Experiment 05 / Decision Field

See the whole
decision.

What happens when the reference and one reading can both move? A single map reveals every region where the mean or median is closer, every midpoint tie, and the surprising lines where all targets tie.

One exact map / two moving axes

Drag to discover the boundary.

Target runs left to right; fifth reading runs bottom to top. Set either value precisely below or drag the crosshair. The colored regions come from the equations, not a sampled image.

B / four target-specific reversals
  1. 40
  2. 42
  3. 50
  4. 60
  5. 68
0100
0100
Closer estimate for every target and fifth readingDrag anywhere inside the field
0255075100 0255075100 TARGET →↑ FIFTH READING
Mean closerMedian closerMidpoint tieAll-target tie

The white frontier

One target ties here.

At the current fifth reading, the estimates are equally far from target 51. It is exactly their midpoint.

The dashed horizontal lines

3

Readings tie for every target.

When mean and median are the same number, changing the target cannot separate them. Fifth readings: 18 · 48 · 58.

Target 52 · fifth 68 · Mean closer

Mean / absolute error52 / 0
Median / absolute error50 / 2

Exact geometry: mean = (40 + 42 + 50 + 60 + moving reading) ÷ 5; median = clamp(moving reading, 42, 50). Where these estimates differ, the tie target is their midpoint. Where they match, the entire target row ties.

Change the shape

Three fields, three stories.

For a single axis and exact turning points, use Target Lens or Flip Point. This field combines both questions.

Carry the map

Share an exact view.

The link preserves four fixed readings and the current target and fifth reading. The recipient can drag around the same exact field.

All six numbers appear in the URL. Use invented or public values. The target is a chosen reference, not independently measured truth. The field is computed locally in your browser.