Confidence Interval Lower Bound Upper Bound Calculator

Confidence Interval Lower Bound & Upper Bound Calculator





Confidence intervals are crucial in statistics, providing a range of values within which we can be confident that the true population parameter lies. The lower bound and upper bound of this interval give us a sense of the uncertainty around our estimate.

  1. Enter your sample size, confidence level, mean, and standard deviation.
  2. Click ‘Calculate’.
  3. View your results below the calculator.

The formula for calculating the confidence interval is:

mean ± (z * (std_dev / sqrt(sample_size)))

Where ‘z’ is the z-score corresponding to your confidence level.

Comparison of Confidence Intervals at Different Levels
  • Always use the appropriate z-score for your desired confidence level.
  • Ensure your sample size is large enough for accurate results.
  • Consider using a t-distribution if your sample size is small.
What is a z-score?

A z-score indicates how many standard deviations an element is from the mean.

Confidence Interval Calculator Confidence Interval Example

Learn more about confidence intervals

Watch a video explanation

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