SEMANA 02
RE,NA 01 1. En l /limo m n inni4o 56 d na 7lana 8on8 48i 4 8ibi bi9 9 5 5a a 4 47 78 8o o al al 74 74od od8 8o o d la 7l 7lan ana a d 7 7ll ii;a ;a8i 8i9n 9n 46 46 ni6o4midad n la di4ib8i9n dl ama
66 40 69 57 41
54 38 59 30 73 b) Hallando R:
40 28 40 42 59
40 82 39 60 84
71 45 83 50 44
25 33 29 30 57
R = Xmax - Xmin
R = 84 - 25 R = 59 Hallan Hallando do k: k:
k = 1 + 3.32*L 3.32*Lo! o!"0) "0)
k= 5.90 5.9040 4042 4257 57 k= 6 Hallando #:
Pelleta (mm) 25-35 35-45 45-55 55-65 65-75 75-85
#= R$k #= %.&33 %.&333333 3333 #=10
Xi 30 40 50 60 70 80
f 6 9 3 5 4 3
'i
(i
6 15 18 23 27 30
20 30 10 16.6666667 13.3333333 10
30
d)
Interplam!" # 35
0
9 6$32-25 6$32-25 = #$40-35 #$40-35 #=3
%! &e'ir"
i = (63)*100$30 i= 30+
)
Interplam! # 65
0
4 #$75-70= #$75-70= 3$85-75 3$85-75 # = 1.5 %! &e'ir"
i = (1.55)*100$30 i= 16.67
H>S
,25-35 ,35-45 ,45-55 ,55-65 ,65-75 ,75-85
f 6 9 3 5 4 3
*?L>+? +?N N? @
%! &e'ir"
i = (63)*100$30 i= 30+
)
Interplam! # 65
0
4 #$75-70= #$75-70= 3$85-75 3$85-75 # = 1.5 %! &e'ir"
i = (1.55)*100$30 i= 16.67
H>S
,25-35 ,35-45 ,45-55 ,55-65 ,65-75 ,75-85
f 6 9 3 5 4 3
*?L>+? +?N N? @
Xi 20.00 30 40 50 60 70 80 90.00
f 0 6 9 3 5 4 3 0
i ,25-35 ,35-45 ,45-55 ,55-65 ,65-75 ,75-85
6 15 18 23 27 30
?
n4ado4a d (i44o 4ida a la 6ala d m).
Hi
20 50 60 76.6666667 90 100
45
%l 30 + &e pellet! tienen /n tama menr a 40 mm
75
%l 16.67 + &e pellet! tienen /n tama mar a 70 mm
RAMA 1
E 'RE#,EN#>AS
>BA
TIEMPO DE DURACIÓN DE 32 BATERÍAS EN HORAS
n =32 52.50 58.90 56.30 62.30
56.80 62.70 60.20 57.30
64.40 53.10 58.90 60.40
61.80 52.70 58.70 65.70
59.60 54.90 61.60 59.60
49.30 58.10 48.80 63.30
58.40 62.30 53.90 52.20
62.80 57.50 60.70 65.90
N°
[ Li 48.80 51.65 54.50 57.35 60.20 63.05
Ls > 51.65 54.50 57.35 60.20 63.05 65.90
A.Ximax = 65.9 Ximin = 48.8
1 2 3 " D
R = 17.1 C =6 # = 2.8499
f 2 5 4 8 9 4 32
Fi 2 7 11 19 28 32
hi % 6.25 15.63 12.50 25.00 28.13 12.50 100.00
B.INTERPRETACIÓN
2 5 2+ 4+ 2 5 2+ 5+
5 atera! tienen /na &/ra'in entre 51.65 54.50 ra!. 28 atera! tienen /na &/ra'in entre 60.20 63.05 ra!. %l 15.63 + &e la! atera! tienen /na &/ra'in entre 51.65 54.5 %l 25 + &e la! atera! tienen /na &/ra'in entre 57.35 60.20 7 atera! tienen /na &/ra'in m#ima menr a 54.50 ra!. 28 atera! tienen /na &/ra'in m#ima menr a 63.05 ra!. %l 21.88 + &e la! atera! tienen /na &/ra'in m#ima menr a %l 87.50 + &e la! atera! tienen /na &/ra'in m#ima menr a
C.X1 X2
Lon:
55 65 55 57.35 63.05 65
22 3.2981 2.7373 22.00
:;< <;%>I< P;%RP
3 2
3 2
Lon:
:;< <;%>I< @<>;
68.75%
R7a: El D&." in n im7o d d4a8i9n n4 "" F D" (o4a.
D.X1
48.80 57.35
60 60
19 7.44 18
7 "D.2"
8
R7a: El "D.2" in n im7o d d4a8i9n mno4 a D0 (o4a.
E.58 58
65.9 60.2
20 6.1754 19
6
7
"%.3&
R7a: El "D.2" in n im7o d d4a8i9n mno4 a D0 (o4a.
F.hi % 6.25 21.88 34.38 59.38 87.50 100.00
0 ra!. ra!. 4.50 ra!. 3.05 ra!.
