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# Confidence Interval For Median Calculator

The median in statistics is the middle value of a data set ordered from largest to smallest. Calculating a confidence interval for a median is more complicated because it is harder to manipulate the median than the mean. This online confidence interval for median calculator helps you to find the CI of a data set with its middle value. Enter the data set and required values, the calculator would automatically update you with the CI for the median.

Confidence Interval

The median in statistics is the middle value of a data set ordered from largest to smallest. Calculating a confidence interval for a median is more complicated because it is harder to manipulate the median than the mean. This online confidence interval for median calculator helps you to find the CI of a data set with its middle value. Enter the data set and required values, the calculator would automatically update you with the CI for the median.

#### Formula:

x = (n x q) - (1.96 x √(n x q x (1 - q))) y = (n x q) + (1.96 x √(n x q x (1 - q))) Where, x = Lower Limit y = Upper Limit n = Sample Size q = Median

### Example:

Find Confidence Interval For Median 0.5 and data set : 1,3,2,6,8,9,10,5.

#### Solution:

Upper Limit of Confidence Interval=(8 × 0.5)-(1.96 × √(8 × 0.5 × (1-0.5)))
=4-(1.96 × √2)
=4-(1.96×1.414213562373095)
=4-2.7718585822512662
=1.2281414177487338
Lower Limit of Confidence Interval=(8 × 0.5)+(1.96 × √(8 × 0.5 × (1-0.5)))
=4+(1.96 × √2)
=4+(1.96×1.414213562373095) =4+2.7718585822512662
=6.7718585822512662
Nearest next Integer Of 1.2281414177487338=2
Nearest next Integer Of 6.7718585822512662=7
2nd data in our data set=Lower Limit of confidence intervals=3
7th data in our data set=Upper Limit of confidence intervals=10
confidence intervals= (3,10).