Mienzaniso yeMibvunzo Inokurukura Kushandiswa Kwematanho Ekubatanidza
Kuyera kwetsika yepakati ipfungwa dzakakosha muhuwandu, dzinoshandiswa kunzwisisa kugoverwa kwese kwedata. Kuyera kwakajairika kwetsika yepakati ndekwepakati, pakati, uye modhi. Muchinyorwa chino, tichakurukura nezvekushandiswa kwenzira dzetsika yepakati kuburikidza nemienzaniso yakati wandei kuti tinzwisise zvakadzama musoro wenyaya.
Muenzaniso Mubvunzo 1: Avhareji (Avhareji)
Mubvunzo:
Boka revadzidzi rakawana mamakisi anotevera pabvunzo yemasvomhu: 56, 72, 85, 91, 68, 90, 70, 75, 80, uye 60. Verenga avhareji yemakisi pabvunzo.
Kukurukurirana:
Avhareji (avhareji) inogona kuverengerwa nekubatanidza zvese zvinokosheswa uye wobva wagovanisa huwandu hwese nenhamba yedata.
Kurongeka:
1. Wedzera kukosha kwese.
\( 56 + 72 + 85 + 91 + 68 + 90 + 70 + 75 + 80 + 60 = 747 \)
2. Verenga huwandu hwedata (nhamba yevadzidzi).
Kune manhamba gumi, saka nhamba yedata = 10.
3. Verenga avhareji.
\( \text{Mean} = \frac{747}{10} = 74.7 \)
Saka, avhareji yemapoinzi ebvunzo yemasvomhu i74.7.
Muenzaniso Mubvunzo 2: Pakati
Mubvunzo:
Boka revadzidzi rakanyora nguva (mumasekonzi) inodiwa kuti vapedzise mabasa anotevera: 22, 26, 20, 25, 24, 21, uye 23. Sarudza avhareji yenguva yekupedza mabasa aya.
Kukurukurirana:
Mupakati ndiwo mutengo wepakati uri mu data rakarongeka. Kana nhamba yemapoinzi edata isina kuenzana, mupakati ndiwo mutengo wepakati chaiwo. Kana nhamba yemapoinzi edata yakaenzana, mupakati ndiwo avhareji yemapoinzi maviri epakati.
Kurongeka:
1. Ronga data kubva padiki kusvika pakuru:
20, 21, 22, 23, 24, 25, 26
2. Sarudza pakati.
Nekuti nhamba yedata haina kufanana (7), iyo yepakati ndiyo kukosha kwechitatu munhevedzano.
Pakati = 23
Saka, avhareji yenguva yekupedza basa imasekondi makumi maviri nematatu.
Muenzaniso Mubvunzo 3: Maitiro
Mubvunzo:
Boka revadzidzi rakawana mamakisi anotevera pabvunzo: 75, 80, 85, 75, 90, 80, 85, 85, 75, uye 80. Sarudza nzira yedata remakisi ebvunzo.
Kukurukurirana:
Mode ndiyo kukosha kunowanzoonekwa mudata.
Kurongeka:
1. Verenga kuwanda kwekuitika kwechinhu chimwe nechimwe.
- 75 inoonekwa kamwe chete
- 80 inoonekwa kamwe chete
- 85 inoonekwa kamwe chete
- 90 inoonekwa kamwe chete
2. Sarudza kukosha kunowanzoonekwa.
Sezvo nhamba 75, 80, uye 85 imwe neimwe ichionekwa katatu, pane nzira nhatu mudata iri.
Saka, nzira yedata remapoinzi emibvunzo ndeye 75, 80, uye 85.
Muenzaniso Mubvunzo 4: Musanganiswa weZviyero zveCentralization
Mubvunzo:
Kubva padata rinotevera pamusoro pemari inowanikwa pamwedzi (muchiuru cherupiah) yevashandi gumi: 4500, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, uye 5500, verenga avhareji, avhareji, uye nzira yemari inowanikwa.
Kukurukurirana:
Matanho ekuverenga avhareji:
1. Wedzera kukosha kwese.
\( 4500 + 4700 + 4800 + 4900 + 5000 + 5100 + 5200 + 5300 + 5400 + 5500 = 50400 \)
2. Verenga huwandu hwedata.
Kune mari inosvika gumi, saka nhamba yedata = 10.
3. Verenga avhareji.
\( \text{Mean} = \frac{50400}{10} = 5040 \)
Saka, avhareji yemari inowanikwa pamwedzi i5040 zviuru zverupiah.
Matanho ekuverenga avhareji:
1. Data rakarongeka, saka tora manhamba maviri epakati.
Data repakati ndiro mari yechishanu neyechitanhatu: 5000 ne5100
2. Verengai avhareji seavhareji yemitengo miviri yepakati.
\( \text{Median} = \frac{5000 + 5100}{2} = 5050 \)
Saka, mari yepakati pamwedzi inosvika 5050 rupiah.
Matanho ekuverenga maitiro:
1. Ongorora kana paine zviratidzo zvinoonekwa kakawanda.
Hapana kukosha kunoonekwa kakawanda kupfuura chero kupi zvako.
Saka, hapana nzira yeruzivo rwemari iyoyo.
Muenzaniso Mubvunzo 5: Kushandiswa muAsymmetric Distribution
Mubvunzo:
Boka redata remari inoshandiswa pazuva (muchiuru cherupiah) revadzidzi vapfumbamwe ndeiri: 50, 52, 54, 55, 55, 56, 100, 101, uye 102. Verengai avhareji, avhareji, uye kurukurai kuti ndeipi inomiririra data iri.
Kukurukurirana:
Matanho ekuverenga avhareji:
1. Wedzera kukosha kwese.
\( 50 + 52 + 54 + 55 + 55 + 56 + 100 + 101 + 102 = 625 \)
2. Verenga huwandu hwedata.
Kune manhamba gumi, saka nhamba yedata = 9.
3. Verenga avhareji.
\( \text{Mean} = \frac{625}{9} \inenge 69.44 \)
Saka, avhareji yemari inoshandiswa pazuva inosvika 69.44 zviuru zvemarupiah.
Matanho ekuverenga avhareji:
1. Ronga data wobva waona kukosha kwepakati:
Odha: 50, 52, 54, 55, 55, 56, 100, 101, 102
2. Sezvo nhamba yedata isina kujairika, iyo yepakati ndiyo kukosha kwepakati.
Pakati = kukosha kwechishanu = 55
Saka, avhareji yemari inoshandiswa pazuva ndeye 55 rupiah.
Kukurukurirana:
Mudhatabhesi iyi, mune zvinhu zviviri (100, 101, uye 102) zvakakwirira zvakanyanya kupfuura zvimwe. Izvi zvinosundira avhareji kumusoro uye zvingasaratidza zvakakwana huwandu hwedata. Avhareji inoramba iri 55 rupiah, iyo inomiririra mari yakawanda inoshandiswa nevadzidzi.
Mhedziso
Kuburikidza nemienzaniso iri pamusoro apa, tadzidza maverengero epakati, pakati, uye modhi kubva kumaseti akasiyana-siyana edata. Mean inopa ongororo yakajairika, median inopa kunzwisisa kuri nani kwedata ringangove rakafanana, uye modhi inobatsira pakuona mavalues anowanzoitika. Kusarudza chiyero chakakodzera chetsika yepakati kwakakosha nekuti kunogona kukanganisa kududzirwa kwedata uye sarudzo dzinoitwa zvichibva pairi.