,48.80 ,51.65 ,54.50 ,57.35 ,60.20 ,63.05
f 2 5 4 8 9 3
- 51.65 - 54.50 - 57.35 - 60.20 - 63.05 - 65.90
Xi 47.38 50.22 53.07 55.92 58.77 61.62 64.47 67.32
f 0 2 5 4 8 9 3 0
>< B%I:>;% %? %X@%?
0
47.38 51.65 54.50 57.35
i 0 2 7 11
60.20 63.05 65.90
19 28 32
0
H>S?RAMA 9 8
5 4
2
*?L>+?N? @E 'RE#,EN#>AS 9 8
5 4
2
?>BA
28
19
11 7 2
3
3
0
32
11.50 12.10 9.90 9.30 5.70 5.40 5.20 5.10 3.60 3.40 20.60 25.50 5.20 5.50 5.10 5.00
7.80 4.90 13.80 5.20
6.20 6.60 10.70 15.20 12.60 13.10 4.80 4.10
7.00 8.50 8.90 3.80
13.40 4.20 8.20 3.70
A.Ximax = 25.5 Ximin = 3.40
N° 1 2 3 " D
R = 22.10 C =7 # = 3.36
[ Li 3.40 6.76 10.11 13.47 16.82 20.18 23.54
Ls > 6.76 10.11 13.47 16.82 20.18 23.54 26.89
f 26 9 7 3 1 1 1 48
B.INTERPRETACIÓN
3 6 2+ 5+ 3 6 3+ 4+
7 !erCa'ine! &iern 'm re!/lta& /na re!i!ten'ia &e 1 !erCa'ine! &i 'm re!/lta& /na re!i!ten'ia &e en %l 18.75 + &e la! !erCa'ine! realiDa&a! &an 'm re! %l 2.08 + &e la! !erCa'ine! realiDa&a! &an 'm re!/l 42 !erCa'ine! &iern 'm re!/lta& /na re!i!ten'ia 47 !erCa'ine! &iern 'm re!/lta& /na re!i!ten'ia %l 87.50 + &e la! !erCa'ine! realiDa&a! &an 'm re! %l 93.75 + &e la! !erCa'ine! realiDa&a! &an 'm re!
C.11.5
14.3
7
11.50 13.47 4.1052 13.47 14.3 0.7435 5
4 1
5 2 10
R7a: El 10 d la ob4Ga8ion 4ali;ada dan 8omo 4lad
n= 17.10 4.00 10.70 3.60
Fi 26 35 42 45 46 47 48
9.30 3.90 14.20 3.60
48
5.60 3.80 7.60 3.60
hi % Hi % Xi 54.17 5 54.17 72.92 8 18.75 87.50 12 14.58 93.75 15 6.25 95.83 19 2.08 97.92 22 2.08 100.00 25 2.08 100.00
enla'e (entre el 'n'etr la! Carilla! &e re/erD) entre 10.11 13.47 la'e (entre el 'n'etr la! Carilla! &e re/erD) entre 20.18 23.54 lta& /na re!i!ten'ia &e enla'e entre 6.76 10.11 a& /na re!i!ten'ia &e enla'e entre 16.82 20.18 e enla'e (entre el 'n'etr la! Carilla! &e re/erD) menr a 13.47 e enla'e (entre el 'n'etr la! Carilla! &e re/erD) menr a 23.54 lta& /na re!i!ten'ia menr a 13.47 lta& /na re!i!ten'ia menr a 16.82
o na 4in8ia d nla8 n4 11." F 1.3
D.26
,3.40 - 6.76 ,6.70 - 10.11 ,10.11 - 13.47 ,13.47 - 16.82 ,16.82 - 20.18 ,20.18 - 23.54 ,23.54 - 26.89
f 26 9 7 3 1 1 1
Xi 1.72 5.08 8.43 11.79 15.15 18.50 21.86 25.21 28.57
f 0 26 9 7 3 1 1 1 0
9
26
9 7
0
6.76 10.11 13.47 16.82 20.18
i 26 35 42 45 46
23.54 26.89
47 48
42 35 26
H>S?RAMA
7 3 1
1
1
H
3 1
1
1
0
?>BA 46
47
48
A.Espeso !e C"p"s !e #$i!o !e i&i'io ())* 160 170 170 180 180 190 190 200 200 210
f
Fi
hi %
12 48 10 6 4 80
12 60 70 76 80
15 60 12.5 7.5 5
B.68 R7a:
D& 8o44ida inn n 7o4 d 8a7a d 9xido d
R7a:
El D d 8o44ida inn n 7o4 d 8a7a d
C.-
Xi
:BP?I;E =
10
165 175 185 195 205
D.ili8io d 7o4 lo mno 10 mm
xido d ili8io d a lo mI 200 mm
H>S ,160 - 170 ,170 - 180 ,180 - 190 ,190 - 200 ,200 - 210
f 12 48 10 6 4
48
12
Xi 155 165 175 185 195 205 215
f 0 12 48 10 6 4 0
*?L>+?N? @ 48
12 0
170 180 190 200
i 12 60 70 76
210
80 60
12
?RAMA
10 6
4
E 'RE#,EN#>AS
10 6
4 0
>BA 76
80