, . | |
162 | |
162-166 | |
166-170 | |
170-174 | |
174-178 | |
178-182 | |
182 | |
,
Xi | fi | Sn | Xi* fi |
162 | |||
162-166 | |||
166-170 | |||
170-174 | |||
174-178 | |||
178-182 | |||
182 | |||
- |
1) = ∑ Xi* fi / ∑ fi = 171.2
2) :
;
i ;
f ;
f-1 , ;
f+1 , .
fmax = 55, -, 170-174
= 170 + 4 *[ (55-45) / ((55-45) + (55-40)) ] = 171.6
3) :
;
i ;
f ;
S-1 , ;
Nme = åfi/2 .
:
åfi/2 = 260/2 = 130, -, Sme = 120, -, 170-174
Me = 120 + 4 *[(130-45) / 55] = 176.2
4) :
, NQ1 = ∑fi / 4 = 260 / 4 = 65, -, Sn=70, -, 162-166.
Q1 = 162 + 4 * [(65-30)/40] = 164.5
:
, NQ3 = [3* ∑fi ]/ 4=(3* 260)/4 = 195, -, Sn=210, -, 174-178.
Q1 = 174 + 4 * [(195-170)/40] = 176.5
5) :
D8 = Xd8 + dd8 * [ (8/10 * ∑fi) - S d8-1] / fd8
Nd8 = (8/10 * ∑fi) = 208, -, Sn=210, -,174-178.
D8 = 174+ 4*[ (208-170) / 40] = 177.8
, , , 8/10 1/10, 2/10, 7/10, 9/10.
6) :
1. = ∑ Xi* fi / ∑ fi = 171.2
2. : R = xmax xmin = 186-158 = 28
3. :
- ( ):
- : = 1596/260 = 6.14
4.
- :
- : = 13942.4/260 = 53.6
= = 7.32
- 17% , 17%-33% - , >33% - .
V = (7.32 / 171.2) * 100% = 4.27%
( )
V = (d / ) * 100% = (6.14 / 171.2) * 100% = 3.59%
V = (R / ) * 100% = (28/171.2) *100 = 16.35%
8.28
,% | ||
IT | 10-15 | |
15-20 | ||
20-25 | ||
IT | 25-30 | |
30-35 | ||
35-40 |
:
) ;
|
|
) ;
) ;
) , .
. .
:
) IT
IT | % | , fi | Xi | Xi*fi | (Xi- )^2*fi |
10-15 | 12.5 | 372.1 | |||
15-20 | 17.5 | 262.5 | 18.15 | ||
20-25 | 22.5 | 304.2 | |||
837.5 | 694.45 |
= ∑ Xi* fi / ∑ fi = 837.5 / 45 = 18/6%
= 694.45/45 = 15.4%
) IT
IT | % | , fi | Xi | Xi*fi | (Xi- )^2*fi |
25-30 | 27.5 | 132.5 | |||
30-35 | 32.5 | 101.1 | |||
35-40 | 37.5 | 187.5 | 334.6 | ||
1612.5 | 568.2 |
= ∑ Xi* fi / ∑ fi = 1615.5 / 55 = 29.32
= 568.2 / 55 = 10.3
N | Fj | j | j | Fj* j | j*Fj | ( j ) * Fj |
18.6 | 15.4 | 1566.45 | ||||
29.32 | 10.3 | 1612.6 | 566.3 | 1277.78 | ||
2449.6 | 1259.5 | 2844.232 |
= ∑ Xj* Fj / ∑ Fj = 2449.6 / 100 = 24.5
jc =(∑ j*Fj) / ∑Fj = 12.6
() , . . , ,
, - , - ( Fj)
= 28.4
:
= jc + = 12.6 + 28.44 = 41.04
:
, >0,5 , <0,5
= 0.83 - IT .
10.18