Question

Use the data in Table 2.0, answer questions 1, 2, & 3. Please show all of your working.

Table 2.0 Data for a sample of 50 individual in a Cardiovascular Disease Study
Participant ID	Weight (kg)	Height (cm)	Smoking status	Blood glucose
1	70	165	1	107
2	60	162	0	145
3	62	150	1	237
4	66	165	1	91
5	70	162	0	185
6	59	165	0	106
7	47	160	0	177
8	66	170	1	120
9	56	155	0	186
10	62	167	0	164
11	68	167	1	130
12	65	157	0	132
13	59	166	0	134
14	80	170	0	161
15	66	170	0	176
16	91	159	1	106
17	71	161	1	183
18	66	164	0	138
19	59	160	0	104
20	59	162	1	231

1. Use the data in Table 2.0 to prepare a stemplot of weight (kg) [5 points]

2. Calculate the standard deviation for blood glucose level. (First write out the formula and go through the steps. Show all working) [2 points]

3. Describe the distribution in terms of shape, location and spread [ 3 points] (~ 3 sentences)

Answer 1

1. The weights(in kgs) of sample of 20 patients are given below:

70, 60,62,66,70,59,47,66,56,62,68,65,59,80,66,91,71,66,59,59

arranging the data in ascending order we've:

47 56 59 59 59 59 60 62 62 65 66 66 66 66 68 70 70 71 80 91

Stemplot:

table:1

stem	leaf
4	7
5	6,9,9,9,9
6	0,2,2,5,6,6,6,6,8
7	0,0,1
8	0
9	1

2.Standard deviation():

where, xi : blood glucose level of the ith individual , n=sample size

to calculate first we've to calculate the mean.

where, xi : blood glucose level of the ith individual , n=sample size

table:2(table showing necessary calculations for mean and s.d.)

Blood Glucose(xi)	(xi-mean)^2
107	1905.3225
145	31.9225
237	7456.3225
91	3558.1225
185	1179.9225
106	1993.6225
177	694.3225
120	939.4225
186	1249.6225
164	178.2225
130	426.4225
132	347.8225
134	277.2225
161	107.1225
176	642.6225
106	1993.6225
183	1046.5225
138	160.0225
104	2176.2225
231	6456.1225
Total	3031	32820.55
mean	150.65	-
S.D.	41.56197	-

Standard Deviation=41.56197

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