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Control Chart Generator

Statistical Process Control & Quality Monitoring

Control Chart Generator

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Process Control Chart

10.54910.42910.1909.9519.83112345678910Sample NumberValue (mm)LegendCenter LineControl Limits (±3σ)Warning Limits (±2σ)In Control PointsOut of Control PointsTrending Points

Control Limits

UCL: 10.5492

Center Line: 10.1900

LCL: 9.8308

Std Dev: 0.1197

Process Status

Status:High Variation

Out of Control: 0 points

Trending: 0 points

Data Summary

Sample Size: 10

Range: 0.4000

Mean: 10.1900 mm

Control Chart Rules & Interpretation

Out of Control Signals:

  • Any point beyond control limits (±3σ)
  • 7+ consecutive points on one side of center line
  • 2+ consecutive points beyond warning limits (±2σ)
  • Unusual patterns or trends

Process Capability:

  • Cpk ≥ 1.33: Excellent capability
  • Cpk ≥ 1.0: Adequate capability
  • Cpk < 1.0: Poor capability
  • Cp: Potential capability (centered process)

📊 About Control Charts

Control charts are statistical tools used to monitor process performance over time and detect when a process goes "out of control."

Key Components

  • • Center Line (CL) - Process average
  • • Upper Control Limit (UCL) - +3σ
  • • Lower Control Limit (LCL) - -3σ
  • • Warning limits at ±2σ

Applications

  • • Manufacturing quality control
  • • Service process monitoring
  • • Healthcare performance tracking
  • • Financial process control

🎯 Control Chart Types

Variable Data Charts

  • X̄-R Chart: Sample average and range
  • X̄-S Chart: Sample average and standard deviation
  • I-MR Chart: Individual values and moving range

Attribute Data Charts

  • p-Chart: Proportion defective
  • np-Chart: Number defective
  • c-Chart: Count of defects
  • u-Chart: Defects per unit

🏭 Practical Example

Scenario: Automotive Parts Manufacturing

A manufacturer produces engine pistons with a target diameter of 85.00mm ± 0.10mm. Quality control measures 5 pistons every hour:

Process Monitoring:
  • • Sample size: 5 pistons per subgroup
  • • Frequency: Every hour (24 subgroups/day)
  • • Chart type: X̄-R Chart for continuous monitoring
  • • Specification limits: 84.90 - 85.10mm
Results Analysis:
  • • Process average: 85.02mm (slightly high)
  • • Process variation: ±0.03mm (excellent control)
  • • Cpk = 1.67 (process very capable)
  • • Action: Minor adjustment to center process

⚠️ Out of Control Signals

Pattern Recognition

  • Rule 1: Any point beyond ±3σ limits
  • Rule 2: 9+ consecutive points on one side
  • Rule 3: 6+ consecutive increasing/decreasing
  • Rule 4: 14+ alternating up and down
  • Rule 5: 2/3 consecutive beyond ±2σ

Corrective Actions

  • Investigate: Find root cause immediately
  • Adjust: Make process corrections
  • Document: Record actions taken
  • Monitor: Verify improvement
  • Prevent: Implement preventive measures