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Rank problems on one declared basis

Choose one basis: count, cost, time or another defined burden.. Follow the visual, practise a decision, then check your thinking.

Fictional teaching examples and AI-generated illustrations. Proposed changes and goals are not achieved results. Use the written instructions and check local conditions before applying a method.

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Teaching view 1 of 2

Rank problems on one declared basis

Pareto chart of 50 fictional nonconformities: scratches 24, burrs 16, missing labels 8, other 2. Descending bars use counts; the separate cumulative-percentage axis reaches 48%,80%,96%,100%. The first two categories account for 80% of this example, without establishing a shared cause.
Original OPEX teaching diagram. Follow the steps below, then try the practice question. View full size ↗

A Pareto display ranks categories using one declared basis. Sort the bars from largest to smallest, then calculate cumulative share against the same total. Decide whether the current question concerns frequency, money, time or another burden before drawing the chart. Mixing costs for one category with counts for another produces an invalid ranking. The cumulative line helps show concentration, but it does not promise an eighty–twenty pattern or justify ignoring rare severe events. Use the ranking to select an investigation, then return to the underlying observations and risk context before deciding what to change.

Follow the method

  1. Counts and cumulative contribution
  2. Nonconformities (count)
  3. Category
  4. Cumulative %

Read the example carefully

Counts 24,16,8,2 sum to 50.

Cumulative percentages 48,80,96,100.

Use one basis; a severe rare event can still demand priority.

Teaching view 2 of 2

Choose a priority without confusing counts, time and causes

The frequency record ranks 24, 16, 8 and 2 occurrences with cumulative shares of 48%, 80%, 96% and 100%. Interpretation notes distinguish occurrence priority from proven cause, recovery time and severity.
Original OPEX teaching diagram. Follow the steps below, then try the practice question. View full size ↗

Fictional case: Fern Finishing records 50 nonconformities in one inspection window: 24 scratches, 16 burrs, eight missing labels and two other faults. These exact values remain in the core chart. Team leader Rosa wants to choose a starting investigation. A colleague proposes adding estimated repair dollars to the occurrence counts and calling the combined bars an impact score.

Follow the method

  1. Scratch
  2. Burr
  3. Missing label
  4. Other

Read the example carefully

Use the applicable immediate escalation and containment process while retaining the descriptive frequency ranking. Do not wait for its bar to become large.

Frequency is one decision dimension. A Pareto chart does not authorize ignoring a severe low-frequency condition.

Apply the method

The largest count is not automatically the largest loss

Construct and interpret a ranking on one declared basis, then distinguish a frequency priority from a severity or causal decision.

Fictional case: Fern Finishing records 50 nonconformities in one inspection window: 24 scratches, 16 burrs, eight missing labels and two other faults. These exact values remain in the core chart. Team leader Rosa wants to choose a starting investigation. A colleague proposes adding estimated repair dollars to the occurrence counts and calling the combined bars an impact score.

Role: Team leader and quality analyst

Normal condition

A ranking uses one meaningful unit, a defined observation window and mutually understood categories. The underlying event list remains available for investigation.

The gap

The draft mixes frequency and money and labels the first two categories “80% of our causes”. The record contains occurrences, not verified causes.

  • The categories describe faults and may involve different mechanisms.
  • A rare severe event may deserve a separate immediate response regardless of rank.
Supplied case inputs
CategoryCountIllustrative recovery minutes per event
Scratch242
Burr165
Missing label810
Other230
  1. Freeze the question and basis

    Rosa writes “Which categories contribute most recorded nonconformity occurrences in this window?” She confirms that all four categories use the same recording rules and the same window.

    Why: The ranking becomes reproducible only when its scope and unit are fixed. A category total cannot be compared with another that covers a different period or population.

    Evidence: The title says occurrence count and names the window.

  2. Order and reconcile the bars

    She sorts counts in descending order: 24, 16, 8, 2. The sum is 50. She checks that every logged event belongs to one reported category or is explicitly handled under the collection rule.

    Why: Sorting changes display order, not the underlying evidence. A missing category would distort every later cumulative percentage.

    Evidence: The category total reconciles to fifty recorded nonconformities.

  3. Calculate the cumulative line

    Cumulative counts are 24, 40, 48 and 50. Dividing each by 50 gives 48%, 80%, 96% and 100%. The line uses its own percentage axis.

