STATS HW 1
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Transcript of STATS HW 1
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8/16/2019 STATS HW 1
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
1. INTERVAL SCALE - are numeri !a"e! in #$i$ #e %n n&' &n"( '$e &r)er,
*u' a"!& '$e e+a' )ierene! *e'#een '$e a"ue!.
- E+am"e/ Ce"!iu! 'emera'ure *eau!e '$e )ierene *e'#een ea$ a"ue
i! '$e !ame. F&r e+am"e, '$e )ierene *e'#een 0 an) 2 )e3ree! i! amea!ura*"e 1 )e3ree!, a! i! '$e )ierene *e'#een an) 5 )e3ree!.
Time i! an&'$er 3&&) e+am"e &6 an in'era" !a"e in #$i$
'$e inremen'! are %nn, &n!i!'en', an) mea!ura*"e.
7. NOMINAL SCALE - are u!e) 6&r "a*e"in3 aria*"e!, #i'$&u' an(
8uan'i'a'ie a"ue. 9N&mina": !a"e! &u") !im"( *e a""e) 9"a*e"!.:- E+am"e!/ Gen)er, $an)e)ne!!, 6a&ri'e &"&r, an) re"i3i&n
;. OR&"i'ia" &rien'a'i&n = Le6', en'er, ri3$'
4. RATIO SCALE - $a! an a*!&"u'e ?er& @a &in' #$ere n&ne &6 '$e 8ua"i'( *ein3
mea!ure) e+i!'!. !in3 a ra'i& !a"e ermi'! &mari!&n! !u$ a! *ein3
'#ie a! $i3$, &r &ne-$a"6 a! mu$.- E+am"e!/ RLER/ in$e! &r en'ime'er!
INCOME/ m&ne( earne) "a!' (ear G>A/ 3ra)e &in' aera3e
2. RANLING - i! '$e *a!i !am"in3 'e$ni8ue #$ere #e !e"e' a
3r&u &6 !u*e'! @a !am"e 6&r !'u)( 6r&m a "ar3er 3r&u @a &u"a'i&n.
- E+am"e/ A!!i3n a num*er '& ea$ &6 1 e&"e #$& $ae e+re!!e)in'ere!' in a''en)in3 a !eia" een'. In)ii)ua" num*er! are $&!en 6r&m
'$e ran)&m num*er 'a*"e. W$en a er!&nD! num*er i! $&!en, '$e( are
ar&e) '& a''en) '$e een'.
0. STRATIFIE< SAM>LING - re6er! '& a '(e &6 !am"in3 me'$&). Wi'$ !'ra'ie)
!am"in3, '$e re!ear$er )ii)e! '$e &u"a'i&n in'& !eara'e 3r&u!, a""e)
!'ra'a.- E+am"e/ '& )e'ermine '$e r&&r'i&n! &6 )e6e'ie r&)u'! *ein3
a!!em*"e) in a 6a'&r(. In '$i! a!e !am"in3 ma( *e !'ra'ie) *(
r&)u'i&n "ine!, 6a'&r(, e'.
5. CLSTER SAM>LING - !e #$en '$e !'u)ie) &u"a'i&n i! !rea) ar&!! a
#i)e area !u$ '$a' !im"e ran)&m !am"in3 #&u") *e )iu"' '& im"emen'
in ae!!in3 '$e !e"e'e) !am"e.
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
- E+am"e/ In a !'u)( &6 '$e &ini&n! &6 $&me"e!! ar&!! a &un'r(, ra'$er
'$an !'u)( a 6e# $&me"e!! e&"e in a"" 'n!, a num*er &6 'n! are
!e"e'e) an) a !i3nian' num*er &6 $&me"e!! e&"e are in'erie#e) in
ea$ &ne.
. CONVENIENCE SAM>LING- i! a n&n-r&*a*i"i'( !am"in3 'e$ni8ue #$ere
!u*e'! are !e"e'e) *eau!e &6 '$eir &nenien' ae!!i*i"i'( an) r&+imi'(
'& '$e re!ear$er.- E+am"e/
o !in3 !'u)en' &"un'eer! a! !u*e'! 6&r '$e re!ear$. An&'$er
e+am"e i! u!in3 !u*e'! '$a' are !e"e'e) 6r&m a "inio A "a!! &r an in!'i'u'i&n '$a' i! ea!i"( ae!!i*"e '& '$e re!ear$er
o C$&&!in3 e e&"e 6r&m a "a!! &r $&&!in3 '$e r!' e name!
