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I was trying to adapt the BoxWhiskerChart to obtain a minimalistic quartile plot, like this:

Quartile plot

What I obtained is the plot below that is, however, unsatisfying; the median markers should be circles, but they are instead slightly squared.

Quartile plot with wrong median markers

The code:

data = Table[
   RandomVariate[NormalDistribution[μ, 1], 100], {μ, 
    RandomInteger[{-2, 2}, 10]}];
filledCircle[size_] := Graphics[{Black, Disk[]}, ImageSize -> size];
  {{"Whiskers", Black},
   {"MedianMarker", filledCircle[10], Black},
   {"Fences", None}},
  ChartBaseStyle -> White,
  Frame -> False,
  Method -> {"BoxRange" -> (Quantile[#, 
        Range[0, 1, 1/4], {{1/2, 0}, {0, 1}}] &)}

As an alternative, I've tried to rasterize the circles; the shape is now correct, but we get a lateral shift of the median marker.

filledCircle[size_] := Rasterize[Graphics[{Black, Disk[]}, ImageSize -> size]];

Quartile plot with shift

Does anyone have a better approach or solution? Or should I just build my own function?

share|improve this question
Not sure how this helps, when I run your code the circles are definitely more circular than the ones shown in your first example, when zoomed to 300%, the left rightish quadrant has slightly octagonal edges, but the rest is circular. I'm on 8.0.4 on Linux. – image_doctor Oct 31 '12 at 19:05
@image_doctor If I set filledCircle[50] then they look more circular, but I'm looking for a solution with smaller circles. – VLC Oct 31 '12 at 19:12
Does filledCircle[size_] :=Style[Graphics[{Black, Disk[]}, ImageSize -> size], Antialiasing -> True] give something close to what you need? – kglr Nov 1 '12 at 0:46
up vote 5 down vote accepted

The disks aren't getting antialiased. (This is probably leaking from turning off antialiasing for the lines and rectangles.)

If you turn antialiasing back on:

filledCircle[size_] := 
    Graphics[{Black, Style[Disk[], Antialiasing -> True]}, 
        ImageSize -> size]

it should look better:

enter image description here

share|improve this answer
Thanks! It looks like that the problem is solved. I like your solution better, because it gives more freedom in defining the shape of the marker than using symbols like \[FilledCircle] and the like. – VLC Nov 1 '12 at 8:34

I would use a FilledCircle rather than creating the Disk:

data = Table[RandomVariate[NormalDistribution[μ, 1], 100], {μ, 
RandomInteger[{-2, 2}, 10]}];

                {{"Whiskers", Black},
                {"MedianMarker", Style[\[FilledCircle], 45], Black},
                {"Fences", None}},
                ChartBaseStyle -> White,  Frame -> False,  
                Method -> {"BoxRange" -> 
                (Quantile[#,Range[0, 1, 1/4], {{1/2, 0}, {0, 1}}] &)}

Here is an example with the typical format overlaid:

                     {{"Whiskers", Black},
                     {"MedianMarker",Style[\[FilledCircle], 30], Black},       
                     {"Fences", None}},
                     ChartBaseStyle -> White, Frame -> False, 
                     Method -> {"BoxRange" ->
                    (Quantile[#,Range[0, 1, 1/4], {{1/2, 0}, {0, 1}}] &)}],
      BoxWhiskerChart[data, {{"Fences", None}},ChartBaseStyle ->Opacity[.75]]

enter image description here

share|improve this answer
But those are also shifted. – VLC Oct 31 '12 at 19:09
what operating system are you using VLC? – chuy Oct 31 '12 at 19:20
@chuy Os X 10.6.8 – VLC Oct 31 '12 at 19:22
Changed to a filled circle. Looks better now I think. – David Slater Oct 31 '12 at 19:27

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