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TABEL KEMATIANTABEL KEMATIAN
(LIFE TABLES)(LIFE TABLES)OLEH:OLEH:
ISMAIL AB, M.KESISMAIL AB, M.KES
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S , SS , S
TABEL KEMATIANTABEL KEMATIAN
(THE LIFE TABLES)(THE LIFE TABLES)
DEFINISI:DEFINISI:Tabel Kematian adala !ab"n!an da#i an!$aTabel Kematian adala !ab"n!an da#i an!$am%#talita& &"at" 'end"d"$ men"#"tm%#talita& &"at" 'end"d"$ men"#"t$%m'%&i&i "m"# 'ada &"at" a$t" te#tent".$%m'%&i&i "m"# 'ada &"at" a$t" te#tent".
$%%# 'end"d"$ &ea$ me#e$a dilai#$an,$%%# 'end"d"$ &ea$ me#e$a dilai#$an,$em"dian "mlan*a be#$"#an! &edi$it demi$em"dian "mlan*a be#$"#an! &edi$it demi
Tabel $ematian, &eba!ai &ea#a $eid"'anTabel $ematian, &eba!ai &ea#a $eid"'an&"at" &edi$it $a#ena menin!!al, &am'ai&"at" &edi$it $a#ena menin!!al, &am'ai&em"a an!!%ta $%%# abi& $a#ena&em"a an!!%ta $%%# abi& $a#ena
menin!!al.menin!!al.
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ASUMSI:ASUMSI:
+.+.
K%%# an*a be#$"#an! $a#enaK%%# an*a be#$"#an! $a#ena
$ematian dan tida$ ada mi!#a&i$ematian dan tida$ ada mi!#a&i
(l%&ed %%#t)(l%&ed %%#t)
-.-. O#an! mati men"#"t '%la te#tent"O#an! mati men"#"t '%la te#tent"'ada be#ba!ai tin!$at "m"# 'ada be#ba!ai tin!$at "m"#
.. K%%# be#a&al da#i #adi$& te#tent"K%%# be#a&al da#i #adi$& te#tent"
/./. 0ada &etia' tin!$at "m"# #ata1#ata0ada &etia' tin!$at "m"# #ata1#ata
%#an! mati mena'ai 'e#ten!aan%#an! mati mena'ai 'e#ten!aan
anta#a d"a tin!$at "m"# be#t"#"t1t"#"tanta#a d"a tin!$at "m"# be#t"#"t1t"#"t
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KE2UNAAN TABEL KEMATIANKE2UNAAN TABEL KEMATIAN
+.Unt"$ membandin!$an tin!$at m%#talita& 'end"d"$ *an!+.Unt"$ membandin!$an tin!$at m%#talita& 'end"d"$ *an!
be#beda1bedabe#beda1beda-.Unt"$ memb"at '#%*e$&i "mla 'end"d"$ dan-.Unt"$ memb"at '#%*e$&i "mla 'end"d"$ dan
$a#a$te#i&ti$n*a.$a#a$te#i&ti$n*a.
.Unt"$ $ema"an *an! di'e#%le dalam "&aa 'emelia#aan.Unt"$ $ema"an *an! di'e#%le dalam "&aa 'emelia#aan
$e&eatan ma&*a#a$at, $"&"&n*a ana$- *an! te#e#min$e&eatan ma&*a#a$at, $"&"&n*a ana$- *an! te#e#min'ada e3 #ata-'ada e3 #ata-
/.Me#"'a$an da&a# 'enent"an '#emi dibidan! a&"#an&i ia/.Me#"'a$an da&a# 'enent"an '#emi dibidan! a&"#an&i ia
4.St"di 5e#tilita&, mi!#a&i, 'e#t"mb"an 'end"d"$, *atim4.St"di 5e#tilita&, mi!#a&i, 'e#t"mb"an 'end"d"$, *atim'iat", anda, laman*a'iat", anda, laman*a 'e#$ainan, lama $e#a dll.'e#$ainan, lama $e#a dll.