6r&m '$e "i!' &6 a'ien'!.. >R>OSIVE SAM>LING - re6erre) '& a! u)3men', !e"e'ie &r !u*e'ie
!am"in3 i! a n&n-r&*a*i"i'( !am"in3 me'$&) '$a' i! $ara'eri?e) *( a
)e"i*era'e e&r' '& 3ain rere!en'a'ie !am"e! *( in"u)in3 3r&u! &r '(ia"
area! in a !am"e.
- E+am"e/ A re!ear$er #an'! '& 3e' &ini&n! 6r&m n&n-#&r%in3 m&'$er!.
T$e( 3& ar&un) an area %n&%in3 &n )&&r! )urin3 '$e )a( #$en $i")ren
are "i%e"( '& *e a' !$&&". T$e( a!% '& !ea% '& '$e D#&man &6 '$e $&u!e.
T$eir r!' 8ue!'i&n! are '$en a*&u' #$e'$er '$ere are $i")ren an)
#$e'$er '$e #&man $a! a )a( &*.
1.FREENCY
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
I' i! a"!& &!!i*"e '& group '$e a"ue!. Here '$e( are 3r&ue) in 2!/
11.GRO>E< OLYGON - are a 3ra$ia" )eie 6&r un)er!'an)in3 '$e
!$ae! &6 )i!'ri*u'i&n!. T$e( !ere '$e !ame ur&!e a! $i!'&3ram!, *u' are
e!eia""( $e"6u" 6&r &marin3 !e'! &6 )a'a.
14.OGIVES - Cumu"a'ie $i!'&3ram!, 3ra$! '$a' an *e u!e) '& )e'ermine $
man( )a'a a"ue! "ie a*&e &r *e" a ar'iu"ar a"ue in a )a'a !e'. T$e
umu"a'ie 6re8uen( i! a"u"a'e) 6r&m a 6re8uen( 'a*"e, *( a))in3 ea$
6re8uen( '& '$e '&'a" &6 '$e 6re8uenie! &6 a"" )a'a a"ue! *e6&re i' in '$e
)a'a !e'. T$e "a!' a"ue 6&r '$e umu"a'ie 6re8uen( #i"" a"#a(! *e e8ua" '&
Papers Sold Frequency
12-1 7
7-74 5
72-7 1
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
'$e '&'a" num*er &6 )a'a a"ue!, !ine a"" 6re8uenie! #i"" a"rea)( $ae *een
a))e) '& '$e rei&u! '&'a".- E+am"e/
12.ANTILE - are &in'! in a )i!'ri*u'i&n '$a' re"a'e '& '$e ran% &r)er &6 a"ue!
in '$a' )i!'ri*u'i&n.- E+am"e/ '$e me)ian i! a 8uan'i"e
10.STAN
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
15.COEFFICIENT VARIATION - i! '$e eren'a3e aria'i&n in mean, !'an)ar)
)eia'i&n *ein3 &n!i)ere) a! '$e '&'a" aria'i&n in '$e mean.
Formula: C&eien' &6 Varia'i&n CV J S'an)ar)
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GARCIA, MARIANNE FAYE N. BASIC STATISTICS HW1BSOT-4
E+am"e/ Sam #an'! '& *u( a ne# amera, an) )ei)e! &n '$e
6&""in3 ra'in3 !(!'em/
• Ima3e ua"i'( "%&
• Ba''er( Li6e 3%&
• &&m Ran3e 2%&
T$e C&n( amera 3e'! @&u' &6 1 6&r Ima3e ua"i'(, 0 6&r Ba''er( Li6e an) 5
6&r &&m Ran3e. T$e San&n amera 3e'! 6&r Ima3e ua"i'(, 4 6&r Ba''er( Li6e
an) 0 6&r &&m Ran3e. W$i$ amera i! *e!'
C&n(/ .2 P .; P 0 .7 P 5 J 4 1. 1.4
J !.2 San&n/ .2 P .; P 4 .7 P 0 J 4.2 1.7 1.7
J '.$
Sam )ei)e! '& *u( '$e C&n(.
20. COMBINE< MEAN - T$e ari'$me'i mean &6 !eera" !e'! &6 )a'a ma( *e
&m*ine) in'& a !in3"e ari'$me'i mean 6&r '$e &m*ine) !e'! &6 )a'a