Six Sigma Logo and Symbol
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.
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.
In six sigma statistics upper case Latin letter N refers to population size
In six sigma statistics lower case Latin letter n refers to sample size
See also: Flowchart symbols · Six Sigma diagrams
Related guides
Last updated: · Published by Lean Six Sigma Training Guide (sixsigmatrainingfree.com) · How this guide is written