6.St"di m%#talita& da'at di$%mbina&i$an den!an 'e#"baan6.St"di m%#talita& da'at di$%mbina&i$an den!an 'e#"baan
&%&ial e$%n%mi&%&ial e$%n%mi
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KELEBIHAN TABEL KEMATIANKELEBIHAN TABEL KEMATIAN
Tida$ men"n"$$an 'en!a#" di&t#ib"&iTida$ men"n"$$an 'en!a#" di&t#ib"&i
"m"# 'end"d"$ a$t"al dan tida$"m"# 'end"d"$ a$t"al dan tida$meme#l"$an ad%'&i da#i 'end"d"$ &tanda#meme#l"$an ad%'&i da#i 'end"d"$ &tanda#&eba!ai 'embandin! tin!$at m%#talita&&eba!ai 'embandin! tin!$at m%#talita&
*an! da'at dite#ima %le 'end"d"$ *an!*an! da'at dite#ima %le 'end"d"$ *an!be#bedabe#beda
Bent"$ tabel $ematian:Bent"$ tabel $ematian:
+.+. Tabel Kematian Len!$a' (%m'lete li5eTabel Kematian Len!$a' (%m'lete li5etable&)table&)
-.-. Tabel Kematian Sin!$at (ab#id!e li5eTabel Kematian Sin!$at (ab#id!e li5e
table&)table&)
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ANATOMI TABEL KEMATIANANATOMI TABEL KEMATIAN
0ada "m"mn*a tabel $ematian mem'"n*ai 6 5"n!&i0ada "m"mn*a tabel $ematian mem'"n*ai 6 5"n!&i
*ait"7 n89, l9, nd9, nL9, T9, dan e%7*ait"7 n89, l9, nd9, nL9, T9, dan e%7
+.+.n89n89,0#%'%#&i "mla 'end"d"$ *an! ma&i id"',0#%'%#&i "mla 'end"d"$ *an! ma&i id"''ada aal 'e#i%de ("&ia te'at 9) dan a$an'ada aal 'e#i%de ("&ia te'at 9) dan a$an
menin!!al &elama inte#al a$t" n ta"n.menin!!al &elama inte#al a$t" n ta"n.-.-. l9l9,;"mla 'end"d"$ te'at be#"&ia 9 ta"n.,;"mla 'end"d"$ te'at be#"&ia 9 ta"n.
.. nd9nd9,;"mla 'end"d"$ *an! menin!!al anta#a,;"mla 'end"d"$ *an! menin!!al anta#a
"&ia 9 dan (9
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RUMUS LIFE TABLES LEN2KA0RUMUS LIFE TABLES LEN2KA0
M9 = D>0M9 = D>0 89 = - ? M9 : - < M9 ata" 89 = d9>l989 = - ? M9 : - < M9 ata" 89 = d9>l9
8% = d>'8% = d>'
09 = + @ 8909 = + @ 89 d9 = 89 ? l9d9 = 89 ? l9
l% = +33.333l% = +33.333
l+ = l% @ d9%l+ = l% @ d9%
l- = l+ @ d9+, dan &ete#"&n*a7l- = l+ @ d9+, dan &ete#"&n*a7
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L3 = 3, l3 < 3, l+L3 = 3, l3 < 3, l+
L+ = 3,/ l+ < 3,6 l- L+ = 3,/ l+ < 3,6 l-
L- = 3,4 l9 < 3,4 l9
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2. LIFE TABLES ABRIDGE2. LIFE TABLES ABRIDGE
Sama den!an #"m"& li5e table& len!$a'Sama den!an #"m"& li5e table& len!$a'
*ait"7 nd9 , l9, n09, n89, L9, T9, e9,*ait"7 nd9 , l9, n09, n89, L9, T9, e9,
an! be#beda adala: an! be#beda adala:
L% = 3,+ ? l% < 3,C ? l+L% = 3,+ ? l% < 3,C ? l+
L+ = +, ? l+ < -,+ ? l4L+ = +, ? l+ < -,+ ? l4
4 L+3 = 4>- ( l4 < l+3)4 L+3 = 4>- ( l4 < l+3)
G 0 i i K l T b l K tiG 0 i i K l T b l K ti
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Ga#a 0en!i&ian K%l%m Tabel KematianGa#a 0en!i&ian K%l%m Tabel Kematian
Rin!$a&Rin!$a&
09 = +1 89 ata" 89 = +1 0909 = +1 89 ata" 89 = +1 09 adi 09 < 89 = + adi 09 < 89 = + d9 = 89 ? l9d9 = 89 ? l9 l9 = Radi$& +33.333l9 = Radi$& +33.333 l% = +33.333l% = +33.333 l+ = l% @ d9l+ = l% @ d9
Tabel Kematian Rin!$a& (Ab#id!e)Tabel Kematian Rin!$a& (Ab#id!e) L% = 3,+ ? l% < 3,C l+L% = 3,+ ? l% < 3,C l+
L+ = +, ? l+ < -,+ ? l4L+ = +, ? l+ < -,+ ? l4 L4 = 4>- ( l9 < l9- ( l9 < l9
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SOAL LATIHAN :SOAL LATIHAN :
TABEL KEMATIAN RIN2KAS (ABRID2E LIFE TABLE) USATABEL KEMATIAN RIN2KAS (ABRID2E LIFE TABLE) USA
A!eA!e n09n09 n89n89 nd9nd9 l9l9 nL9nL9 T9T9 e9e9
33
++
44
+3+3
+4+4
-3-3
-4-4
3344
/3/3
/4/4
4343
4444
6363
6464
33
44
C3C3
C4
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Di$eta"i :Di$eta"i :
L% = 3,+? l% < 3,C? l+L% = 3,+? l% < 3,C? l+
L+ = +, ?l+ < -,+ ?l4L+ = +, ?l+ < -,+ ?l4
L4 = 4>- ( l4 < l+3) d&tL4 = 4>- ( l4 < l+3) d&t
LC4< = LC4 (+3 l%!?lC4 l%!)LC4< = LC4 (+3 l%!?lC4 l%!)
= +C.4/(+3 l%!? +C.4/ l%!) = +C.4/(+3 l%!? +C.4/ l%!)
LC4< = +C.4/ ? /,- =LC4< = +C.4/ ? /,- = .+/4.+/4
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