Question

ly33 percent of the 683 peren ±1 SD from the mean. Visual inspection of the data in the Los betwech a homogeneous data set despite the large SD. This emphasizes 1 SD from the fall between a fairly isual inspection of the data set when making decisions based on ins the importance of tical calculations. Exercise 10.4 ort from a cancer registry shows the SDs of weights for 20 males following sanma of the rectum. Validate the calculations used in the report. Weights of Males with Adenocarcinoma of Rectum Patient Weight lbs. ((X-X) (x-x) 900 576 441 142 148 151 155 155 158 164 165 170 173 175 175 175 183 185 186 189 -24 -21 -14 196 64 10 12 13 14 15 16 121 169 196 289 14 17 (continued on next page)

Answer 1

Here we have to calculate the standard deviation of the weights of 17 patients.

The mean weight is 167.59.

Sl. No	x	(x-x_bar)	(x-x_bar)^2
1	142	-25.59	654.76
2	148	-19.59	383.7
3	151	-16.59	275.17
4	155	-12.59	158.46
5	155	-12.59	158.46
6	158	-9.59	91.93
7	164	-3.59	12.88
8	165	-2.59	6.7
9	170	2.41	5.82
10	173	5.41	29.29
11	175	7.41	54.93
12	175	7.41	54.93
13	175	7.41	54.93
14	183	15.41	237.52
15	185	17.41	303.17
16	186	18.41	338.99
17	189	21.41	458.46

variance is sum of (x-x_bar)^2 / 17 = 192.94

sd =square root of variance = 13.9