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10 Sample Tree Experiment - Nomogram ANSWERS

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Grades Weights

Sample 2.5cm 0.3cm 0.1cm 0.05cm 2.5cm 0.3cm 0.1cm 0.05cm


1 12.96 12.08 12.76 11.42 340.07 385.47 385.47 316.1
2 14.8 11.82 13.38 13.96 340.07 385.47 385.47 316.1
3 11.86 12.08 14.24 11.08 340.07 385.47 385.47 316.1
4 11.94 12.16 13.4 12.34 340.07 385.47 385.47 316.1
5 9.56 12.88 13.14 12.98 340.07 385.47 385.47 316.1
6 10.38 12.42 12.54 11.86 340.07 385.47 385.47 316.1
7 15.76 11.76 12.72 12.32 340.07 385.47 385.47 316.1
8 17.94 12.78 12.28 12.4 340.07 385.47 385.47 316.1
9 9.88 11.32 14.28 13.04 340.07 385.47 385.47 316.1
10 5.44 11.8 12.52 13.22 340.07 385.47 385.47 316.1
11 9.54 12.74 12.78 12.28 340.07 385.47 385.47 316.1
12 14.1 12.9 13.9 12.16 340.07 385.47 385.47 316.1
13 10.28 10.86 12.4 11.62 340.07 385.47 385.47 316.1
14 12.78 12.34 13.04 12.04 340.07 385.47 385.47 316.1
15 10.78 12.24 11.36 13.24 340.07 385.47 385.47 316.1
16 14.12 12 12.74 12.76 340.07 385.47 385.47 316.1
17 9.92 12.18 13.2 12.18 340.07 385.47 385.47 316.1
18 10.3 14.04 14.18 12.04 340.07 385.47 385.47 316.1
19 24.26 12.76 12.5 12.86 340.07 385.47 385.47 316.1
20 8.78 12.56 12.98 12.78 340.07 385.47 385.47 316.1
21 6.66 14.9 13.16 12.66 340.07 385.47 385.47 316.1
22 9.98 13.4 13.94 12.5 340.07 385.47 385.47 316.1
23 13.3 12.94 13.1 12.22 340.07 385.47 385.47 316.1
24 16.48 11.28 14.44 12.4 340.07 385.47 385.47 316.1
25 29.4 12.1 11.6 12.18 340.07 385.47 385.47 316.1
26 11.68 12.96 12.7 12.44 340.07 385.47 385.47 316.1
27 9.52 14.4 13.2 11.92 340.07 385.47 385.47 316.1
28 13.46 15.7 12.94 12.58 340.07 385.47 385.47 316.1
29 20.14 12.98 12.66 12.72 340.07 385.47 385.47 316.1
30 12.64 13.97 13.26 12 340.07 385.47 385.47 316.1
31
32
33
34
35
36
37
38
39
40
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42
43
44
45
46
47
48

Average 12.95 12.68 13.04 12.41 340.07 385.47 385.47 316.10


24.38 1.15 0.53 0.34 0.00 0.00 0.00 0.00
10,202 11,564 11,564 9,483
2.5 cm 0.3 cm 0.1 cm 0.05 cm
Mass (g) 340.07 385.47 385.47 316.10 Analytical RSD%
Average grade 12.95 12.68 13.04 12.41 Slope
Variance 24.38 1.15 0.53 0.34 Intercept
Standard Deviation 4.94 1.07 0.73 0.58 K
RSD%/CV% 38.1% 8.5% 5.6% 4.7% c
Analytical variance 0.26 0.26 0.26 0.26 f
Residual variance 24.25 1.02 0.40 0.20 g
Residual Relative Variance 1.87 0.08 0.03 0.02
Residual Standard Deviation 4.92 1.01 0.63 0.45 Liberation size
Residual RSD%/CV% 0.38 0.08 0.05 0.04
Size 2.5 0.3 0.1 0.05
Ln(dN) 0.92 -1.20 -2.30 -3.00 Relative Variance
Ln(s2 x MS) 6.46 3.43 2.48 1.65 9.96%
4.27%
8.54%
Ln(s2 x MS)
1.57%
7.00
7.85%
6.00 f(x) = 1.22162831860034 x + 5.2101422772185 1.10%
3.66%
5.00 0.09%
0.57%
4.00

3.00

2.00

1.00

0.00
-3.50 -3.00 -2.50 -2.00 -1.50 -1.00 -0.50 0.00 0.50 1.00 1.50

Sample Nomogram
10,000

1,000
Sample Mass

100

10
0.0% 0.1% 1.0% 10.0%
Sa
100

10
0.0% 0.1% 1.0% 10.0%

Relative Variance
4%
1.222
5.21
183.12
16,000,000
0.5
0.25

54

Sample Mass (g) Particle Size (cm)


10,000 4
10,000 2
5,000 2
5,000 0.5
1,000 0.5
1,000 0.1
300 0.1
300 0.005
50 0.005

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