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Six Sigma: what it is, the principles, DMAIC and the belts

What is Six Sigma? A plain definition, what 6 sigma means in numbers, the principles, DMAIC, the belt levels and how Lean Six Sigma combines it with lean.

Updated October 21, 2026 · 9 min read

By the lean-stack editorial team

Defects per million opportunities

3σ
66,807
4σ
6,210
5σ
233
6σ
3.4

With the conventional 1.5σ shift. Bar lengths are illustrative, not to scale.

Six Sigma is a data-driven method for improving quality by reducing variation and defects in a process. Teams define the problem, measure it, find the root causes with statistics and control the result, usually through a five-phase cycle called DMAIC.

This guide explains what 6 sigma means in numbers, where the method came from, its core principles, how DMAIC works, the belt levels and how Six Sigma fits with lean. Each section links to a deeper page.

Key takeaways

  • Six Sigma reduces variation, so a process gives the same good result every time.
  • A six sigma process, by the usual convention, produces about 3.4 defects per million opportunities.
  • Projects follow DMAIC: define, measure, analyze, improve and control.
  • Belts, from white to master black belt, describe how much training and project experience a person has.
  • Lean Six Sigma pairs lean's focus on flow and waste with Six Sigma's focus on variation.

What is Six Sigma?

Six Sigma is both a measure and a method. As a measure, it describes how often a process produces defects. As a method, it is a structured way of running improvement projects with data.

The core idea is that customers feel variation, not averages. A delivery that is on time on average but sometimes a week late still lets customers down. Six Sigma aims to make the process consistent, then keep it there.

Six Sigma projects are run by trained practitioners, with a sponsor from management and a clear financial or customer goal. They often use statistical tools such as hypothesis tests, regression and designed experiments, alongside simple ones such as the fishbone diagram.

What does 6 sigma mean in numbers?

Sigma (σ) is the Greek letter used for standard deviation, a measure of spread. A process at six sigma has its specification limits six standard deviations from the mean, so very little of its output falls outside them.

By convention, Six Sigma tables allow for the process mean to drift by 1.5 sigma over time. With that shift, six sigma equals about 3.4 defects per million opportunities (DPMO). Four sigma is about 6,210 DPMO and three sigma about 66,807.

Worked calculation (illustrative)

An accounts team checks 1,000 invoices. Each invoice has 5 places where it can go wrong: the customer, the amount, the tax code, the due date and the purchase order number. That gives 1,000 × 5 = 5,000 opportunities. The check finds 37 defects.

DPMO is 37 / 5,000 × 1,000,000 = 7,400. That is a yield of 99.26% per opportunity. Using the usual 1.5 sigma shift, 7,400 DPMO is about 3.9 sigma. So the team sits just below four sigma, with 6,210 DPMO, and a long way from six.

How you count opportunities changes the answer. Count 10 fields per invoice instead of 5 and the same 37 defects give 3,700 DPMO, which looks better without anything changing. Agree the opportunity list once and keep it fixed while you compare results.

You can turn your own defect counts into a sigma level with the Six Sigma calculator, and check how a measured process fits its limits with the process capability calculator.

Where Six Sigma came from

Six Sigma was developed at Motorola in the mid-1980s. Engineer Bill Smith is usually credited with the approach, and Motorola registered Six Sigma as a trademark.

General Electric adopted it across the company in the mid-1990s under chief executive Jack Welch, which made it widely known. It then spread to other manufacturers, banks, hospitals and service companies.

Its statistical roots are older. Walter Shewhart's control charts from the 1920s and W. Edwards Deming's teaching on variation are the base that Six Sigma builds on. See statistical process control.

Six Sigma principles

Most descriptions of Six Sigma come back to a handful of principles.

  1. 01

    Focus on the customer

    Define quality by what is critical to the customer, often written as CTQs (critical to quality requirements). The DMAIC page shows how a complaint becomes a CTQ.

  2. 02

    Use data

    Measure the process and verify causes with data before acting, rather than relying on opinion.

  3. 03

    Reduce variation

    Work on the spread of results, not only the average, because customers feel the bad days.

  4. 04

    Improve the process

    Treat defects as products of the process, and fix the process rather than blaming people.

  5. 05

    Sustain the gain

    Build in controls, such as control charts and standard work, so results do not slide back.

