Enter the sigma level into the calculator to determine the corresponding percentage of the process that is defect-free.
Sigma to Percentage Formula
The following formula is used to convert a sigma level to a percentage:
P = (1 - (1 / (10^{(σ / 3)}))) * 100Variables:
- P is the percentage of the process that is defect-free
- σ is the sigma level
To convert a sigma level to a percentage, subtract one from the inverse of ten raised to the power of the sigma level divided by three, and then multiply by 100 to get the percentage.
What is Sigma Level?
Sigma level is a statistical term that measures the capability of a process to perform defect-free work. A higher sigma level indicates a higher percentage of products or services without defects. It is commonly used in Six Sigma methodologies to quantify the quality of a process.
How to Calculate Percentage from Sigma Level?
The following steps outline how to calculate the percentage from a Sigma Level.
- First, determine the sigma level (σ).
- Next, use the formula P = (1 – (1 / (10^(σ / 3)))) * 100.
- Finally, calculate the percentage (P) that represents the defect-free rate of the process.
- After inserting the sigma level and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variable as an example problem to test your knowledge.
Sigma Level (σ) = 6
Using the formula, the percentage of the process that is defect-free is calculated as follows:
P = (1 – (1 / (10^(6 / 3)))) * 100 = 99.9%