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INSTRUCTIVO DE ESTADISTICA TEMA I

  • 1.
    / & ^ > Zd/ ^/ ^d 1^d/ ^Z/Wd/s D
  • 2.
    1E/ KEdE/KhZ^K ^d 1^d/ s/Zdh / 1E/ //K'Z 1 ^ hdKZ //K'Z 1 dD / hE DEdK^ D dD d/K^ W/ K^ WZKW/ ^ ^/ ^ ^hD dKZ/ WZKW/ ^ dD // ,/^dKZ/ ^d 1^d/ dD /// W/ /KE^ ^d 1^d/ dD /s /Es^d/' /ME ^d 1^d/ ^^ z d W ^ d W ^ W Ed D/EdK hE/ /Es^d/' /ME ^ ^dh/K DdKK K^Zs /ME Dh^dZK Dh^dZK dKZ/K ^/DW Dh^dZK dKZ/K ^dZ d// K Dh^dZK EK WZK /1^d/K Eh^d ^ z KZDh Z/K^ WZW Z /ME h^d/KE Z/K dD s d ^ dK^ d ^ ZhE/ ^ dK^ 'ZhW K^ dD s/ DdKK^ 'Z /K^ dD s// D/ ^ WK^//ME DK dK^ EK 'ZhW K^ dK^ 'ZhW K^ D/ E dK^ EK 'ZhW K^ dK^ 'ZhW K^ KDW Z /ME 'KDdZ/ EdZ D/ DK z D/ E /s E ZE EK ^h Z K EK
  • 3.
    h Zd/^ /^WZEd/^ dK^ EK 'ZhW K^ dK^ 'ZhW K^ / 'Z D : z /'Kd^ dD s/// D/ ^ dEE/ EdZ D/ Z/dDd/ WZKD/K D/ WKEZ dD /y D/ ^ s Z/ // s Z/ E ^s/ /ME ^d E Z M d1W/ ^s/ /ME D/ K//Ed s Z/ /ME M K//Ed s Z/ /ME W Z^KE s Z/ E z ^s/ /ME ^d E Z hE Dh^dZ z hE WK /ME E /^/^ s Z/ E dZD/EK^ s Z/ E z ^s/ /ME W Z dK^ 'ZhW K^ dD y 1E/ '/E/ hZs KZE dD y/ WZK // KEWdK^ 'EZ ^ Z' ^W/ //ME sEdK^ yhzEd^ Z' 'EZ //ME Z' Dhd/W/ /ME z Dhd/W/ d/s KE sEdK^ /EWE/Ed^ WZK // KE//KE / 'Z D ZK /s E ZE EK ^h Z K EK
  • 4.
    1E/ //K'Z1 ^ //K'Z 1 dD / //K'Z 1 dD // //K'Z 1 dD /// //K'Z 1 dD /s //K'Z 1 dD s //K'Z 1 dD s/ //K'Z 1 dD s// //K'Z 1 dD s/// //K'Z 1 dD /y //K'Z 1 dD y //K'Z 1 dD y/ /s E ZE EK ^h Z K EK
  • 5.
    hdKZ /s E ZEEK ^h Z K E EK h D D ^ //K'Z 1 ^h Z K EK / Zd/ ^/ ^d 1^d/ ^Z/Wd/s W E /s E ZE EK ^h Z K EK
  • 6.
    dD / hEDEdK^ D dD d/K^ W/ K^ / ^ / ^ E : D WZKW/ ^ ^/ ^ a c ac n x = a(bxc) = (axb) xc a = m an m b d bd n a an a 1/ n = a n (a ) = a n m n *m   = n b b 1 n = a−n an * am = an+m a an a(b + c) = ab + ac = an−m am ^hD dKZ/ Σ W n ∑x i =1 i Y Σ Σ D Z ^ /s E ZE EK ^h Z K EK
  • 7.
    Σ W n n n ∑ xii =1 ∑ xj j =1 ∑x k =1 k i x1 + x2 + xn + ... + xn = ∑ xi n =1 WZKW/ ^ i ∑a n =1 i = nai n n ∑ axi = a∑ xi i =1 i =1 n ∑ i = 1 + 2 + 3 + ... + i i =1 n n n ∑ (axi + byi ) = a∑ xi + b∑ yi i =1 i =1 i =1 ∑ (x i i + y i − z i ) = ∑ xi + ∑ y i − ∑ z i i i i 2    ∑ xi  = (x1 + x 2 + L + x n ) 2  i  n m n ∑ ∑ xij = ∑ (xi1 + xi 2 + L + xim ) = (x11 + x12 + L + x1m ) + (x21 + x212 + L + x 2m ) + L i =1 j =1 i =1 L + (x n1 + x n 2 + L + x nm ) n m n ∑ ∑ a = ∑ ma = nma i =1 j =1 i =1 /s E ZE EK ^h Z K EK
  • 8.
    //K'Z 1 dD / • EZ^KE Z ^tEz : t// D^ d ^d 1^d/ W Z D/E/^dZ /ME z KEKD1 s / s 'KE  WKK d / d • EZ^KE Z ^tEz : t// D^ d ^d 1^d/ W Z D/E/^dZ /ME z KEKD1 ^ Z Zs Ed^ 'KE  D D E' ' • ,/dh KD Z • /E D Z, t ' D ^KE Z ^d 1^d/ W Z D/E/^dZ /ME z KEKD1 ^dZK WZ D hW ME D , EK ZK d KD' • DEE, t ^d /^d/ W Z D/E/^dZ KZ^ E 'ZW W s y sZ d D D ' / ^ s /s E ZE EK ^h Z K EK