Question: 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

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

n+1 2 L = n - U+1 U = + Vn a/2

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

n 2 (round up)

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

n+1 2 L = n - U+1 U = + Vn a/2 n 2 (round up)

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