統計学超入門 アップロード用

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• 2015/01/24

• 1 2

• - -

1 - - -

2

1 2

• 1 2

• 100g

1

1 2

• 100g

98g

2g2g

1 2

• 1 2

• 100g100g

100g

1 2

• 2

Karl Pearson(1857 - 1936)

1 2

• 100100g

100g3070

1 2

• 100g100gSS 30 3

100100g300.2%

(3)

1 2

• 100g

123

1 2

• 3

1 2

• 100

1 2

• 100

1 2

• 98g100g

1 2

• 1 2

• 100g

1 2

• 1 2

• "statistics" state

(statistics)

1 2

• 1 2

• 1 2

• 1 2

• 1 2

• 1 2

• R GNU Octave

1 2

• 1 2

• 1 2

• 1

1 2

• 1

1 2

• 12343

1 2

• 15

1

1 2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15(cm) 178 165 168 152 175 175 165 162 164 170 169 155 153 162 168

11

• 15

2

1 2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15(cm) 178 165 168 152 175 175 165 162 164 170 169 155 153 162 168

(kg) 63 62 69 41 71 61 62 48 52 55 69 48 44 49 69

22

• 15

3

1 2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15(cm) 178 165 168 152 175 175 165 162 164 170 169 155 153 162 168

(kg) 63 62 69 41 71 61 62 48 52 55 69 48 44 49 69

33

• 100100

1 2

• 12

1 2

• 1 (histogram)

1 2

• 1 2

• 1 2

18

• 1

1 2

• 1 2

• (averages)

1 2

• 51005060708090

50%, 10%, 20%, 30%, 40%%

5001005m/s, 6m/s, 7m/s, 8m/s, 9m/sm/s

1 2

• 51005060708090

70

1 2

• 50%, 10%, 20%, 30%, 40%%

19%

5(1*1.1*1.2*1.3*1.4)15

1.2

1 2

• 5001005m/s, 6m/s, 7m/s, 8m/s, 9m/sm/s

6.7m/s

1 2

• -

- n

-

1 2

• [1, 1, 1, 1, 2, 3, 4, 4, 100]

1

1 2

• 1 2

55

• (mean) median (mode)

1 2

http://www.digitaltonto.com/2012/its-the-math-stupid/

• 35

A: [0,3,3,5,5,5,5,7,7,10] B: [0,1,2,3,5,5,7,8,9,10] C: [3,4,4,5,5,5,5,6,6,7]

1 2

• CA,B ABA

1 2

A: [0,3,3,5,5,5,5,7,7,10]B: [0,1,2,3,5,5,7,8,9,10]C: [3,4,4,5,5,5,5,6,6,7]

• 4313

10 - 0 = 10 (7 3)/2 = 2

1 2

A: [0,3,3,5,5,5,5,7,7,10]

• (mean deviation)

0

1 2

• 2

1 2

• S^2

1 2

• 1 2

A: [0,3,3,5,5,5,5,7,7,10]B: [0,1,2,3,5,5,7,8,9,10]C: [3,4,4,5,5,5,5,6,6,7]D: [5,5,5,5,5,5,5,5,5,5]E: [0,0,0,0,0,10,10,10,10,10]

• -100100A0100B

A0B0

-1000050100100

AxB(1/2)x +50

1 2

• a, b

1 2

• 01

,

1 2

• 5010

z_i, T_iZT

1 2

• 10

A: [10, 20, 30, 40, 50, 60, 70, 80, 90, 100]B: [0, 0, 10, 20, 50, 50, 80, 90, 100, 100]C: [0, 0, 0, 0, 0, 0, 0, 0, 0, 100]

1 2

• 50

1 2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64

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