Question

What is the SST for this set of figures

120.08 30.75 75.86 54.05 81.9 61.83 37.88 38.82 78.79 26.4 68.73 36.85 63.83 53.84 51.08 32.83 79.77 72.3 50.21 52.94 47.94 53.09 58.47 34.13 79.88 27.67 86.29 69.37 48.63 52.46 62.9 78.52 55.43 10.64 44.84 55.95 64.06 53.5 64.17 49.61 64.99 37.28 50.68 66.4 53.82 34.31 47.97 76.06 62.43 66 60.57 11.37 65.07 8.99 58.37 83.51 81.02 29.75 30.4 39.17

Answer 1

I used R software to solve this question.

I assume that you want SST means total sum of square =

> x=scan('clipboard')
Read 60 items
> x
[1] 120.08 30.75 75.86 54.05 81.90 61.83 37.88 38.82 78.79 26.40
[11] 68.73 36.85 63.83 53.84 51.08 32.83 79.77 72.30 50.21 52.94
[21] 47.94 53.09 58.47 34.13 79.88 27.67 86.29 69.37 48.63 52.46
[31] 62.90 78.52 55.43 10.64 44.84 55.95 64.06 53.50 64.17 49.61
[41] 64.99 37.28 50.68 66.40 53.82 34.31 47.97 76.06 62.43 66.00
[51] 60.57 11.37 65.07 8.99 58.37 83.51 81.02 29.75 30.40 39.17
> x_bar=mean(x)
> x_bar
[1] 54.9075
> sum((x-x_bar)^2)
[1] 24805.54

SST = 24805.54

Excel Output

x	x-xbar	(x-xbar)^2
120.08	65.1725	4247.455
30.75	-24.1575	583.5848		xbar =	54.9075
75.86	20.9525	439.0073
54.05	-0.8575	0.735306
81.9	26.9925	728.5951
61.83	6.9225	47.92101
37.88	-17.0275	289.9358
38.82	-16.0875	258.8077
78.79	23.8825	570.3738
26.4	-28.5075	812.6776
68.73	13.8225	191.0615
36.85	-18.0575	326.0733
63.83	8.9225	79.61101
53.84	-1.0675	1.139556
51.08	-3.8275	14.64976
32.83	-22.0775	487.416
79.77	24.8625	618.1439
72.3	17.3925	302.4991
50.21	-4.6975	22.06651
52.94	-1.9675	3.871056
47.94	-6.9675	48.54606
53.09	-1.8175	3.303306
58.47	3.5625	12.69141
34.13	-20.7775	431.7045
79.88	24.9725	623.6258
27.67	-27.2375	741.8814
86.29	31.3825	984.8613
69.37	14.4625	209.1639
48.63	-6.2775	39.40701
52.46	-2.4475	5.990256
62.9	7.9925	63.88006
78.52	23.6125	557.5502
55.43	0.5225	0.273006
10.64	-44.2675	1959.612
44.84	-10.0675	101.3546
55.95	1.0425	1.086806
64.06	9.1525	83.76826
53.5	-1.4075	1.981056
64.17	9.2625	85.79391
49.61	-5.2975	28.06351
64.99	10.0825	101.6568
37.28	-17.6275	310.7288
50.68	-4.2275	17.87176
66.4	11.4925	132.0776
53.82	-1.0875	1.182656
34.31	-20.5975	424.257
47.97	-6.9375	48.12891
76.06	21.1525	447.4283
62.43	7.5225	56.58801
66	11.0925	123.0436
60.57	5.6625	32.06391
11.37	-43.5375	1895.514
65.07	10.1625	103.2764
8.99	-45.9175	2108.417
58.37	3.4625	11.98891
83.51	28.6025	818.103
81.02	26.1125	681.8627
29.75	-25.1575	632.8998
30.4	-24.5075	600.6176
39.17	-15.7375	247.6689
	SST=	24805.54