    Why: The first two bars happen to reach 80% in this dataset. That is an observation, not a rule that the plotting process must force.

    Evidence: The native chart retains count bars and a labelled cumulative-percentage axis.

  4. Compare a different decision separately

    For recovery effort, she creates a separate minutes calculation: 48, 80, 80 and 60 minutes. Total estimated recovery is 268 minutes; burrs and missing labels tie for the largest time burden.

    Why: Multiplying count by an explicitly illustrative per-event duration changes the question. It shows why a frequency ranking need not be the correct priority for every objective.

    Evidence: A second record states minutes, assumptions and its different order; no mixed-unit score is created.

  5. Choose investigation without inventing cause

    Rosa selects scratches for a frequency-focused observation study and flags any severe exceptions through the existing response process. She keeps the rival time-based priority visible for the resource decision.

    Why: A category name does not explain why the fault occurs. The next work must locate conditions, test explanations and verify the consequence of an action.

    Evidence: The decision record says priority for investigation, with cause still unverified.

Completed frequency-priority record
Rank by frequencyCount / cumulative shareNext interpretation
Scratch24 / 48%Largest occurrence category
Burr16 / 80%First two account for 40 of 50
Missing label8 / 96%Lower frequency; may consume more time per event
Other2 / 100%Review severity separately

A rare event is severe

One of the two “other” events involves a potentially significant product risk.

Use the applicable immediate escalation and containment process while retaining the descriptive frequency ranking. Do not wait for its bar to become large.

Frequency is one decision dimension. A Pareto chart does not authorize ignoring a severe low-frequency condition.

The action log records the risk response independently of the improvement-priority list.

A changed ranking with a tie

New fictional week: scratches 12, burrs 18, missing labels 6, other 4. Each event belongs to one category. Recovery minutes per event remain 2, 5, 10 and 30 for this exercise only.

Changed practice inputs
CategoryCount
Scratch12
Burr18
Missing label6
Other4

Your task

  1. Order the frequency bars and calculate all cumulative percentages.
  2. Calculate the separate recovery-minute totals and identify the largest burden.
  3. Write one defensible priority statement without claiming a cause.

Prepare your worksheet

  • Declared basis and window
  • Sorted counts
  • Cumulative calculation
  • Separate time calculation
  • Priority and remaining evidence
Reveal the answer and reasoning

Forty events sort as burr 18, scratch 12, missing label 6, other 4. Cumulative percentages are 45%, 75%, 90% and 100%.

Recovery minutes are scratch 24, burr 90, missing label 60 and other 120, total 294. “Other” is the largest time burden despite the lowest frequency. A team may investigate burr frequency and separately examine the high-time “other” work.

Worked answer record
Frequency rankCountCumulative percentage
Burr1845%
Scratch1275%
Missing label690%
Other4100%

Check these interpretations

  • The first two categories need not equal 80%.
  • A category priority is not a verified cause or an instruction to ignore severity.

Check your work

  • Reconcile 40 events and 294 minutes separately.
  • Explain why the two priority lists differ.
  • Retain the illustrative-duration assumption.

Run a practice session

Materials

  • Count cards
  • Blank cumulative table
  • Separate minutes worksheet
  1. Name the question · 4 minutes

    Which unit is being ranked?

  2. Build the two records · 8 minutes

    Why must minutes not be added to counts?

  3. Complete the changed week · 10 minutes

    Where does the cumulative line finish and why?

  4. Debrief the severe exception · 5 minutes

    Which decision is outside this frequency chart?

Debrief

  • Ask a learner to defend a time-focused priority without altering the count chart.
  • Require a plain-language statement of the uncertainty behind per-event durations.

Sort paper category cards, calculate cumulative totals, then open the answer.

Transfer into the work

Owner: Quality analyst and improvement sponsor

Record: Ranked source-linked chart plus bounded investigation decision

Review: At each comparable reporting window

Evidence: Same basis, complete categories and actual investigation evidence

Revisit collection definitions or choose a different basis when the decision question changes.

Build on reliable methods

Sources and further reading

  • ASQ: Pareto chart ↗

    Rank category totals on one stated measurement basis; cumulative percentages are optional and end at 100%.

    Public primary-source summary; underlying paid standards/forms are not reproduced.
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  • One comparable ranking basis
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