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Calculators

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A growing library of free and paid for advanced, practical calculators for Lean Six Sigma improvement work, built to support real delivery from Define through to Control. Run the numbers in your browser, sanity-check your data, and keep improvement work moving — no spreadsheets, no downloads, no sign-up required.

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Multiple calculators from this page are scattered throughout the Academy courses — paired with full theory, worked examples, and guided projects. Visitors use the tools. Practitioners understand why they work.

  • ✓ Calculators embedded across Yellow, Green & Black Belt courses
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  • ✓ Use the tool here. Master it inside the course.
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DPMO Calculator
Defects per million
Sigma Level
Process performance
Control Limits
SPC charts with UCL/LCL
Takt Time
Production rhythm
OEE Calculator
Equipment effectiveness
Box Plot
Distribution & outliers
25 Tools
Free, in-browser
DPMO Calculator
Defects per million
Sigma Level
Process performance
Control Limits
SPC charts with UCL/LCL
Takt Time
Production rhythm
OEE Calculator
Equipment effectiveness
Box Plot
Distribution & outliers
25 Tools
Free, in-browser
Category:
Quality & Six Sigma 01

DPMO Calculator

Most Popular

Calculate Defects Per Million Opportunities to measure and benchmark your process quality against Six Sigma performance standards.

QualitySix Sigma3 inputs*
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Quality & Six Sigma 02

Sigma Level Calculator

Most Popular

Convert your defect rate or process yield into a Sigma Level to understand where your process sits on the Six Sigma performance scale.

QualitySix Sigma1 input*
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Quality & Six Sigma 03

Control Limits Calculator

Paste your process data and instantly calculate UCL, CL and LCL for I-MR or X̄-R charts.

QualitySPCData paste*
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Quality & Six Sigma 04

Attribute Sample Size Calculator

Calculate the sample size for pass/fail data using zero-acceptance sampling, proportion estimation, or observed-defects confidence interval analysis.

QualityAcceptance Sampling3 modes*
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Quality & Six Sigma 05

Pareto Chart Calculator

Most Popular

Paste your defect or cost data, rank categories from largest to smallest, and instantly visualise the Pareto principle.

QualityAnalysisData paste*
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Quality & Six Sigma 06

Rolled Throughput Yield Calculator

Calculate the cumulative first-pass yield across multiple process steps to find your true end-to-end quality rate.

QualitySix Sigma2+ inputs*
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Quality & Six Sigma 07

Cost of Poor Quality Calculator

Quantify the total financial impact of defects, rework, scrap, and warranty costs across your operation.

QualityFinance4 inputs*
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Quality & Six Sigma 08

Cp / Cpk Calculator

Most Popular

Measure process capability and centring using Cp and Cpk indices to assess whether your process meets specification limits.

QualityCapability3 inputs*
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Quality & Six Sigma 09

Pp / Ppk Calculator

Measure long-term process performance using overall standard deviation to assess whether your process meets specification limits.

QualityPerformance3 inputs*
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Statistics 01

Box Plot Calculator

Paste your data to instantly visualise the five-number summary, IQR, whiskers, and outliers.

StatisticsAnalysisData paste*
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Statistics 02

Standard Deviation Calculator

Calculate mean, variance, and standard deviation for a dataset with step-by-step workings shown.

Statistics1 input*
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Statistics 03

Sample Size Calculator

Determine the minimum sample size needed for continuous or attribute data given your confidence level and margin of error.

StatisticsSampling3 inputs*
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Statistics 04

Binomial Probability Calculator

Calculate the probability of exactly k successes in n trials given a fixed probability p.

StatisticsProbability3 inputs*
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Statistics 05

P-Value Calculator

Perform a one-sample or two-sample t-test and get the p-value, t-statistic, and decision at your chosen significance level.

StatisticsHypothesis Testing3 inputs*
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Statistics 06

Dataset Analysis

Upload a CSV or Excel file, select a numeric column, and get a full Minitab-style analysis with descriptive statistics, normality test, histogram, and box plot.

StatisticsFile upload*
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Statistics 07

Confidence Interval Calculator

Calculate the confidence interval for a population mean or proportion given sample data.

StatisticsEstimation3 inputs*
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Statistics 08

Correlation Calculator

Paste two columns of data to calculate Pearson r, R², and the regression equation with a live scatter plot.

StatisticsRegressionData paste*
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Statistics 09

Z-Score Calculator

Convert a raw score to a Z-score and find the corresponding probability or percentile.

Statistics3 inputs*
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Lean & Manufacturing 01

OEE Calculator

Calculate Overall Equipment Effectiveness by breaking performance down into Availability, Performance and Quality.

LeanManufacturing3 inputs*
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Lean & Planning 01

Takt Time Calculator

Most Popular

Find the pace at which your process must produce one unit to exactly match customer demand.

LeanPlanning2 inputs*
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Lean & Planning 02

Cycle Time Calculator

Calculate average cycle time from total production time and units produced.

