homeworks1,2, and 3
Sample Control Chart
| Sample Number | x1 | x2 | x3 | x4 | x5 | Xbar | CL=Xbarbar | UCL | LCL | R | CL=Rbar | UCL | LCL | ||||||
| 1 | -30 | 50 | -20 | 10 | 30 | 8 | |||||||||||||
| 2 | 0 | 50 | -60 | -20 | 30 | ||||||||||||||
| 3 | -50 | 10 | 20 | 30 | 20 | ||||||||||||||
| 4 | -10 | -10 | 30 | -20 | 50 | ||||||||||||||
| 5 | 20 | -40 | 50 | 20 | 10 | ||||||||||||||
| 6 | 0 | 0 | 40 | -40 | 20 | ||||||||||||||
| 7 | 0 | 0 | 20 | -20 | -10 | ||||||||||||||
| 8 | 70 | -30 | 30 | -10 | 0 | ||||||||||||||
| 9 | 0 | 0 | 20 | -20 | 10 | ||||||||||||||
| 10 | 10 | 20 | 30 | 10 | 50 | ||||||||||||||
| 11 | 40 | 0 | 20 | 0 | 20 | ||||||||||||||
| 12 | 30 | 20 | 30 | 10 | 40 | ||||||||||||||
| 13 | 30 | -30 | 0 | 10 | 10 | ||||||||||||||
| 14 | 30 | -10 | 50 | -10 | -30 | Data to be gathered: | |||||||||||||
| 15 | 10 | -10 | 50 | 40 | 0 | m | 20 | ||||||||||||
| 16 | 0 | 0 | 30 | -10 | 0 | n | 5 | ||||||||||||
| 17 | 20 | 20 | 30 | 30 | -20 | A2 | 0.577 | ||||||||||||
| 18 | 10 | -20 | 50 | 30 | 10 | D3 | 0 | ||||||||||||
| 19 | 50 | -10 | 40 | 20 | 0 | D4 | 2.115 | ||||||||||||
| 20 | 50 | 0 | 0 | 30 | 10 | ||||||||||||||
| X-BarBar | Rbar |
Where Xbar is the average of the sample Xbarbar is the grand average, this will be used as the center line on the Xbar Chart m is the number of samples n is the sample size
Control limits for the R chart
Control Chart 1
| Sample number | x1 | x2 | x3 | x4 | x5 | x6 | x7 | x8 | x9 | x10 |
| 1 | 2.5 | 0.5 | 2 | -1 | 1 | -1 | 0.5 | 1.5 | 0.5 | -1.5 |
| 2 | 0 | 0 | 0.5 | 1 | 1.5 | 1 | -1 | 1 | 1.5 | -1 |
| 3 | 1.5 | 1 | 1 | -1 | 0 | -1.5 | -1 | -1 | 1 | -1 |
| 4 | 0 | 0.5 | -2 | 0 | -1 | 1.5 | -1.5 | 0 | -2 | -1.5 |
| 5 | 0 | 0 | 0 | -0.5 | 0.5 | 1 | -0.5 | -0.5 | 0 | 0 |
| 6 | 1 | -0.5 | 0 | 0 | 0 | 0.5 | -1 | 1 | -2 | 1 |
| 7 | 1 | -1 | -1 | -1 | 0 | 1.5 | 0 | 1 | 0 | 0 |
| 8 | 0 | -1.5 | -0.5 | 1.5 | 0 | 0 | 0 | -1 | 0.5 | -0.5 |
| 9 | -2 | -1.5 | 1.5 | 1.5 | 0 | 0 | 0.5 | 1 | 0 | 1 |
| 10 | -0.5 | 3.5 | 0 | -1 | -1.5 | -1.5 | -1 | -1 | 1 | 0.5 |
| 11 | 0 | 1.5 | 0 | 0 | 2 | -1.5 | 0.5 | -0.5 | 2 | -1 |
| 12 | 0 | -2 | -0.5 | 0 | -0.5 | 2 | 1.5 | 0 | 0.5 | -1 |
| 13 | -1 | -0.5 | -0.5 | -1 | 0 | 0.5 | 0.5 | -1.5 | -1 | -1 |
| 14 | 0.5 | 1 | -1 | -0.5 | -2 | -1 | -1.5 | 0 | 1.5 | 1.5 |
| 15 | 1 | 0 | 1.5 | 1.5 | 1 | -1 | 0 | 1 | -2 | -1.5 |
| n=10 |
Control Chart 2
| x1 | x2 | x3 | x4 |
| 120.03 | 120.02 | 120.01 | 120.01 |
| 120.01 | 120 | 120.03 | 119.98 |
| 120.02 | 120.01 | 120 | 120 |
| 120 | 120.03 | 120.04 | 120.01 |
| 120.01 | 120.02 | 120.02 | 119.99 |
| 120.01 | 119.98 | 120.01 | 120 |
| 120 | 120.01 | 120.02 | 119.99 |
| 120 | 120 | 120.02 | 120 |
| 120.03 | 120.02 | 119.99 | 120.02 |
| 120.01 | 120.01 | 120.01 | 119.99 |
| 120.03 | 120.02 | 120.01 | 120 |
| 120.02 | 119.99 | 120 | 120.01 |
| 120.01 | 120.01 | 120 | 120.03 |
| 120 | 120.03 | 119.97 | 119.98 |
| 120.01 | 119.99 | 120 | 119.98 |
| 120.01 | 120 | 120 | 120 |
| 120.01 | 120 | 120.02 | 120.01 |
| 120 | 119.99 | 119.99 | 120.02 |
| 119.99 | 120.03 | 120 | 120.01 |
| 120.02 | 119.98 | 119.99 | 120.01 |
| 120.01 | 120.02 | 119.99 | 120 |
| 119.98 | 120.02 | 119.99 | 119.99 |
| 120 | 120.01 | 120.02 | 120.02 |
| 120.01 | 120.04 | 119.98 | 119.99 |
| 120.03 | 120.01 | 120 | 120.01 |
Pareto Chart and a HIstogra,
| 1. Build a Histogram where you identify the age where people pay less taxes | ||||||
| 2. Using the same data, build a Pareto chart ages where people pay more medical expenses | ||||||
| 3. You are asked to submit both chart and includeoone or two sentences with your conclusions for each chart | ||||||
| 4. Search in Internet for information to support your chart |
R
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UCL
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RAXUCL
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RAXLCL
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deviation standard
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