Double-triangular Distribution is the combination of two triangles, each with an area of 0.5. The mode is also the median.


The variance is:

Note: the variance is the same as for the triangular distribution.
The probability density is:

And the cumulative distribution function:



The double-triangular is quite unnatural. It is highly unlikely to be a proper representation of uncertainty. Moreover, estimating the median is, in my view, more difficult than the estimating the most likely value (mode).
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