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MCM of Student's Physical Health Based on Mathematical Cone

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22 nov. 2021
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Fig. 1

Standard model and sample model.
Standard model and sample model.

Fig. 2

The typical discrimination of boys is scattered.
The typical discrimination of boys is scattered.

Fig. 3

The typical discrimination of girls is scattered.
The typical discrimination of girls is scattered.

Clustering results of male college students_

Height Body weight 1,000 m/(s)

Class A (523) 168.78 ± 5.42 56.36 ± 6.75 238.5 ± 17.40
Class B (954) 170.52 ± 5.01 59.97 ± 6.99 237.51 ± 17.36
Class C (579) 173.79 ± 5.28 65.21 ± 8.26 237.87 ± 17.39
Total (206) 171 ± 5.52 60.53 ± 8.01 237.86 ± 17.38

Vital capacity/(ml) Standing long jump/(ml) Grip strength/(kg)

Class A (523) 3264.39 ± 356.53 2.17 ± 0.16 41.81 ± 6.22
Class B (954) 4118.69 ± 238.03 2.21 ± 0.16 43.31 ± 5.74
Class C (579) 4853.76 ± 319.55 2.23 ± 0.16 45.53 ± 6.14
Total (206) 4136.54 ± 684.97 2.2 ± 0.16 43.55 ± 6.13

Clustering results of female college students_

Height/(cm) Weight/(kg) 800m/(s)

Class D (440) 162.19 ± 4.83 55.16 ± 6.21 234.833 ± 14.59
Class E (691) 159.12 ± 4.83 50.98 ± 5.57 238.132 ± 14.42
Class F (383) 157.7 ± 4.74 49.26 ± 5.37 239.862 ± 15.38
Total (1514) 159.65 ± 5.10 51.76 ± 6.15 237.612 ± 14.83

Vital capacity/(ml) Standing long jump/(m) Sitting forward bending/(cm)

Class D (440) 428.43 ± 258.20 1.6 ± 0.16 17.09 ± 4.77
Class E (691) 794.15 ± 185.94 1.56 ± 0.16 16.32 ± 5.50
Class F (383) 150.7 ± 278.04 1.51 ± 0.17 15.97 ± 5.39
Total (1514) 815.71 ± 525.33 1.56 ± 0.16 16.45 ± 5.28

Example of comparison between girl clustering and discriminative classification_

Numbering 10 48 577 1033 1452

height 159 157 158 162 165
body weight 52 46.9 43.5 53 52.5
Vital capacity 2300 3132 2519 4786 2358
800m 245 237 233 228 253
Sitting forward bending 14.2 20.7 6.3 18.7 16
Standing long jump 1.4 1.7 1.6 1.5 1.6
Clustering 3 1 2 1 3
Discriminate 3 2 2 1 3
Class 1 probability 0.00001 0.39261 0.00045 1 0.00004
Class 2 probability 0.10301 0.60724 0.7018 0 0.16059
Class 3 probability 0.89699 0.00015 0.29776 0 0.83937

Example of comparison between male clustering and discriminative classification_

Numbering 9 362 1434 1908

height 170 166 163 182
body weight 59.9 56.4 57.8 65.4
Vital capacity 4304 4565 3625 5541
1000m 213 218 232 244
Grip 41.7 42 38.1 40
Standing long jump 2.1 2.3 2 2
Clustering 2 3 1 3
Discriminate 2 2 1 3
Class 1 probability 0.00256 0.00007 0.65276 0
Class 2 probability 0.9198 0.50363 0.34719 0.00007
Class 3 probability 0.07765 0.4963 0.00004 0.99993