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Learn through experiments

Compare a policy’s distribution of benefits

Can equal total benefits reach different groups?

Entering midway? Revisit Translate a dramatic headline for the preceding worked example, or start here and use the explanation below.

1 · Try

Start with a concrete question

Three fictional repair plans serve north and south regions with whole-plan budget requirements.

Try the initial inputs, then write a prediction before changing one setting. All calculations run locally on your CPU.

Go directly to the experiment · Review basic mathematics

2 · Predict

What do you expect?

Before changing a setting: Can equal total benefits reach different groups? Write what you expect and why.

3 · Experiment

Change one thing. Inspect what happens.

  1. Compare the two six-unit policies at equal budget.
  2. Inspect benefit distribution as well as totals.
  3. Try the larger plan below its funding requirement.
  4. Write a recommendation with a fairness criterion, missing population evidence and a review date.
Experiment inputs
Inputs
Your settings
Mechanism
Calculation below
Evidence
Compare outcomes
Budget used6 budget units
North restored taps8 taps
South restored taps2 taps

Compare the current results

Every bar starts at zero and uses the same numeric scale in this chart. The upper bound automatically adjusts to the largest current value (at least 1), so compare the numbers when changing inputs. Units and quantities come from each label; different kinds of quantity are not interchangeable. Displayed values are rounded to at most six significant digits.
08
  • North restored taps (taps)8
    North restored taps (taps): 8Horizontal bar from zero to 8, on the shared zero to 8 numeric axis.
  • South restored taps (taps)2
    South restored taps (taps): 2Horizontal bar from zero to 2, on the shared zero to 8 numeric axis.

Follow the calculation

  1. Plan: central repairs; needs 6 budget units. Available=6.
  2. Whole plan funded: north gains 8; south gains 2.
  3. Both regions begin with 10 broken taps. Counts say nothing about population size, distance, disability access or cost per user.

Compare total benefit and its distribution. State the fairness criterion and identify missing evidence before defending a policy.

Write a policy recommendation

Compare total and regional benefit, budget feasibility, a stated fairness criterion, missing evidence and an accountable next step.

84/8,000 characters. Drafts save locally and are included in backups. Importing or opening a draft never runs it.

Compare with my earlier draft
Choose the biggest plan because more is always better. Distribution does not matter.

Explain what you changed and why in your observation notes. Text differences do not establish quality.

Inspect an example solution after your attempt
With six units, central and distributed plans each restore ten taps. The distributed plan restores five in each region; central restores eight north and two south. Choose a criterion explicitly and collect population and access data. The ten-unit upgrade is infeasible at this budget.

This is one worked example. Test another input and explain its limitations.

Captures keep your inputs, prediction and observation. Results are recalculated from those inputs. Resetting inputs keeps your captures and challenge history.

4 · Understand

Explain the mechanism

Compare a policy’s distribution of benefits

Three fictional repair plans serve north and south regions with whole-plan budget requirements.

Follow the mechanism

Central and distributed repairs both restore ten taps but allocate them differently.

The larger plan cannot start below ten units in this whole-plan fixture.

Equal taps do not imply equal access: population, distance and accessibility need evidence.

Worked example

Plan: central repairs; needs 6 budget units. Available=6.

Whole plan funded: north gains 8; south gains 2.

Both regions begin with 10 broken taps. Counts say nothing about population size, distance, disability access or cost per user.

Calculation

Total restored = north restored + south restored, only when budget ≥ whole-plan cost.

Try a controlled comparison

  1. Compare the two six-unit policies at equal budget.

  2. Inspect benefit distribution as well as totals.

  3. Try the larger plan below its funding requirement.

  4. Write a recommendation with a fairness criterion, missing population evidence and a review date.

What this does not establish

  • All messages, people, documents and outcomes here are original fictional teaching fixtures; results are not measurements of real organizations.
5 · Apply

Try a fresh case

A plan restores 4 taps in one region and 8 in another at a cost of 6 budget units. How many taps per budget unit are restored?

This is a public practice check. Retries support learning; matching a number does not certify independent proficiency.

Take the investigation further

Choose any extension. These are project prompts for you to carry out; they are not automatically assessed.

School investigation

Create a new case with different numbers and explain your decision to a classmate.

College investigation

Implement or analyze a fresh case, document assumptions and compare at least two alternatives.

Workplace investigation

Prepare a decision artifact with evidence, operating constraints, an owner and a follow-up measurement.

6 · Continue

Keep the evidence, choose your next step

Completion records your own decision that you have worked through this investigation. Practice checks and independent project evidence are separate.