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Six Sigma Logo and Symbol

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The Six Sigma symbol is the number 6 written with the lowercase Greek letter sigma (σ). Sigma is the usual symbol for a population standard deviation — a measure of spread. “Six Sigma” is a quality goal: keep the process so tight, and so well centered, that even several standard deviations of variation still fall inside the specification.

This page explains that idea, then keeps the logo gallery and the other statistical symbols already used on the site.

Normal curve showing standard deviations around the mean relative to specification limits A bell curve centered on mu. Tick marks show plus and minus one, two, and three sigma. Vertical specification lines sit farther out, near plus and minus six sigma, to illustrate a process with plenty of room inside the spec. σ measures spread · 6σ is a capability goal μ (mean) −1σ +1σ −2σ +2σ −3σ +3σ LSL USL A “Six Sigma” process places the nearest spec many standard deviations from the mean — far more room than a typical ±3σ habit.
The symbol is not a logo first. It is a statement about variation: σ is spread, and six is an ambitious number of those spreads inside the specification.

What 6 and σ are saying

In statistics, σ (sigma) is the population standard deviation. s or SD is often used for a sample. μ (mu) is the population mean, x̄ (x-bar) is a sample mean, and N is population size. Those symbols appear in the gallery below because they show up constantly in control charts, capability studies, and exam items.

A process at a “Six Sigma” quality level is one whose width and centering leave about six standard deviations between the mean and the nearest specification limit (before any convention about a mean shift). Two numbers get quoted, and they are not the same:

  • If a normal process is perfectly centered and the specs sit at ±6σ, the long-run defect rate is a few parts per billion.
  • The well-known 3.4 defects per million opportunities figure comes from a common Six Sigma convention that allows a 1.5σ shift of the mean over time. With that shift, the remaining distance to the spec is 4.5σ, which corresponds to about 3.4 DPMO. When an exam or a vendor mentions 3.4 DPMO, they are using that convention — not the zero-shift math.

None of this replaces a capability study. Symbols do not make a process capable; data and a stable process do. For process behavior over time, start with statistical process control charts and the core metrics.

Logos versus statistical symbols

The “6σ” mark used on belts, slides, and certificates is a brand-style emblem. There is no single official logo that every company must use. The gallery on this page shows color variants people have used, plus the DMAIC wheel, which is a method symbol rather than a statistical one. For mapping symbols used on process maps — terminators, decisions, inventory triangles — use commonly used Lean Six Sigma flowchart symbols.

Exam notes

You should be able to identify σ as standard deviation, μ as the mean, x̄ as a sample mean, and N as population size, and to explain what “Six Sigma quality” is aiming at. If a question cites 3.4 DPMO, look for the 1.5σ shift convention. If it asks about a centered normal process at ±6σ with no shift, the defect rate is much lower than 3.4 per million.

The original logo gallery and the other symbols follow. See also flowchart symbols, SPC charts, and the Body of Knowledge.

Lean Six Sigma Symbol

six sigma symbol
Six sigma symbol is a combination of the number 6 and the lower-case Greek letter σ which stands for standard deviation in statistics.This is a symbol of a quality improvement methodology which uses a variety of management tools (diagrams) and statistical analysis methods to remove defect causing variation from manufacturing and service delivery processes leading to increased customer satisfaction and profitability. 

Six Sigma Symbol Gallery

Find various six sigma logos in this gallery ranging from green to multi color combinations.
six sigma symbol black and blue
white green black six sigma emblem
6 sigma purple logo
black and red 6 sigma symbol
DMAIC symbol of lean six sigma
six sigma logo in a blue circle

Other Six Sigma Symbols

There are other symbols which are frequently used throughout lean six sigma projects. It is important to be familiar with these symbols not only for six sigma certification candidates pursuing self guided six sigma training but also for long time practitioners
greek letter sigma standard deviation

Lower case Greek letter Sigma denotes standard deviation in statistics. S and SD letters are also used to denote this measure of data dispersion

Mu population mean six sigma symbol



Lower case Mu is used to denote population mean

xbar six sigma symbol


Xbar is used to denote a sample mean

See also:
  • Choosing a Right Parametric Test
  • Choosing a Right Control Chart
  • Z Table
  • T Distribution Table
  • Pareto Chart and Analysis
  • About Six Sigma Certification
N population size statistics


In six sigma statistics upper case Latin letter N refers to population size

Other Six Sigma Symbols


In six sigma statistics lower case Latin letter n refers to sample size

See also: Flowchart symbols · Six Sigma diagrams

Related guides

  • Attribute MSA (agreement analysis)
  • ANOVA and non-parametric tests
  • Correlation and regression
  • Normality and data transformation
  • Sample size and sampling
  • Statistical distributions
  • ASQ free training guide
  • Free Lean Six Sigma training guide
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Last updated: November 11, 2026 · Published by Lean Six Sigma Training Guide (sixsigmatrainingfree.com) · How this guide is written