Find the Z-score farthest from 0 for these values. Would this value be considered an outlier?...

Find the Z-score farthest from 0 for these values. Would this value be considered an outlier? Why or why not?


7.82
8.21
8.9
8.61
7.18
7.63
8.94
8.44
8.43
8.2
7.5
8.57
8.79
7.53
8.86
8.88
7.73
6.78
8.07
7.96
8.3
8.43
9.06
9.85
8.93
7.44
9.19
8.75
7.86
8.39
7.68
7.18
8.24
6.93
9.01
6.5
7.79
9
7
5.02
6
8.33
9.05
7.46
8.49
9.14
8.42
8.52
8.39
8
7.25
7.81
8.8
10.45
9.61
8.16
7.04
8.26
8.75
7
7.64
7.98
8.55
7.32
6.36
9.19
7.93
6
7.83
6.14
7.89
7.5
7.54
8
7.93
7.43
7.63
7.83
8.18
8.24
7.4
8.34
8.46
8.66
8.57
8.23
7.05
7.96
7.71
8.82
7.68
8.27
5.75
6.9
7.43
7.6
8.46
8.09
7.13
9.8

Expert Solution

Mean of values = 7.9993

Variance of values = 0.801093

Standard deviation of values = 0.895

( To obtain these values store values in excel from C2 to C101 in column X) and use the respective formula, mean : =AVERAGE(C2:C101), variance : =VARP(C2:C101), std deviation : =SQRT(C103)

and then obtain Z = ( X - mean )/SD

assign outlier if Z value is greater than +3 or less than -3

X	Z	Status
7.82	-0.20033	outlier
8.21	0.235409	not outlier
8.9	1.006326	not outlier
8.61	0.682318	not outlier
7.18	-0.91538	not outlier
7.63	-0.41261	not outlier
8.94	1.051017	not outlier
8.44	0.492381	not outlier
8.43	0.481209	not outlier
8.2	0.224236	not outlier
7.5	-0.55785	not outlier
8.57	0.637627	not outlier
8.79	0.883426	not outlier
7.53	-0.52434	not outlier
8.86	0.961635	not outlier
8.88	0.983981	not outlier
7.73	-0.30088	not outlier
6.78	-1.36229	not outlier
8.07	0.078991	not outlier
7.96	-0.04391	not outlier
8.3	0.335963	not outlier
8.43	0.481209	not outlier
9.06	1.18509	not outlier
9.85	2.067734	not outlier
8.93	1.039844	not outlier
7.44	-0.62489	not outlier
9.19	1.330335	not outlier
8.75	0.838736	not outlier
7.86	-0.15564	not outlier
8.39	0.436518	not outlier
7.68	-0.35674	not outlier
7.18	-0.91538	not outlier
8.24	0.268927	not outlier
6.93	-1.1947	not outlier
9.01	1.129226	not outlier
6.5	-1.67512	not outlier
7.79	-0.23384	not outlier
9	1.118053	not outlier
7	-1.11649	not outlier
5.02	-3.32869	outlier
6	-2.23376	not outlier
8.33	0.369482	not outlier
9.05	1.173917	not outlier
7.46	-0.60254	not outlier
8.49	0.548245	not outlier
9.14	1.274471	not outlier
8.42	0.470036	not outlier
8.52	0.581763	not outlier
8.39	0.436518	not outlier
8	0.000782	not outlier
7.25	-0.83717	not outlier
7.81	-0.2115	not outlier
8.8	0.894599	not outlier
10.45	2.738097	not outlier
9.61	1.799589	not outlier
8.16	0.179546	not outlier
7.04	-1.0718	not outlier
8.26	0.291273	not outlier
8.75	0.838736	not outlier
7	-1.11649	not outlier
7.64	-0.40144	not outlier
7.98	-0.02156	not outlier
8.55	0.615281	not outlier
7.32	-0.75896	not outlier
6.36	-1.83154	not outlier
9.19	1.330335	not outlier
7.93	-0.07743	not outlier
6	-2.23376	not outlier
7.83	-0.18915	not outlier
6.14	-2.07734	not outlier
7.89	-0.12212	not outlier
7.5	-0.55785	not outlier
7.54	-0.51316	not outlier
8	0.000782	not outlier
7.93	-0.07743	not outlier
7.43	-0.63606	not outlier
7.63	-0.41261	not outlier
7.83	-0.18915	not outlier
8.18	0.201891	not outlier
8.24	0.268927	not outlier
7.4	-0.66958	not outlier
8.34	0.380654	not outlier
8.46	0.514727	not outlier
8.66	0.738181	not outlier
8.57	0.637627	not outlier
8.23	0.257755	not outlier
7.05	-1.06063	not outlier
7.96	-0.04391	not outlier
7.71	-0.32323	not outlier
8.82	0.916945	not outlier
7.68	-0.35674	not outlier
8.27	0.302445	not outlier
5.75	-2.51308	not outlier
6.9	-1.22822	not outlier
7.43	-0.63606	not outlier
7.6	-0.44613	not outlier
8.46	0.514727	not outlier
8.09	0.101337	not outlier
7.13	-0.97124	not outlier
9.8	2.011871	not outlier

orchestra answered 2 years ago

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