DMAIC: the Six Sigma cycle

  1. Define

    Sets the problem, scope, goal and customer requirements in a project charter.

  2. Measure

    Checks the measurement system and builds a baseline of how the process performs today.

  3. Analyze

    Finds and verifies the root causes of defects and variation.

  4. Improve

    Tests and implements solutions that remove those causes.

  5. Control

    Keeps the gain with a control plan, monitoring and updated standards.

The DMAIC page covers each phase, its tools and the tollgate reviews in more detail. New processes use a variant called DMADV: define, measure, analyze, design and verify.

A DMAIC project: an illustrative case

Here is how one problem might move through all five phases. The numbers are made up to show the flow, not taken from a real company.

  1. D

    Define

    Customers complain about late invoices. The charter states the problem as "23% of invoices go out more than 2 days after shipment" and sets a goal of under 5% within four months. The sponsor is the finance manager.

  2. M

    Measure

    The team checks that shipment and invoice dates in the system match the paperwork, then pulls three months of data as a baseline. Late invoices run at 23%, with a wide spread from day to day.

  3. A

    Analyze

    A Pareto chart shows that 70% of late invoices wait for a missing purchase order number. Testing the data shows that most of them come from customers who order by phone, where no one asks for the number.

  4. I

    Improve

    The team adds the purchase order number as a required field on the phone order form and runs a two-week pilot with one sales desk. Late invoices on that desk fall to 4%.

  5. C

    Control

    The required field goes live for all desks. A weekly control chart of the late invoice rate goes to the finance manager, with a rule to investigate any week above 7%. The project closes when the rate has held for two months.

Six Sigma belts

  1. White belt

    A short introduction to Six Sigma terms and roles, for anyone working near a project. Training is usually short and has no project. See the white belt guide.

  2. Yellow belt

    The basics of DMAIC and simple tools, so a person can take part in projects as a team member, often collecting data for a green belt. See the yellow belt guide.

  3. Green belt

    Enough statistics and project skills to lead smaller projects, often alongside a regular job. Many providers expect one completed project, and some don't. See the green belt guide.

  4. Black belt

    Advanced statistics and change leadership, to lead larger projects full time and coach green belts. Certification usually asks for project experience as well as an exam. See the black belt guide.

  5. Master black belt

    An expert who trains and mentors black belts and helps choose projects for the organization.

Above the belts sits the champion, or sponsor: a senior manager who picks projects that matter to the business and removes the barriers a team cannot. The Six Sigma belts guide compares all five levels and the champion role.

Six Sigma certification

There is no single official body for Six Sigma. Certifications come from professional associations, universities, consultancies and employers, and they differ in exam rigor, project requirements and cost.

Before choosing, check whether the program needs a completed project, whether the exam is proctored, and whether employers in your field recognize it. The Lean Six Sigma certification guide compares providers.

What is Lean Six Sigma?

Lean Six Sigma combines the two approaches. Lean removes waste and speeds up flow, and Six Sigma reduces variation and defects. Together they address both how fast and how reliably a process delivers.

In practice, Lean Six Sigma projects follow DMAIC and use lean tools such as value stream mapping, 5S and kanban alongside statistical ones. The lean vs Six Sigma guide explains where each fits.

Is this a Six Sigma problem?

A Six Sigma project takes months of a trained person's time, so check the problem first. It is a good candidate when several of these are true:

  • It keeps coming back. The same defect or complaint returns after each quick fix.
  • Results vary widely. Performance differs between shifts, sites, teams or systems.
  • It can be measured. You can count the defects or time the process, or could start doing so.
  • The cause is unclear. People disagree about why it happens.
  • It crosses departments. No single team owns the whole process.
  • It shows up in the numbers. Rework, complaints or lost orders are visible to customers or in costs.

If the cause and the fix are already obvious, skip the project and make the change. If the problem is work waiting between steps rather than variation, start with lean, as the next section explains.

When Six Sigma is the wrong tool

Six Sigma works on variation in processes that repeat often and produce data. It fits poorly in three common cases.

Low volume

A process that runs a few times a year, such as a plant shutdown, gives too few data points for the statistics to mean much. A good checklist and a review after each run will do more.

No data, or data you can't trust

If the measurement system is weak, the Measure phase turns into a data project of its own. Sometimes that is the right first step, but call it that.

