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BIOSTATISTIKA DESKRIPTIF
PENGUKURAN NILAI TENGAH (CENTRAL TENDENCY)
Kelompok :
1. I!"#$% F#k&o'l $% (*+11+1+,1-)
. G#$k% /#0%&e'% (*+11+1+,1+)
-. F%#&2% Um%m# (*+11+1+,13)+. A&m '#k% S% (*+11+1+,1*)
Rom4el 1 IK ,1+
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Pengukuran Nilai Tengah (Cenral Tendency)
N#l%# Te$0% %5%l% %' $#l%# !%$0 5%p%' me6%k#l# ekelompok $#l%# %#l pe$0%m%'%$ 5%$
5#e4' 70% &%'%8&%'%. N#l%# 'e&e4' memp$!%# ke9e$5e&$0%$ $'k 4e&%5% 5# 'e$0%8
'e$0% %' 5#'#. Ole %&e$% #' $#l%# 'e$0% 70% 5#e4' ke9e$5e&$0%$ 5# 'e$0%
(9e$'e& 'e$5e$9!).
e$0%p% $#l%# 'e$0% 5#pe&lk%$;
D%l%m p&%k'#k k#'% e$0 me&%% '#5%k p% 5e$0%$ %$!% me$0e'%# $#l%# &%'%8&%'%< $#l%#
!%$0 me6%k#l# ekelompok $#l%# %#l pe$0%m%'%$. K#'% 70% #$0#$ me$0e'%# %p%k% %#l
!%$0 k#'% pe&ole le4# 4e%& le4# ke9#l %'% %m% 5e$0%$ kelompok l%#$.
U$'k mem4%$5#$0k%$ ekelompok $#l%# 5e$0%$ kelompok l%#$$!% 'e$' '#5%k m$0k#$ k#'%
4%$5#$0k%$ %' pe& %'. Ole k%&e$% #' 5#4'k%$ %' $#l%# !%$0 5%p%' me6%k#l#
kelompok m%#$08m%#$0. #%l$!% 5% 'ek%$%$ 5%&% +, o&%$0 pe$5e'% #pe&'e$# !%$0
'e&5%p%' 5# %' &m% %k#' &%'%8&%'% 'ek%$%$ 5%&% #'ol#k $!% 1=> mmH0 5%$ 'ek%$%$
5#%'ol#k $!% 11- mmH0. K#'% #$0#$ mem4%$5#$0k%$ %#l 'e&e4' 5e$0%$ pe$5e'%
#pe&'e$# !%$0 'e&5%p%' 5# &m% %k#' l%#$. D%l%m %l #$# 'e$' '#5%kl% p&%k'# $'k
mem4%$5#$0k%$ %' pe& %' 'e'%p# k#'% 4%$5#$0k%$ ke5% kelompok e9%&% me$!el& 5%$
$'k #' 5#pe&lk%$ %' $#l%# !%$0 5%p%' me6%k#l# m%#$08m%#$0 kelompok %0%& 5%p%' k#'%
4%$5#$0k%$ !%#' $#l%# 'e$0%.
N#l%# 'e$0% '#5%k %$!% %' 'e'%p# 'e&5%p%' 4e4e&%p% k&%$ $#l%# 'e$0% !%$0 5%p%'
5#0$%k%$. N#l%# 'e$0% !%$0 e$0 5#0$%k%$ %$'%&% l%#$ %5%l% :
1. R%'%8&%'% #'$0 (A'm%'#9 me%$) %'% 5##$0k%' me%$.
. R%'%8&%'% k& (Geome' e%$)
-. e5#%$+. o5 (%5e)
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1. Mean
A. Pe$0e&'#%$
e%$ %5%l% 'ek$#k pe$7el%%$ kelompok !%$0 5#5%%&k%$ %'% $#l%# &%'%8&%'% 5%
kelompok 'e&e4'. R%'%8R%'% (me%$) #$# 5#5%p%' 5e$0%$ me$7ml%k%$ 5%'% el&
#$5#?#5 5%l%m kelompok #' kem5#%$ 5#4%0# 5e$0%$ 7ml% #$5#?#5 !%$0 %5% p%5%
kelompok 'e&e4'.
