Question

Use a median chart to determine if this process is centered.

See the Excel spreadsheet below. Data from the textbook has been entered.

Sample	Observation 1	Observation 2	Observation 3	Observation 4	Observation 5
1	8.06	7.93	8.19	8.45	8.32
2	8.06	8.06	8.06	8.19	8.32
3	8.19	7.67	8.06	8.32	8.19
4	6.89	6.63	6.89	6.63	6.89
5	7.93	8.58	8.19	8.06	8.32
6	8.06	8.06	8.06	8.06	8.06
7	7.54	7.41	7.67	9.36	6.76
8	8.19	7.67	8.06	8.32	8.19
9	8.19	7.67	8.06	8.32	8.19
10	9.62	9.62	9.23	9.49	9.23
11	8.06	8.19	8.06	8.19	8.06
12	8.32	8.19	8.06	7.93	7.93
13	8.19	8.32	8.06	8.19	7.93
14	7.93	7.93	7.93	7.93	7.93
15	8.19	8.32	7.93	8.19	7.93
16	8.32	8.06	8.32	8.06	8.06
17	8.06	8.32	8.19	8.32	8.06
18	7.93	8.06	8.19	8.32	8.45
19	8.06	7.93	7.93	7.93	7.93
20	8.32	8.19	8.06	8.45	8.19

Answer 1

Formula

CL=Median

,

Range =Large value-small value

	Median	Range
1	8.19	0.52
2	8.06	0.26
3	8.19	0.65
4	6.89	0.26
5	8.19	0.65
6	8.06	0
7	7.54	2.6
8	8.19	0.65
9	8.19	0.65
10	9.49	0.39
11	8.06	0.13
12	8.06	0.39
13	8.19	0.39
14	7.93	0
15	8.19	0.39
16	8.06	0.26
17	8.19	0.26
18	8.19	0.52
19	7.93	0.13
20	8.19	0.39

, Median=8.125