin of Error
0 units
Standard Error
0 units
Degrees of Freedom
0
Interval Width
0 units
Formula Used:
$CI = \bar{x} \pm Z \times (\frac{\sigma}{\sqrt{n}})$
Where:
x̄ = Sample Mean
Z = Critical value from standard normal distribution
σ = Population Standard Deviation
n = Sample Size

About This Tool

Look, I get it—statistics can feel like a foreign language sometimes. You’ve got your sample mean, your standard deviation, your sample size… and then someone throws in “confidence interval” like it’s obvious what that means. Spoiler: it’s not always obvious. That’s where this confidence interval calculator comes in. It’s not flashy. It doesn’t promise to solve world hunger. But if you need to estimate a range where the true population mean probably lies—based on your sample data—it’ll do the math so you don’t have to. I built this because I got tired of digging through textbooks or juggling formulas in Excel every time I needed a quick interval. Whether you’re analyzing survey results, testing a new product feature, or just trying to make sense of some data for a report, this tool gives you a clean, no-nonsense way to calculate a confidence interval with just a few inputs.

Key Features

  • Simple input fields—just enter your sample mean, standard deviation, sample size, and confidence level (like 95% or 99%).
  • Instant results—no waiting, no loading screens. You type, it calculates.
  • Clear output showing both the margin of error and the full confidence interval (lower and upper bounds).
  • Works for both small and large samples—automatically uses the right method (z or t-distribution) based on your data.
  • No sign-up, no ads, no tracking. Just a straightforward tool that respects your time.
  • Mobile-friendly—because sometimes you’re crunching numbers on the go, not just at your desk.

FAQ

Q: Do I need to know advanced stats to use this?
A: Nope. If you know your sample mean, standard deviation, and how many data points you have, you’re good to go. The calculator handles the rest—no need to remember formulas or look up critical values.

Q: What confidence level should I use?
A: Most people go with 95%—it’s the standard in a lot of fields because it strikes a balance between precision and certainty. But if you need more confidence (say, in medical or safety testing), 99% is an option. Just know that higher confidence means a wider interval.