Twemty subgroups of size 5 are obtained for the purpose ofdetermining trial control limits for mean and an R-chart.
| Subgroup | Mean | R |
| 1 | 23 | 5 |
| 2 | 22 | 3 |
| 3 | 24 | 2 |
| 4 | 20 | 4 |
| 5 | 18 | 3 |
| 6 | 17 | 4 |
| 7 | 24 | 4 |
| 8 | 10 | 3 |
| 9 | 16 | 5 |
| 10 | 20 | 4 |
| 11 | 26 | 5 |
| 12 | 21 | 4 |
| 13 | 22 | 4 |
| 14 | 20 | 4 |
| 15 | 23 | 3 |
| 16 | 21 | 6 |
| 17 | 20 | 5 |
| 18 | 18 | 4 |
| 19 | 15 | 3 |
| 20 | 17 | 2 |
A.) Determine the rial control limits for each chart. B.)Explain why there are so many subgroups averages outside thecontrol limits for the mean chart in spite of the fact that theaverages do not vary greatly. C.) What should be done with thosesubgroups whose averages is beyond the limits. D.) Since the numberof points outside the control limits on the mean chart is quitehigh relative to the number of points that are plotted, what mightthis suggest about the type of distruibution from which the datacould have come.