B. S#"%' me%$ %5%l%:
• empe&'#m4%$0k%$ em% $#l%# pe$0%m%'%$
• D%p%' 5#m%$#pl%# e9%&% m%'em%'# e#$00% 5%p%' 5#pe&0$%k%$ $'k kepe&l%$
'%'#'#k
• H%$!% 4e&l%k $'k 5%'% k%$'#'%'#"
• S%$0%' 5#pe$0%&# ole $#l%# ek'&em 4e%& %'% ke9#l
C. e$e$'k%$ me%$ 5e$0%$ data tunggal dengan frekuensi = 1:
Rm e%$ 5%'% '$00%l :
Co$'o :
• H%#l pe$0k&%$ 4e&%' 4%5%$ 1, o&%$0 pe$5e'% 5#%4e'e mell#' !%$0 5#&%6%' 5#
%' &m% %k#' %5%l% e4%0%# 4ek' : (k&%$ 4e&%' 4%5%$ 5#$!%'%k%$ 5%l%m k0)
*3*,33=,*=3-*1*+=3 5%$ 3,%k% me%$ $'k 5%'% '$00%l 'e&e4' %5%l% :
(*3@*,@33@=,@*=@3-@*1@*+@=3@3,),@=3@>@*3@,@=-)
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D. e%$ p%5% D%'% T$00%l 5e$0%$ F&eke$# 1
U$'k me$0#'$0 $#l%# R%'%8&%'% %'% EAN p%5% D%'% T$00%l 5e$0%$ F&eke$#
!%$0 Le4# 5% 1 (1) 5%p%' 5#0$%k%$ &m:
E. e$0#'$0 me%$ p%5% 5%'% kelompok
EAN p%5% D%'% Kelompok U$'k 5%p%' me$0#'$0 N#l%# R%'%8&%'% %'% EAN
p%5% D%'% Kelompok (I$'e&?%l) %& 'e&le4# 5%l me$0#'$0 %'% me$0e'%#
N#l%# %'% T#'#k Te$0% %'% IDPOINT 5% D%'% Kelompok 'e&e4'. A5%p$ $'k
me$0#'$0 %'% me$e$'k%$ IDPOINT 5% D%'% Kelompok p%5% T#%p8'#%p
Kelompok %5%l% (B%'% Kel% B%6% @ B%'% Kel% A'%). Sel%$7'$!% $'k
me$0#'$0 $#l%# R%'%8&%'% %'% EAN p%5% D%'% Kelompok 5%p%' 5#0$%k%$ &m:
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Be&5%%&k%$ 5%'% 'e&e4' m%k% $#l%# R%'%8&%'% %'% EAN p%5% D%'% Kelompok 'e&e4'
%5%l%:
Contoh soal
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• !ata "erkelo#$ok dengan %ata&%ata 'e#entara
De$0%$ me$e$'k%$ &%'%8&%'% eme$'%&% ( &%'%8&%'% !%$0 5#50%) !%#' 4#%%$!% 5#%m4#l
5% '#'#k 'e$0% 5% "&eke$# 'e&4e%&. Kem5#%$ me$0#'$0 4e%&$!% #mp%$0%$ '#%p $#l%#
'e$0% 'e&%5%p &%'%8&%'% eme$'%&% 5e$0%$ &m:
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. M!*+NNilai Tengah ( Me )
A. Pe$0e&'#%$
e5#%$ %5%l% $#l%# !%$0 le'%k$!% 5# 'e$0% 5% 5%'% !%$0 'el% 5#&'k%$ 5% $#l%#
'e&ke9#l %mp%# 'e&4e%&. #k% 4%$!%k 5%'% 0%$7#l m%k% e %5%l% 5%'% !%$0 'e&le'%k
'ep%' !%$0 5#'e$0% e'el% 5#&'k%$ #k% 4%$!%k 5%'% 0e$%p m%k% e %5%l% &%'%8
&%'% 5% 5% 5%'% !%$0 'e&le'%k 5# 'e$0% e'el% 5#&'k%$.
