
314 Quality management for organizations using Lean Six Sigma techniques
1
Subgroup
number
Calculations for average and range control charts
1. Calculate basic averages from measured values
2. Calculate upper and lower control limits (UCL and LCL)
Subgroup
size
2 1.8800 3.268
2.574
2.282
2.114
2.004
1.924
1.864
1.816
1.777
0
0
0
0
0.076
0.136
0.184
0.223
1.023
0.729
0.577
0.483
0.419
0.373
0.337
0.308
3
4
5
6
7
8
9
10
Average chart
Range chart
A
2
D
3
D
4
Subgroup measurements
Total
Average (= To tal/k)
X
1
X
2
X
3
X
4
X
Average Range
R
2
3
24
k
25
2
5
3
3
1
3
4
4
9
3
Use the number of measurements in each subgroup to
select the values from this table for UCL and LCL calculation.
33
7
1
9
3
3
6
4
4
5
3 = 2 + 3 + 1 + 6
A
2
= 0.729
D