statistik mid rumus1

7/24/2019 Statistik Mid Rumus1

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Chapter 1Statistika: Ilmu yang mngumpulkan, mengelola,menyajikan, menganalisis, dan menafsirkan dataguna membantu dalam pengambilan keputusan ygefektif.Statistika Deskriptif: Metode mengelola,meringkas, dan menyajikan data secara informatif.Statistika Inferensial:Metode yg digunakan untukmemperkirakan karakteristik populasi berdasarkansampel (A decision, estimate, prediction, orgeneralization about a population, based on asample)Populasi: Keseluruan indi!idu atau objek ygdiamati atau ukuran yg diperole dari seluruindi!idu atau objek yg terkait.Sample:"orsi atau bagian dari populasi yg sejenis

#e principal di$erence bet%een te inter!al andratio scale of measurement is tat te ratio scale asa meaningful zero point

Chapter 2A frequency distriutiongroups data intoclasses so%ing te number of obser!ations ineac class.A useful recipe to determine te number of classes(k) is te &' to te k rule. suc tat 2k! n

#e formula is: i (H-L)/k%ere i is te class

inter!al, H is te igest obser!ed !alue, L is telo%est obser!ed !alue, and k is te number ofclasses.

A freuency distribution for nominal datareuires tat te categories be mutuallye"clusi#eand e"hausti#e

Chapter $A frequency distriutiongroups data intoclasses so%ing te number of obser!ations.Properties of the Arithmetic %ean:*. +!ery set of inter!alle!el and ratiole!el data

a mean.'. All te !alues are included in computing te

mean.-. #e mean is uniue.

. #e sum of te de!iations of eac !alue from mean is zero.

M+/IA0 #e midpoint of te !alues after tey a!been ordered from te smallest to te largest, or largest to te smallest."12"+1#I+3 24 #5+ M+/IA0*. #ere is a uniue median for eac data set.'. It is not a$ected by e6tremely large or small

!alues and is terefore a !aluable measure ofcentral tendency %en suc !alues occur.

-. It can be computed for ratiole!el, inter!alle!and ordinalle!el data.

. It can be computed for an openended freuen

distribution if te median does not lie in an opended class.

%&A' D&(IA)I*'#e aritmetic mean of teabsolute !alues of te de!iations from te aritmmean.(A+IA'Ce aritmetic mean of te suaredde!iations from te mean.S)A'DA+D D&(IA)I*'#e suare root of te!ariance


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Median 7(n 8 *)9'

Chapter ,

#e coecient of ske%ness can range from -up to -. A !alue near -, indicates considerable

negati!e ske%ness. A !alue suc as *.;- indicates moderate

positi!e ske%ness. A !alue of


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Simple RandomSample:A sampleselected so that eachitem or person in the

population has thesame chance of beingincluded.

Systematic RandomSampling: The items or

individuals of the populationare arranged in some orderA random starting point isselected and then every kthmember of the population iselected for the sample.

Stratified RandomSampling:A population isfirst divided into subgroupscalled strata, and a sampleis selected from eachstratum. Useful when apopulation can be clearlydivided in groups based onsome characteristics

Chapter 3

0ormal distribution:

P (x )=Lamda .e2lamda. x

+7 ',>*?'?

Chapter 4


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Cluster Sampling:Apopulation is divided intoclusters using naturallyoccurring geographic orother boundaries. Then,clusters are randomlyselected and a sample iscollected by randomlyselecting from each cluster.

CENTRAL LIMITTHEOREM If all samples of

a particular sie areselected from anypopulation, the samplingdistribution of the samplemean is appro!imately anormal distribution. This

appro!imation improveswith larger samples.

n

Xz

=

Chapter 5


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statistik mid rumus1

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