B. S#"%' $#l%# me5#%$:
• e5#%$ m5% 5##'$0 5%$ m5% 5#me$0e&'#
• D#pe$0%&# 7ml% o4e&?%#
•
T#5%k 5#pe$0%&# ole $#l%# o4e&?%#
• Se$0 5#p%k%# p%5% 5#'# "&eke$# !%$0 m#$0
• D#0$%k%$ p%5% 5%'% !%$0 4e&#"%' k%$'#'%'#" m%p$ k%l#'%'#" 4e&k%l% &%'#o #$'e&?%l
m%p$ o&5#$%l
C. Menghitung #edian $ada data tunggal
( ) . +
4. 3 * - = 3 3 >
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9.
D. e$0#'$0 e5#%$ p%5% D%'% Kelompok
f f M i M M kumeee
<HHH−+=
U$'k me$e$'k%$ e5#%$ p%5%
D%'% Kelompok 5%p%' 5#l%kk%$ 5e$0%$ &m 4ek':
Ke' :
Contoh data kelo#$ok
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-. M!/' (Mo)
A. Pe$0e&'#%$
o5 me&p%k%$ $#l%# !%$0 p%l#$0 e$0 m$9l 5%l%m %' kelompok %'%
ekmpl%$ 5%'%. o5 70% 'e&5%p%' p%5% D%'% T$00%l m%p$ D%'% Kelompok.
B. S#"%' mo5 %5%l%:
• T#5%k 5#pe$0%&# $#l%# ek'm
• D#0$%k%$ 4%#kp%5% 5%'% k%l#'%'#" ($om#$%l 5%$ o&5#$%l) m%p$ 5%'% k%$'#'%'#"
(#$'e&?%l 5%$ &%#o)
C. e$0#'$0 o5 $'k 5%'% '$00%l
Co$'o :
%. H%#l o4e&?%# 'e&%5%p m& pe0%6%# 5# Dep%&'eme$ %5%l%
,+3*,3*+3+3,13=+3+331-3. U$'k me$0e'%# mo5 m&
pe0%6%# 'e&e4' 5%p%' 5#0$%k%$ pe&'olo$0%$ mel%l# '%4el 5#4%6% #$#:
Um& pe0%6%# ml%
1
,
-3
+3
31
3*
1
1
3
1
1
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3=
*,
1
1
ml% 1-
D% '%4el 'e&e4' 5%p%' 5#l#%' 4%6% !%$0 p%l#$0 4%$!%k m$9l %5%l%
m& +3. $9l$!% e4%$!%k 3 k%l#. %5# 5%p%' 5#7el%k%$ 4%6% kelompok
pe0%6%# 5# Dep%&'eme$ e4%0#%$ 4e%& 4e&m& +3 '%$.
4. Sekmpl%$ 5%'% : - + + 3
%k% mo5$!% %5%l% + m$9l k%l#.
9. Sekmpl%$ 5%'% : - - - + + 3 3 3 *
%k% mo5$!% %5%l% - 5%$ 3 m%#$08m%#$0 m$9l - k%l#.
5. Sekmpl%$ 5%'% : - + 3 * =
%k%mo5$!%'#5%k%5%.
D. Modus !ata "erkelo#$ok
a. %u#us #odus dengan data 0erkelo#$ok
Ke' :
Lmo 'ep# 4%6% kel% mo5
51 el## "&eke$# kel% mo5 5e$0%$ kel% e4elm$!%
5 el## "&eke$# kel% mo5 5e$0%$ kel% e5%$!%
9 #$'e&?%l
Contoh soal Tentukan #odusnya
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2a3a0
4rekuensi $aling 0anyakadalah $ada inter6al -1 -5.
2adikelas #odus $ada inter6al -1 -5.
T0 = -8,5
$ = 5
d1 = 9 = 1
d = : = -
!aftar Pustaka
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Am#$.I.A6#$.A. F%7%&.I. I$%e$# I6%$.S. P57#&%%7.A. S$#$5!%.R.. ,,.
S'%'#'#k% $'k P&%k'## Kee%'%$. Yo0!%k%&'%.G&%% Ilm.
D%l%$.S..,1.S'%'#'#k $'k Ke5ok'e&%$ 5%$ Kee%'%$. %k%&'%. S%lem4%e5#k%.
S0#!o$o. ,,-. S'%'#'#k% $'k Pe$el#'#%$. B%$5$0. Al"%4e'%.