PENGUKURAN NILAI TENGAH

8/20/2019 PENGUKURAN NILAI TENGAH

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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:


5/12

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


10/12

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'%.

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