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Quality Control Charts

Posted on October 16, 2025October 22, 2025 by user

What is a Quality Control Chart?

A quality control (QC) chart is a graphical tool used to determine whether a manufacturing process or product attribute is staying within intended specifications. It plots measured values from random samples over time so you can quickly see whether variation is normal (random) or indicates a systematic problem that needs correction.

Why QC Charts Matter

QC charts help teams:
* Detect process shifts or trends before defects escalate.
* Distinguish between common-cause (random) and special-cause (assignable) variation.
* Guide corrective actions and verify whether changes produce improvement.
* Standardize monitoring so managers and operators respond consistently to out-of-spec conditions.

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How QC Charts Work

A typical QC chart displays:
* A center line (often the process mean).
* Upper and lower control limits that define expected bounds of variation.
* Sample points plotted in sequence (x-axis = sample order/time; y-axis = measured value).

By examining the pattern of plotted points relative to the center line and control limits, you can tell whether variation is within statistical expectations or whether the process is behaving unusually.

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Common Types of QC Charts

Choose the chart type based on the data and the attribute under study:

  • X-bar chart
  • Plots sample means (average of measurements) over time.
  • Common for monitoring the central tendency of a continuous variable.

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  • R (range) chart

  • Plots the range (max − min) within small subgroups to monitor variability.
  • Often used together with x-bar charts.

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  • S chart

  • Plots subgroup standard deviations as an alternative to the R chart for larger subgroup sizes.

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  • np, p, c charts

  • Used for attribute (count) data: numbers or proportions of defective items or defects per unit.

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  • Univariate vs. Multivariate

  • Univariate charts monitor one attribute at a time.
  • Multivariate charts analyze several related attributes simultaneously when variables interact.

Using QC Charts Effectively

  • Sample randomly and consistently (defined subgroup size and sampling frequency).
  • Establish sensible control limits based on historical data or process capability.
  • Train personnel on how to interpret signals (points beyond limits, runs, trends).
  • Investigate special-cause signals promptly and apply corrective actions; continue monitoring to confirm improvement.

Example

Bob suspects his widget press is not aerating the batter correctly. He randomly samples finished widgets at regular intervals, measures buoyancy, and plots the sample means on an x-bar chart. If points begin crossing control limits or show a systematic trend, Bob can investigate the press’s air injection system and correct the problem before many defective widgets are produced.

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Key Takeaways

  • A QC chart visually tracks whether a process or product attribute meets specifications over time.
  • It helps differentiate normal variation from problems that need corrective action.
  • Selecting the appropriate chart (x-bar, R, S, np, etc.) depends on the type of data and sampling scheme.
  • Regular sampling, clear control limits, and trained personnel are essential for effective quality monitoring.

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