Confidence Interval for Median Calculator

Calculate Confidence Interval for Median

Quickly find the non-parametric confidence interval for the median of your dataset. Our free online calculator helps you determine the lower and upper bounds for the true population median with a specified confidence level, essential for robust statistical analysis.

Formula:

The Confidence Interval for the Median is determined by first ordering the sample data from smallest to largest. For a given sample size (n) and desired confidence level (1 - α), two specific order statistics (ranked data points) are identified as the lower and upper bounds of the interval. This process relies on the binomial distribution, where the interval [X(k), X(n-k+1)] (where X(i) is the i-th ordered data point) is chosen such that the probability P(Median is within X(k) and X(n-k+1)) is at least (1 - α).

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