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UNIVERSIDAD NACIONAL DE INGENIERA

FACULTAD DE INGENIERA MECNICA

INFORME DE LABORATORIO N1:

MEDICIN

INTEGRANTES:CHAVEZ FERNANDEZ JOVANI JESUS 20151308I

SAGASTEGUI CALDERON DAVID ORLANDO 20152652E DIAZ RUIZ ROBERTH ERICK 20151053K

ROJAS CALLE MARIO ENRIQUE 20152636J

MOSQUERA GUTIERREZ PEDRO JOSE 20151362C

CURSO: FSICA I

SECCION: E

FECHA: 0!"0!"15

PROFESOR: V A S Q U E Z A L VA D A R I O

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INDICE

1 RESUMEN2 TITULO3 ANTECEDENTE E#PERIMENTAL$ FUNDAMENTO TE%RICO5 PARTE E#PERIMENTAL6 CUESTIONARIO

& DISCUCI%N DE RESULTADOS8 CONCLUSIONES! SUGERENCIAS10 REFERENCIAS BIBLIOGRAFICAS

RESUMEN

E' ()*+,-.( /--/' 4+ +,+ +/+-7+,( + 4+,+7- +' +( -+,-497)+ 4+ 9 79+, 4+:-*('+ 9,-'-;4( ' 9. 4+ 4-,-)9-

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A' :-'-; 4-( +/+-7+,( ('9-7( 9+ +' /(+,*+ 4+ +( +,? /++,+ + 9'9-+7+4--

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1 ANTECEDENTES EXPERIMENTALES:

A EXPERIMENTO DE MEDICIN Y ERROR EXPERIMENTAL

LOS OBJETIVOS DE ESTE E#PERIMENTO SON

1D+,+7- ' 9. 4+ 4-,-)9-

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S+ 4+)+ ,++ + 9+, / '( ?'9'( ' 4+:---(+ -9-+,+

MEDICIN E ' 7+4-4 9,-,,-. 4+ 9 7-,94 :>- @E,+ +,( ,++7( L(-,94,-+7/( 7 +,@ P 7+4- + ++-( ((+ -+, ( (7(

MEDIA ARITMTICA:

E +' .'( 9+ (+/(4+> 4 9( 4+ '( 4,( 4+ ' 4-,-)9-

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E( '+,(-(@ N( + ((+ ' '++ ( 7+-7( 9+ '( 9 /( 9 ++-.

(7/'+*-44 ( /( 9 /+9+ -:'9+- + +' +9',4( :-'@

P ((+ +,+ ,-/( 4+ +(+ /-7+( 4+)+7( 4+ +'-; 9 79+,+(4+ 7+4-4@ C(

'( 4,( 4+ ' 9+-. 7+4-4 /(4+7( '9' 9 7+4- ' 4+.--/-

79+,'@ C( +,( /?7+,( + /9+4+ (),++ ' D-,-)9-

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E"")"*$ +*,-+)$ / )8*"+)"

E' (/+4( -:'9+ + '( +9',4( 4+ 9 7+4--0*"-)"*$@ I:'9+ 7>-77+,+ (7( H97+44 /+-

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E"")"*$ +* *$0,-/-@3-4' ) *'=**3--*'0)@ E, 4+:(7-(+ /(.-++ 4+' 7)-( + '

+,9,9 -,+ 4+' 7,+-'@ E',+7/'+ 4+ +( + 4+- 9 +:-7-+,( ?/-4( /+7-,+ 9+ '

:+9,+>,-+ ,:(7+ :+ 7,+>,- +,)'+ ,+7/+,9 7)-+,+@ E,( 7)-( 4+

+(7+,> ( 79 /(( ((-4( /+( -9'7+,+ ,-++ 9 -7/,( -7/(,,+@

. PARTE EXPERIMENTAL

.1 MATERIALES 6 EUIPOS.

