Control Charts Cheat Sheet

  • /
  • Blog
  • /
  • Control Charts Cheat Sheet

Selecting a Control Chart:

Data Type Measurement Type Subgroup Size Control Chart
Variable Individual 1 Individual & MR (Moving Range)
Variable Continuous 2-9 (small) X-bar & R
Variable Continuous 10+ (large) X-bar & S
Attribute Defective Constant p Chart
Attribute Defective Variable np Chart
Attribute Defect Constant c Chart
Attribute Defect Variable u Chart

Control Chart Limits (UCL, LCL and Mean)

Control Chart Center Line Upper Control Limit (UCL) Lower Control Limit (LCL)
X-bar Chart $$\bar{X}$$ $$\bar{X} + A_2 \bar{R}$$ $$\bar{X} - A_2 \bar{R}$$
R Chart $$\bar{R}$$ $$D_4 \bar{R}$$ $$D_3 \bar{R}$$
S Chart $$\bar{S}$$ $$B_4 \bar{S}$$ $$B_3 \bar{S}$$
p Chart $$\bar{p}$$ $$\bar{p} + 3\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$ $$\bar{p} - 3\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$$
np Chart $$n\bar{p}$$ $$n\bar{p} + 3\sqrt{n\bar{p}(1-\bar{p})}$$ $$n\bar{p} - 3\sqrt{n\bar{p}(1-\bar{p})}$$
c Chart $$\bar{c}$$ $$\bar{c} + 3\sqrt{\bar{c}}$$ $$\bar{c} - 3\sqrt{\bar{c}}$$
u Chart $$\bar{u}$$ $$\bar{u} + 3\sqrt{\frac{\bar{u}}{n}}$$ $$\bar{u} - 3\sqrt{\frac{\bar{u}}{n}}$$

Table of Control Chart Constants:

Sample Size (n) D3 D4 B3 B4 d2 A2
2 0 3.267 0 2.606 1.128 1.880
3 0 2.574 0 1.880 1.693 1.023
4 0 2.282 0.030 1.604 2.059 0.729
5 0 2.114 0.118 1.427 2.326 0.577
6 0.030 2.004 0.185 1.287 2.534 0.483
7 0.118 1.924 0.235 1.182 2.704 0.419
8 0.185 1.864 0.270 1.099 2.847 0.373
9 0.235 1.816 0.296 1.032 2.970 0.337
10 0.270 1.777 0.315 0.975 3.078 0.308
11 0.296 1.744 0.330 0.927 3.173 0.285
12 0.315 1.717 0.342 0.886 3.258 0.266
13 0.330 1.693 0.352 0.850 3.336 0.249
14 0.342 1.672 0.361 0.817 3.407 0.235
15 0.352 1.653 0.369 0.789 3.472 0.223
25 0.435 1.541 0.447 0.668 4.459 0.153
50 0.576 1.427 0.550 0.560 6.864 0.114
100 0.704 1.341 0.620 0.481 10.577 0.080





Similar Posts:

March 26, 2023

Taguchi Loss Function

April 29, 2023

Guide to the 40 TRIZ Principles (Table Format)

April 16, 2023

C – Control Chart Online Calculator

49 Courses on SALE!

>