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Pie Chart

A pie chart displays mutually exclusive categories as shares of one total. Sector angle represents the category proportion. It is most useful for a small number of categories when the main question concerns composition rather than small differences.

Expected output: A labelled composition chart with a valid total and stated denominator.

01 · Purpose

Why and when to use it

Use it to show how a complete total is divided; use a bar chart when precise category comparison is more important.

Who takes part?

The measurement owner works with people who understand the process and the recorded data. Statistical or measurement-system decisions should involve someone able to check the assumptions and study design.

02 · Application

How to apply it

Start with an agreed measurement purpose, explicit units and trustworthy observations. Identify missing cases and assumptions before calculating.

  1. Define the total population or count being divided.
  2. Check that categories are exclusive and cover the total.
  3. Calculate each count divided by the total.
  4. Label sectors with names and percentages; avoid 3D distortion.
  5. State the period and denominator and check that shares sum to 100%.

03 · Example

A worked measurement example

Original fictional teaching example. Small datasets illustrate the method; they are not proposed as sufficient study sizes. Supplied parameters are assumptions, not estimates from a real process.

Dispatch issue categoryCountShare
Missing stock5050%
Picking correction3030%
Other2020%
Total100100%
Missing stock: 50%Picking correction: 30%Other: 20%
Shares of 100 classified issues.

04 · Interpretation

What the result tells you

Half the classified issues are missing-stock cases. This is a share of these 100 issues, not a 50% failure rate among all orders.

Completion check: A labelled composition chart with a valid total and stated denominator.

05 · Judgement

Mistakes and limitations

Overlapping categories and omitted unknowns invalidate the composition. Small sectors are hard to compare; prefer bars for many categories or close values.

07 · Reading

Sources and further reading

The tool list follows the accepted LeanTrainingLab overview and its reference to Six Sigma+Lean Toolset, second edition (Lunau, editor; Springer, 2013). The book chapters were not available for direct review during this build. Explanations, examples and worksheets are original teaching material. Further reading supplies professional background; local conventions are stated explicitly.