.2 U' 0@4' 3)' 7"-)/*$ !=*" 7-9" 1%

F-9 1@ U ,;

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F-9 2@ C(* 9 /94( (7'

F-9 3@ P94( 4+ :-*('+CUESTIONARIO

1. D*0*"-'* / *+- "-0?0-3 +* /)$ 1 '*")$ ),0*'-+)$. E$0 *+- "-0?0-3

*$ */ '*")

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( mnp ) = ( 1/100 ( NK - mnp )2

)1/2

k=1

D+ ' ,)' + /9+4+ ()+. 100

( NK - mnp )2 =1931.91

k=1

( mnp ) = (1931.91/100)1/2

= 4.12492947

. G"7-;* / 8)$-,-/-++ +* ;* ' 85+) ')"/ 3)'0*'9 0'0)$ 9"')$ +* 7"-)/*$.

S*' 8)" )0" 8"0*# "# $ +)$ '*")$ '0"/*$. D-"*)$ ;* ' 85+) +* 7"-)/*$ *$ +*3/$* "# $% $- 0/ 85+) 3)'0-*'* > 7"-)/*$ 6 $* 38/* ;* " > $. S* N */ '*") +*=*3*$ ;* $* "*/-@ */ *>8*"-*'0) 3)'$-$0*'0* *' *>0"*" ' 85+) ')"/ +* 7"-)/*$# 6$* '!"# $% */ '*") +* =*3*$ ;* $* ),0-*'* ' 85+) +* 3/$*$ "# $% *$0* '*") '!"#$% $* 3)')3* 3)) 7"*3*'3- +* / 3/$* "# $%. A/ 3)3-*'0* +* +-3)$ '*")$ !3'+) N*$ $7-3-*'0**'0* 9"'+*% /) //"*)$ PROBABILIDAD !"# $% DE UE AL EXTRAERUN PUJADO ESTE SEA DE CLASE '# "%K *$ +*3-":

"# $ & '"# $ ( N # N 6 9"'+*

L 8"),,-/-++ $ +*0*"-'+ ;*+" *)" +*7-'-+ 3'+)

