Home / DMAIC / Measure

Measure · Tool guide 30 of 40

Spread Parameter Range

The range is the largest observation minus the smallest. It describes the full observed width of a dataset. It depends only on two observations and usually increases as a larger sample explores more of the distribution.

Expected output: An observed range with coverage and limitations stated.

01 · Purpose

Why and when to use it

Use it as a simple observed-spread summary or as a component of appropriate subgroup control-chart methods.

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. Check units and included observations.
  2. Identify the minimum and maximum.
  3. Subtract the minimum from the maximum.
  4. Report the sample size and period.
  5. Compare with other spread measures and investigate extreme cases.

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.

Sample 2, 4, 4, 6, 9 minutesResult
Minimum / maximum2 / 9
Range9 − 2 = 7 minutes

04 · Interpretation

What the result tells you

Seven minutes is the distance between the observed extremes. It does not define the range that future observations must fall within.

Completion check: An observed range with coverage and limitations stated.

05 · Judgement

Mistakes and limitations

A single unusual reading can dominate the range. Do not compare ranges from very different sample sizes as if they represented equivalent precision.

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.