Example of median of continuous data?

a discrete probability distribution, a median m satisfies the inequalities

or

in which a Lebesgue-Stieltjes integral is used. For an absolutely continuous probability distribution with probability density function ƒ, we have

The medians of certain types of distributions can be easily calculated from their parameters:

• The median of a normal distribution with mean μ and variance σ2 is μ. In fact, for a normal distribution, mean = median = mode.
• The median of a uniform distribution in the interval [a, b] is (a + b) / 2, which is also the mean.
• The median of a Cauchy distribution with location parameter x0 and scale parameter y is x0, the location parameter.
• The median of an exponential distribution with rate parameter λ is the natural logarithm of 2 divided by the rate parameter: λ−1ln 2.
• The median of a Weibull distribution with shape parameter k and scale parameter λ is λ(ln 2)1/k.