. . [3].
1. X ( n) s (x1, i+1) . i* = (xi + xi+1) /2; ni xi , i - . :
1* 2*... s.
n1 n2... ns.
Σ ni = n.
2. , , σ*.
3. X, . . Z = (X )/σ* (zi, zi+1):
zi = (xi ‑ ) /σ*, zi+1 = (xi+1 ‑ ) / σ*,
Z, . . z1 -∞ , .. zs, ∞
4. i (xi, xi+1) :
pi=(zi+1)- (zi),
(z) - (. 4)
, , : n'i = pi.
3.4.4. [3 ]
5. =200, , (. 3.3)
1. xi* = (xi+xi+1)/2, , xi* = (4 + 6)/2 = 5. , i* ni
xi* 5 7 9 11 13 15 17 19 21
ni 15 26 25 30 26 21 24 20 13
2. , :
= 12,63, σ * = 4,695.
3. (zi, zi+1), , = 12,63, σ * = 4,695, 1/ σ * = 0,213, . 3.4
3.3.
- | - | ||||||
i | xi | xi+1 | ni | i | xi | xi+1 | ni |
n = 200 |
4. pi ni'= npi, . 3.5.
3.4.
i | xi - | (xi+1- ) |
‑ | ‑6,63 | -∞ | ‑1,41 | |||
‑6,63 | ‑4,63 | ‑1,41 | ‑0,99 | |||
‑4,63 | ‑2,63 | ‑0,99 | ‑0,56 | |||
‑2,63 | ‑0,63 | ‑0,56 | ‑0,13 | |||
‑0,63 | 1,37 | ‑0,13 | 0,29 | |||
1,37 | 3,37 | 0,29 | 0,72 | |||
3,37 | 5,37 | 0,72 | 1,14 | |||
5,37 | 7,37 | 1,14 | 1,57 | |||
7,37 | ‑ | 1,57 | ∞ |
xi | xi+1 | zi = =(xi - )/ σ* | zi+1 = =(xi+1- σ* |
3.5.
i | (zi) | (zi+1) | pi= (zi+1)- - (zi) | i=npi= = 200 pi | ||
zi | zi+1 | |||||
‑ ∞ | ‑1,41 | ‑0,5000 | ‑0,4207 | 0,0793 | 15,86 | |
‑1,41 | ‑0,99 | ‑0,4207 | ‑0,3389 | 0,0818 | 16,36 | |
‑0,99 | ‑0,56 | ‑0,3389 | ‑0,2123 | 0,1266 | 25,32 | |
‑0,56 | ‑0,13 | ‑0,2123 | ‑0,0517 | 0,1606 | 32,12 | |
‑0,13 | 0,29 | ‑0,0517 | 0,1141 | 0,1658 | 33,16 | |
0,29 | 0,72 | 0,1141 | 0,2642 | 0,1501 | 30,02 | |
0,72 | 1,14 | 0,2642 | 0,3729 | 0,1087 | 21,74 | |
1,34 | 1,57 | 0,3729 | 0,4418 | 0,0689 | 13,78 | |
1,57 | ∞ | 0,4418 | 0,5000 | 0,0582 | 11,64 | |
Σpi = 1 | Σ = = 200 |
. 3.5.