Question

How to find the mean and standard deviations from the below control chart and calculate defect rate

Subgroup	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
1	3.757	3.753	3.744	3.755	3.757	3.741	3.746	3.746	3.760	3.741	3.749	3.746	3.743	3.755	3.745	3.748	3.757	3.740	3.756	3.742	3.752	3.746	3.745	3.752
2	3.749	3.739	3.745	3.753	3.760	3.749	3.743	3.753	3.755	3.745	3.751	3.749	3.751	3.744	3.751	3.746	3.747	3.739	3.757	3.753	3.751	3.753	3.762	3.755
3	3.751	3.747	3.740	3.753	3.751	3.745	3.753	3.747	3.757	3.751	3.757	3.744	3.745	3.753	3.747	3.755	3.756	3.752	3.749	3.754	3.749	3.741	3.753	3.753
4	3.755	3.751	3.741	3.749	3.754	3.742	3.751	3.755	3.757	3.741	3.754	3.757	3.739	3.755	3.751	3.755	3.759	3.744	3.755	3.743	3.753	3.746	3.750	3.749
5	3.749	3.751	3.742	3.739	3.750	3.743	3.747	3.758	3.749	3.740	3.755	3.737	3.750	3.754	3.744	3.749	3.751	3.745	3.744	3.741	3.755	3.743	3.744	3.754
6	3.759	3.744	3.743	3.747	3.753	3.742	3.751	3.756	3.741	3.741	3.753	3.749	3.747	3.766	3.745	3.749	3.756	3.757	3.741	3.748	3.750	3.744	3.750	3.756
n	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6
A2	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483	0.483
D3	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
D4	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004	2.004
X-bar	3.753	3.748	3.743	3.749	3.754	3.744	3.749	3.753	3.753	3.743	3.753	3.747	3.746	3.755	3.747	3.750	3.754	3.746	3.750	3.747	3.752	3.746	3.751	3.753
X-bar-bar	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749	3.749
UCL	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755	3.755
LCL	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743	3.743
R	0.010	0.014	0.005	0.016	0.010	0.008	0.010	0.012	0.019	0.011	0.008	0.020	0.012	0.022	0.007	0.009	0.012	0.018	0.016	0.013	0.006	0.012	0.018	0.007
R-bar	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012	0.012
UCL	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025	0.025
LCL	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000

Mean
Standard Deviation
Target	3.75
Tolerance	0.005		Lower	Upper	Total
		Spec
		Delta
		Z
		P

Answer 1

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