using the data provided please answer the following questions:

What is the median absolute deviation of purity for the batches?

Assuming that the purity of the batches is normally distributed, what is the probability (%) of a batch having purity greater than 70?

Assuming that the purity of the batches is normally distributed, what is the probability (%) that a batch will have purity between 50 and 80%?

yield	purity
72.6	60.4
81.7	61.2
75.1	50.7
83	58.6
69.7	69.5
79.1	54.3
71.4	66.5
74.8	59.8
78.1	56
69	64.4
72.8	60.7
82.9	62.2
71.7	61.3
74.6	77.1
80.8	58.1
79.3	54.7
80.1	61.3
58.4	61.2
60.7	61.5
75.7	53.8
77.2	58.8
66	57.3
67.5	63.1
74.2	60.9
64	56.2
75.3	59.4
77.1	59
86.5	63.1
79.7	56
70.8	59.5
82.9	67.3
67	50.5
63.8	62.3
77.6	61.9
85.7	70.2
73.7	54.7
81.2	55
75.9	65.4
81.9	61.7
72.5	64.7
74.5	62.8
90.3	67.5
75.5	63.7
77.3	54.9
73.6	56.3
73.2	61.7
65.5	74.4
65.4	58.5
79.7	71.5
79.2	58.5
80.5	56.6
76.3	61.2
75.7	58
82.4	56.6
79.9	73.5
81.4	65.2
89.3	61.1
82.1	63
68.9	53.5
82.6	59.7
80.3	55.5
80.5	58.9
71.8	63.8
75.9	64.1
75.8	55.5
85.5	58.4
70.3	57.1
83.8	50.3
83.8	61.5
86.1	62.5
76.2	58.6
64.9	56.4
77.1	61.1
75.5	65.8
77.1	57
69.8	58.1
77.6	60.6
80.7	76.9
69.1	62
73.2	58.4
73.7	62.8
75	64.3
75.1	61.3
69.8	63.1
84.4	60.6
79.8	62.5
78.7	75.1
74.8	56.7
73.7	58.7
79.9	59.4
77.5	81.7
72.8	54.5
72.1	58.9
72.8	63
85.1	68.7
84.1	65.3
77.5	55.4
74.6	60
64.6	56.1
65.1	65
82.5	54.3
75	74.8
76.9	65.4
97.1	71.1
73.5	61.3
71.1	62.8
80.1	55.5
67.7	81.4
72.7	64.6
63.5	71.3
72.5	61.8
77.8	56.1
78.6	61.3
71.6	57.3
73.8	60.4
77.7	60.6
74.6	58.8
59.3	59.5
79.1	66.4
81.5	57.1
73.5	59.8
73.6	57.5
79.4	65.6
66.9	68.5
56.9	60.4
66.2	58.4
74.6	52.3
73.9	59.9
69.1	50.2
71.9	61.5
63.5	64.6
78	57.1
60	61.8
86.8	58.3
76.6	58.8
77.9	56.9
63.2	70.1
72.9	77.6
80.5	50.3
74.9	56.8
69.5	60.8
67.7	68.4
70.8	64.8
72	57.5
69.3	62.3
83.6	64.9
71.4	59.9
70.4	61.2
76.3	60.8
68.5	72
81.1	51
61.2	60.3
82.7	61.3
74.9	57.2
73.7	57.3
81.1	59.4
90.1	81.8
76.6	64.9
82.6	55.1
74.1	60.2
70.8	69.5
68.9	54.6
76.5	73.7
85.3	60.4
71.1	58.8
78.2	61.1
79.3	59.3
84.4	64.3
79.8	65.5
68.5	75.8
76.7	57.3
70.3	65.3
83.7	57.6
87.8	65.6
77	51
70.1	65
69.5	57.8
71.3	57.2
80.3	62.8
76.1	55.2
71.2	65.4
77.2	62.5
79	61.1
79.6	58.7
81.7	58.6
79.6	53
70.1	63.9
71.5	65.7
70.5	56.2
64.1	59.3
69.1	58.2
66.2	61.7
85.3	60.8
70	77.5
77.7	51.6
80.4	61.6
77.8	65
77.1	61.6
67.9	76.2
66.6	72.1
74.4	56.9
61.6	62.2
77.2	77.1
68.2	56.8
75.4	50.1
75.5	56.1
75.4	57.5
68.7	60.8
80.5	59.1
75.3	67.3
73.4	53
82.2	59
80.2	60.4
77.3	63.7
75.9	66.3
71.4	64.7
72	56.2
81.2	64.3
72.2	59.8
76.5	63.7
74.6	57.7
73.5	52.7
89.3	57.6
82.1	63.7
80.7	56.9
81.6	66.5
80.5	51.3
74.7	60
74.5	55.4
74.1	50.7
77.8	60.8
76.7	63
72.4	60.2
69.2	59.3
69.5	66.9
69.5	57.6
71.9	56.7
82.6	56
75.5	56.9
73.7	65
64.8	59.1