The problem is flow, not variation

If orders wait in queues between steps, the cure is usually lean work on batch sizes, WIP and handoffs, as covered in lean methodology. Six Sigma can tighten each step while the order still waits days between them.

Known criticisms

The method also has well-known criticisms. The 1.5 sigma shift is a convention from Motorola's early experience, and statisticians have long questioned it as a general rule, so treat sigma levels as a way to compare, not an exact law. Large programs can turn into belt counts and project paperwork. And companies that push Six Sigma into research work have reported a cost to creativity: BusinessWeek described this tension at 3M in 2007.

Common Six Sigma myths

Six Sigma has a reputation for being heavy and statistical. Some of that is earned, but four common beliefs get in the way of using it well.

Myth“It is only for manufacturing”

In practiceIt started at Motorola, a manufacturer, but the method works on invoices, claims, support tickets and hospital admissions: anywhere a process repeats and produces data.

Myth“It is all statistics”

In practiceStatistics help in Measure and Analyze, but most projects rely as much on process maps, customer requirements and teamwork. Some need little more than a Pareto chart and a fishbone diagram.

Myth“Every problem needs a full DMAIC project”

In practiceA problem with an obvious cause and an obvious fix just needs fixing. DMAIC earns its months when the cause is unclear.

Myth“It replaces the judgment of the people doing the work”

In practiceData tests the ideas, and the people closest to the work usually supply them. A project that ignores them tends to miss the real cause.

Six Sigma tools and software

Common Six Sigma tools include SIPOC diagrams, process maps, Pareto charts, fishbone diagrams, measurement system analysis, capability studies, hypothesis tests, designed experiments and control charts.

Statistical packages and project tracking tools support this work. The Six Sigma software and SPC software buying guides list options, and the Lean Six Sigma tools hub covers the rest of the stack.

Frequently asked questions

What is Six Sigma in simple terms?
A method for making a process so consistent that defects become very rare. Teams measure the process, find what causes the variation and fix it, usually through a DMAIC project.
What does 3.4 defects per million mean?
It is the defect rate of a six sigma process, using the convention that the process mean drifts by 1.5 sigma over time. It counts defects per million opportunities, not per million products.
What are the 5 steps of Six Sigma?
Define, measure, analyze, improve and control, known as DMAIC. Each phase ends with a review before the project moves on.
Which Six Sigma belt should I start with?
Yellow belt suits people who support projects, and green belt suits people who will lead their own. The Six Sigma belts guide compares all the levels.
What is the difference between Six Sigma and Lean Six Sigma?
Six Sigma focuses on reducing variation and defects. Lean Six Sigma adds lean's focus on waste and flow, so a project can tackle both delays and errors in the same process.
How do I know if a problem needs a Six Sigma project?
When it keeps coming back after quick fixes, the results vary between shifts or sites, it can be measured and nobody agrees on the cause. If the cause and the fix are already obvious, make the change without a project.

Guides on this topic

Sources

Books and papers show their publication year. Web pages show the month we last checked them.

  1. 1.Mikel Harry and Richard Schroeder, Six Sigma: The Breakthrough Management Strategy (Currency Doubleday, 2000)
  2. 2.Thomas Pyzdek and Paul A. Keller, The Six Sigma Handbook, 4th edition (McGraw-Hill, 2014)
  3. 3.Michael L. George, Lean Six Sigma: Combining Six Sigma Quality with Lean Speed (McGraw-Hill, 2002)
  4. 4.ISO, ISO 13053-1: Quantitative methods in process improvement, Six Sigma, Part 1: DMAIC methodology (International Organization for Standardization, 2011)
  5. 5.Walter A. Shewhart, Economic Control of Quality of Manufactured Product (D. Van Nostrand, 1931)
  6. 6.W. Edwards Deming, Out of the Crisis (MIT Center for Advanced Engineering Study, 1986)
  7. 7.ASQ, Six Sigma Green Belt Certification (CSSGB) (asq.org, checked October 2026)
  8. 8.ASQ, Six Sigma Black Belt Certification (CSSBB) (asq.org, checked October 2026)
  9. 9.Brian Hindo, At 3M, A Struggle Between Efficiency And Creativity (BusinessWeek, June 2007)

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