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12 66 -6.29 39.56

13 76 -13.71 187.96

14 72 -0.29 0.08

15 62 -10.29 105.88

16 72 -0.29 0.08

17 74 1.71 2.92

18 74 1.71 2.92

19 78 5.71 32.620 77 4.71 22.18

K NK NK

72.29(NK

72.298)2

21 71 -1.29 1.66

22 77 4.71 22.18

23 63 -9.29 86.3

24 76 3.71 13.76

25 71 -1.29 1.66

26 73 0.71 0.5

27 74 0.71 0.528 68 -1.29 1.66

29 69 -3.29 10.82

30 64 -8.29 68.72

31 70 -9.29 86.3

32 74 1.71 2.92

33 78 5.71 32.6

34 74 -1.71 2.92

35 77 4.71 22.18

36 73 0.71 0.5

37 76 3.71 13.76

38 77 4.71 22.18

39 73 0.71 0.5

40 77 4.71 22.18

41 77 4.71 22.18

42 78 5.71 32.6

43 69 -3.29 10.82

44 71 -1.29 1.66

45 79 6.71 45.02

46 78 5.71 32.647 71 -1.29 1.66

48 78 5.71 32.6

49 73 0.71 0.5

50 78 5.71 32.6

51 77 4.71 22.18

52 75 2.71 7.34

53 76 3.71 13.76

54 74 1.71 2.92

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55 69 -3.29 10.82

56 73 0.71 0.5

57 71 -1.29 1.66

58 71 -1.29 1.66

59 70 -2.29 5.24

60 76 3.71 13.76

61 68 -4.29 18.4

62 70 -2.29 5.2463 73 0.71 0.5

64 71 -1.29 1.66

65 73 0.71 0.5

66 69 -3.29 10.82

67 70 -2.29 5.24

68 74 1.71 0.5

69 68 -4.29 18.4

70 71 -1.29 1.66

71 69 -3.29 10.82

72 74 1.71 2.92

73 74 1.71 2.92

74 68 -4.29 18.4

75 71 -1.29 1.66

76 76 3.71 13.76

77 79 6.71 45.02

78 71 -1.29 1.66

79 73 0.71 0.5

80 69 -3.29 10.82

81 78 5.71 32.682 67 -5.29 27.98

83 79 6.71 45.02

84 64 -8.29 68.72

85 65 -7.29 53.14

86 75 2.71 7.34

87 74 1.71 2.92

88 76 3.71 13.76

89 71 -1.29 1.66

90 69 -3.29 10.82

91 77 4.71 22.1892 79 6.71 45.02

93 75 2.71 7.34

94 79 6.71 45.02

95 73 0.71 0.5

96 70 -2.29 5.24

97 72 -0.29 0.08

98 69 -3.29 10.82

99 76 3.71 13.76

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100 77 4.71 22.18

TABLA 2. NUMERO DE EXTRACIONES VS FRECUENCIA

7 /94( 7 /+9+( 60

M /94( 7 4+ &!

mnp =7229/ 100

mnp = 72.29

mnp ) = (1931.91/100)1/2

NUMERODE

EXTRACIONE

!RECUENCIA

60 1

62 1

63 1

64 5

65 1

66 2

67 1

68 4

69 11

70 5

71 12

72 4

73 9

74 10

75 476 8

77 9

78 7

79 5

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4.12492947

0

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.1

Moving average ()

Polynomial ()

F-9 $@ C9. 4+ 4-,-)9-

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L .+,* 4+ ' +/++,- 79 4-/+*( /( +4+ ' 4+.-- 79 4+@D+)-4( +''( + +(7-+4 9+ '( :-*('+ ,+ 9 ,7( +9'@

5@ E +' +*+7/'( 7(,4( + 4+)> (, '+4+4( 4+ 60 :-*('+ /( /94(

WS+> .+,*(( ('( ('( 100 :-*('+ + +' +-/-+,+ 4+ +, 7+ '9' +'7+( 4+ :-*('+ + 9 /94( (,4( '( :-*('+ 9+ 9+4 + +' +-/-+,+X

S- ('( + ,-++ 100 :-*('+ /+,+7+,+ > /(9+ +- 7+( :-*('+ 9+ (, /+(+ ,+4> 9+ + 9 +*+--( 4--(' ' +, ' ,-44 + +' +-/-+,+ > 9+('9( 9+ (@

6@ WQ9= 9+4+> - + +' ( ,+-( ('( ('( 4-7( &5 :-*('+ + +' +-/-+,+X

N( +9',> 79 .+,*(( 9+ / /(4+ (+ 9 /94( (7' 4+:-*('+ ' ,-44 9+ +-,+ + +' +-/-+,+ +/+,( ' ,-44 4+ :-*('+ 9+ )++ 9+,( /9( +> 79 /+9+@

&. L /,+ 4+ +,+ +/+-7+,( 9+ +-+ [7? /-+-\ + +' /(+( 4+ (,@ P 4-,-)9-+, ,+ +,+ ,+ /+( WC9?' 4+ ' 9++- /(/(4> U4@XW/( 9=X

C4 /,--/,+ +'-; 33 ( 3$ +,-(+ 9+, '( (+/(4-+,+ :-*('+@) U( 4+ '( /,--/,+ +'-; ' 100 +,-(+ /+( 4 /,--/,+ 9+,

33 ( 3$ /94(@

E(+> ' ',+,-. ) 9+ +> 7+*( ,)* ( 9 ('( 7(4+'( 4+ 7( 9+ '(?'9'( +> 7? +,( ' .--(+ +> 7+(+@

8@ M+-(+ ,+ /(-)'+ +( 9+ ()+.> - + .+; 4+ 100 /94( +,*+ 1000/94(@

C7)-- ' /())-'-44

C7)-- ' -+,-497)+

H)> 7? +,-,94 9+ 4-7-9-> ' /())-'-44 4+ +( /(9+ + ,+4> 979+, 7? 4+@

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10@ WC9?' ++ U4@ + ' ;

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A' +'-; ' 7+4--(+ ('9-7( 9+ +' /(+,*+ 4+ +( +, /++,+ + 9'9-+

7+4--