A confidence interval for a median can be found by using these formulas to define positions in

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A confidence interval for a median can be found by using these formulas

to define positions in the set of ordered data values. Suppose a data set has 30 values, and you want to find the 95% confidence interval for the median. Substituting in the formulas, you get

Arrange the data in order from smallest to largest, and then select the 10th and 21st values of the data array; hence, X10 < median < X21.
Using the previous information, find the 90% confidence interval for the median for the given data.

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