LeanPlanning2 inputs*
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Lean & Planning 03

Lead Time Calculator

Break down total lead time into processing, waiting, and transport components to identify where delays are hiding.

LeanFlow3 inputs*
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Lean & Planning 04

Process Cycle Efficiency Calculator

Calculate the ratio of value-added time to total lead time to understand how lean your process really is.

LeanEfficiency2 inputs*
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Lean & Planning 06

SMED Changeover ROI Calculator

Quantify the financial and capacity gains from reducing changeover time.

LeanPlanning4 inputs*
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Lean & Planning 07

Production Capacity Calculator

Translate available time, cycle time and OEE into a realistic capacity figure.

LeanCapacity4 inputs*
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⚡ Advanced Stats Pack

Unlock 25 Advanced Statistical Tools

ANOVA, Weibull, Gauge R&R, DOE & more. One payment, permanent access.

📊 ANOVA 🔬 Gauge R&R ⚙️ DOE 📈 Weibull
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£4.99 one-off
🔒 Part of the Advanced PackAll 25 tools · £4.99
Advanced 01

One-Way ANOVA Calculator

Test whether the means of three or more groups are statistically equal. Essential for comparing process settings, materials, or operators.

Simulation Lab
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Advanced 02

Attribute Control Charts

Build p-charts, np-charts, c-charts and u-charts for defective or defect count data where individual measurements aren't taken.

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Advanced 03

Chi-Square Test Calculator

Test for independence between categorical variables or goodness-of-fit. Perfect for analysing survey data and defect classification tables.

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Advanced 04

Cross Tabulation Calculator

Analyse relationships between two categorical variables with frequency tables, percentages, and chi-square significance testing.

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Advanced 05

EWMA & CUSUM Chart Calculator

Detect small, sustained process shifts using Exponentially Weighted Moving Average and Cumulative Sum control charts.

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Advanced 06

Fishbone Diagram Maker

Build Ishikawa cause-and-effect diagrams interactively. Map the 6Ms to identify and visualise root causes of process problems.

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Advanced 07

Fractional Factorial Calculator

Design and analyse fractional factorial experiments to screen many factors efficiently with fewer runs than a full factorial.

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Advanced 08

F-Test Calculator

Compare the variances of two populations to determine whether process variation has significantly changed between two conditions.

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Advanced 09

Gage Linearity & Bias Calculator

Assess whether your measurement system produces consistent bias across the full operating range — a key MSA requirement.

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Advanced 10

Gage R&R Calculator

Quantify repeatability and reproducibility in your measurement system. Determine whether variation is from the process or the gauge.

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Advanced 11

Histogram Calculator

Build histograms from raw data with automatic bin sizing, normal distribution overlay, and key descriptive statistics.

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Advanced 12

Multivariate Analysis (PCA)

Reduce complex multi-variable datasets using Principal Component Analysis. Identify the key factors driving variation in your process.

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Advanced 13

Multivariate & Rare-Event SPC

Monitor multiple correlated quality characteristics simultaneously with T² charts and track rare events with g- and t-charts.

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Advanced 14

Nonparametric Tests Calculator

Run Mann-Whitney, Kruskal-Wallis, Wilcoxon and other distribution-free tests when your data doesn't meet normality assumptions.

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Advanced 15

Normality Test Calculator

Test whether your data follows a normal distribution using Anderson-Darling and Shapiro-Wilk before further statistical analysis.

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Advanced 16

1 Proportion Test Calculator

Test whether an observed proportion significantly differs from a target value. Ideal for pass/fail and defect rate comparisons.

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Advanced 17

Paired t-Test Calculator

Compare before-and-after measurements on the same subjects to determine if a process change produced a significant difference.

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Advanced 18

Poisson Probability Calculator

Calculate the probability of a given number of rare events occurring in a fixed interval — used for defect counts and arrival rates.

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Advanced 19

Linear Regression Calculator

Model the relationship between a continuous input and output. Predict process outcomes and quantify factor significance.

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Advanced 20

Response Surface Calculator

Optimise process settings using central composite or Box-Behnken designs. Find the optimal combination of multiple input variables.

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Advanced 21

Run Chart Calculator

Plot process data over time and apply run chart rules to detect non-random patterns, trends, and shifts without control limits.

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Advanced 22

Time Series Forecasting Calculator

Forecast future process performance using moving average, exponential smoothing, and trend decomposition methods.

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Advanced 23

Tolerance Interval Calculator

Calculate statistical tolerance intervals to predict the range that will contain a specified proportion of future process output.

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Advanced 24

2 Proportions Test Calculator

Compare defect rates or pass/fail proportions between two process conditions, machines, or time periods with statistical rigour.

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Advanced 25

Weibull Analysis Calculator

Model product failure rates and predict reliability over time using Weibull distribution fitting. Essential for warranty analysis.

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