# Geometric Median

**URL:** <https://discourse.julialang.org/t/geometric-median/85886>\
**Category:** General Usage\
**Created:** [August 17, 2022, 7:31pm UTC](https://discourse.julialang.org/t/geometric-median/85886 "2022-08-17T19:31:49Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Lilith](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/lilith/32/27492_2.png) [@Lilith](https://discourse.julialang.org/u/Lilith)\
**Post date:** [August 17, 2022, 7:31pm UTC](https://discourse.julialang.org/t/geometric-median/85886/1 "2022-08-17T19:31:49Z")

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Is there a package to compute the [geometric median](https://en.wikipedia.org/wiki/Geometric_median) of a multivariate dataset?

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<div class="post-metadata">

**Author:** ![digital\_carver](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/digital_carver/32/33818_2.png) [@digital\_carver](https://discourse.julialang.org/u/digital_carver)\
**Post date:** [August 17, 2022, 7:40pm UTC](https://discourse.julialang.org/t/geometric-median/85886/2 "2022-08-17T19:40:37Z")

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DirectionalStatistics.jl has a [geometric\_median](https://docs.juliahub.com/DirectionalStatistics/9bpEu/0.1.7/autodocs/#DirectionalStatistics.geometric_median-Tuple%7BAbstractVector%7BT%7D%20where%20T%7D) function.

```julia
julia> geometric_median([1, 2, 3])
2.0

julia> geometric_median([0, 1, 1im, 1+1im]) ≈ 0.5+0.5im
true

julia> geometric_median([[0, 0], [0, 1], [1, 0], [1, 1]]) ≈ [0.5, 0.5]
true

```