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Calculate the R-chart and X-bar chart limits for the data given below.
Day |
A |
B |
C |
D |
1 |
7.2 |
8.4 |
7.9 |
4.9 |
2 |
5.6 |
8.7 |
3.3 |
4.2 |
3 |
5.5 |
7.3 |
3.2 |
6.0 |
4 |
4.4 |
8.0 |
5.4 |
7.4 |
5 |
9.7 |
4.6 |
4.8 |
5.8 |
6 |
8.3 |
8.9 |
9.1 |
6.2 |
7 |
4.7 |
6.6 |
5.3 |
5.8 |
8 |
8.8 |
5.5 |
8.4 |
6.9 |
9 |
5.7 |
4.7 |
4.1 |
4.6 |
10 |
3.7 |
4.0 |
3.0 |
5.2 |
11 |
2.6 |
3.9 |
5.2 |
4.8 |
12 |
4.6 |
2.7 |
6.3 |
3.4 |
13 |
4.9 |
6.2 |
7.8 |
8.7 |
14 |
7.1 |
6.3 |
8.2 |
5.5 |
15 |
7.1 |
5.8 |
6.9 |
7.0 |
16 |
6.7 |
6.9 |
7.0 |
9.4 |
17 |
5.5 |
6.3 |
3.2 |
4.9 |
18 |
4.9 |
5.1 |
3.2 |
7.6 |
19 |
7.2 |
8.0 |
4.1 |
5.9 |
20 |
6.1 |
3.4 |
7.2 |
5.9 |
Day | A | B | C | D | Mean | Range |
1 | 7.2 | 8.4 | 7.9 | 4.9 | 7.1 | 3.5 |
2 | 5.6 | 8.7 | 3.3 | 4.2 | 5.45 | 5.4 |
3 | 5.5 | 7.3 | 3.2 | 6 | 5.5 | 4.1 |
4 | 4.4 | 8 | 5.4 | 7.4 | 6.3 | 3.6 |
5 | 9.7 | 4.6 | 4.8 | 5.8 | 6.225 | 5.1 |
6 | 8.3 | 8.9 | 9.1 | 6.2 | 8.125 | 2.9 |
7 | 4.7 | 6.6 | 5.3 | 5.8 | 5.6 | 1.9 |
8 | 8.8 | 5.5 | 8.4 | 6.9 | 7.4 | 3.3 |
9 | 5.7 | 4.7 | 4.1 | 4.6 | 4.775 | 1.6 |
10 | 3.7 | 4 | 3 | 5.2 | 3.975 | 2.2 |
11 | 2.6 | 3.9 | 5.2 | 4.8 | 4.125 | 2.6 |
12 | 4.6 | 2.7 | 6.3 | 3.4 | 4.25 | 3.6 |
13 | 4.9 | 6.2 | 7.8 | 8.7 | 6.9 | 3.8 |
14 | 7.1 | 6.3 | 8.2 | 5.5 | 6.775 | 2.7 |
15 | 7.1 | 5.8 | 6.9 | 7 | 6.7 | 1.3 |
16 | 6.7 | 6.9 | 7 | 9.4 | 7.5 | 2.7 |
17 | 5.5 | 6.3 | 3.2 | 4.9 | 4.975 | 3.1 |
18 | 4.9 | 5.1 | 3.2 | 7.6 | 5.2 | 4.4 |
19 | 7.2 | 8 | 4.1 | 5.9 | 6.3 | 3.9 |
20 | 6.1 | 3.4 | 7.2 | 5.9 | 5.65 | 3.8 |
Average= | 5.94125 | 3.275 |
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