Compute the standard deviation of the bone density losses

Question

Discussion:

Q: Osteoporosis is a condition in which bone density decreases, often resulting in broken bones. Bone density usually peaks at age 30 and decreases thereafter. To understand more about this condition a random sample of women aged 50 and over were recruited. Each woman's bone density loss and age are shown in table below:

a) Compute the mean and median of these data.

b) Compute the standard deviation of the bone density losses.

c) Compute the coefficient of determination for bone loss and women's age and describe what this statistic means.

Bone Loss	Age
38	75
38	79
45	82
44	81
35	52
29	60
42	74
36	71
28	59
44	83
29	78
25	77
33	80
35	57
41	52
33	67
41	80
28	65
25	59
32	67
34	64
53	80
37	77
41	69
35	81
30	69
34	52
43	73
17	59
22	52
31	68
31	57
41	53
43	78
37	83
30	76
22	53
37	66
38	60
33	52
27	59
38	52
36	71
28	66
37	75
35	82
32	55
42	74
36	64
50	78
37	79
22	53
41	79
38	68
29	72
27	68
38	56
37	67
36	50
31	76
38	84
47	84
36	58
36	76
19	65
24	59
35	63
26	64
35	56
32	76
38	80
31	57
16	50
42	83
46	75
41	78
21	51
40	65
22	56
31	55
50	72
36	79
39	82
31	65
36	53
30	69
37	75
44	77
30	50
36	75
36	73
51	82
42	78
15	58
40	62
45	70
35	76
38	55
39	79
20	50
43	82
27	60
53	84
45	85
38	62
30	60
35	51
34	72
34	70
25	61
41	83
48	74
32	50
44	79
35	67
31	56
31	75
30	74
43	64
31	71
32	67
43	82
43	81
25	53
30	57