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Learn through experiments

Investigate apparent disagreement

Are two reports measuring the same thing?

Entering midway? Revisit Twenty headlines, one observation for the preceding worked example, or start here and use the explanation below.

1 · Try

Start with a concrete question

Compare records that differ in location, date or definition of a working fountain.

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: Are two reports measuring the same thing? Write what you expect and why.

3 · Experiment

Change one thing. Inspect what happens.

  1. Calculate both fractions before deciding whether they conflict.
  2. Inspect dates, populations and definitions.
  3. Select a matched report and compare again.
  4. Write a reconciliation note and identify any unresolved discrepancy.
Experiment inputs
Inputs
Your settings
Mechanism
Calculation below
Evidence
Compare outcomes
Report A working fraction80 %
Report B working fraction60 %

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.
080
  • Report A working fraction (%)80
    Report A working fraction (%): 80Horizontal bar from zero to 80, on the shared zero to 80 numeric axis.
  • Report B working fraction (%)60
    Report B working fraction (%): 60Horizontal bar from zero to 60, on the shared zero to 80 numeric axis.

Follow the calculation

  1. A: Monday 08:00, north building, 12/15 working; “working” means water flows.
  2. B: Tuesday 08:00, whole campus, 18/30 working; same definition.
  3. Different place and time: not a direct contradiction.

Resolve apparent conflict by checking scope, time and definitions before averaging or choosing a preferred source.

Draft a reconciliation memo

Quote or paraphrase each short fixture precisely, align place/time/definition, and state what comparison remains justified.

64/8,000 characters. Drafts save locally and are included in backups. Importing or opening a draft never runs it.

Compare with my earlier draft
One report says 80%, another says 60%. One source must be lying.

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

Inspect an example solution after your attempt
The 80% report covers 12 of 15 north-building fountains on Monday; the 60% report covers 18 of 30 campus fountains on Tuesday. Scope and timing differ. Obtain matched observations before inferring contradiction or change.

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

Investigate apparent disagreement

Compare records that differ in location, date or definition of a working fountain.

Follow the mechanism

12/15 and 18/30 describe different populations, so their percentages alone do not establish contradiction.

A cooling requirement creates a stricter definition than water flow alone.

An evidence table can preserve differences instead of averaging incompatible measurements.

Worked example

A: Monday 08:00, north building, 12/15 working; “working” means water flows.

B: Tuesday 08:00, whole campus, 18/30 working; same definition.

Different place and time: not a direct contradiction.

Calculation

Working fraction = working units / inspected units × 100; compare only after aligning scope, time and definition.

Try a controlled comparison

  1. Calculate both fractions before deciding whether they conflict.

  2. Inspect dates, populations and definitions.

  3. Select a matched report and compare again.

  4. Write a reconciliation note and identify any unresolved discrepancy.

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 report counts 9 fully working devices among 15 inspected. What percentage meets its definition?

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.