Maitiro Ekuverenga Mean, Median, uye Mode: Gwaro Rakakwana
Pendauluan
Muhuwandu hwezviverengero, kunzwisisa maverengero epakati, pakati, uye modhi kwakakosha nekuti aya ndiwo matanho matatu anonyanya kushandiswa epakati. Avhareji, pakati, uye modhi zvinoshandiswa kupfupisa seti yedata renhamba nenhamba imwe chete, inomiririra zvakanyanya. Kunyange zvazvo ese matatu achigona kushandiswa pamwe chete, pane misiyano yakakura mukuti anoverengwa sei uye mamiriro ezvinhu apo chiyero chimwe nechimwe chakakodzera.
Avhareji (Avhareji)
Zvirokwazvo
Avhareji ihuwandu hwese hwese huri mudata rakakamurwa nenhamba yehuwandu ihwohwo. Avhareji inopa pfungwa ye 'pakati' pedata, asi inokanganiswa zvakanyanya ne outliers (extreme values).
Matanho Ekuverenga Avhareji
1. Wedzera kukosha kwese: Wedzera kukosha kwese kuri mudataset.
2. Verenga Nhamba yeData: Sarudza kuti mangani mavalues ari mudataset.
3. Govanisa Huwandu hweMakoshero Ese neNhamba yeData: Mhedzisiro yekugovanisa uku ndiyo avhareji yedataseti.
Muenzaniso:
Ngatitii tine data rinotevera: 3, 7, 8, 9, 10.
- Wedzera kukosha kwese: 3 + 7 + 8 + 9 + 10 = 37
– Nhamba yedata: 5
– Verenga avhareji: 37 / 5 = 7.4
Saka, avhareji yedata iri i7.4.
Pakati (Kukosha Kwepakati)
Zvirokwazvo
Mupakati ndiwo mutengo wepakati uri mudhatabhesi yakarongwa nenhamba. Kana nhamba yemitengo iri mudhatabhesi iri isina kujairika, mupakati ndiwo mutengo wepakati. Kana nhamba yemitengo iri yakaenzana, mupakati ndiwo avhareji yemitengo miviri yepakati.
Matanho Ekuverenga Pakati
1. Ronga Makoshero: Ronga makoshero ari mudhatabhesi kubva padiki kusvika pakuru.
2. Sarudza Nhamba Yezvinhu Zvinokosha: Verenga nhamba yezvinhu zviri mudhatabhesi.
3. Tsvaga Kukosha Kwepakati:
– Kana nhamba yenhamba isingawanzoitiki, iyo yepakati ndiyo iyo yepakati.
– Kana nhamba yenhamba yakaenzana, iyo yepakati ndiyo avhareji yenhamba mbiri dzepakati.
Muenzaniso 1 (Huwandu hweMakoshero Asinganzwisisike):
Seti yedata: 3, 7, 8, 9, 10
- Ronga kukosha: 3, 7, 8, 9, 10
– Kukosha kwese: 5 (zvisingawanzoitiki)
– Pakati: Kukosha kwechitatu (7)
Saka, avhareji yedata iri i8.
Muenzaniso 2 (Huwandu Hwezvinhu Zvakafanana):
Seti yedata: 2, 4, 6, 8, 10, 12
- Ronga kukosha: 2, 4, 6, 8, 10, 12
– Kukosha kwese: 6 (zvakaenzana)
– Pakati: avhareji yenhamba yechitatu neyechina -> (6 + 8) / 2 = 7
Saka, avhareji yedata iri i7.
Mode (Inonyanya Kuonekwa)
Zvirokwazvo
Iyo modhi ndiyo kukosha kunowanzoonekwa mu data set. Dataset inogona kunge iine nzira dzinopfuura imwe chete kana kutoshaya zvachose kana pasina kukosha kunowanikwa kakawanda kupfuura dzimwe.
Matanho Ekuverenga Mode
1. Verenga Kuwanda Kwekukosha Kwega Kwega: Sarudza kuti kukosha kwega kwega kunoonekwa kangani mudhatabhesi.
2. Ziva Kukosha Nekakawanda Kakawanda: Kukosha kunowanzoonekwa ndiyo modhi.
Muenzaniso:
Ngatitii tine data rinotevera: 4, 4, 5, 7, 7, 7, 8, 9, 9.
- Verenga kuwanda kwehuwandu hwese:
- 4 inoonekwa kamwe chete
- 5 inoonekwa kamwe chete
- 7 inoonekwa kamwe chete
- 8 inoonekwa kamwe chete
- 9 inoonekwa kamwe chete
Saka, maitiro edata iri i7 nekuti rinoonekwa kakawanda (katatu).
Nyaya Dzakakosha
Hapana Modhi:
Kana kukosha kwega kwega mudataset kuchionekwa nefrequency imwechete, saka hapana mode. Muenzaniso: 2, 3, 4, 5.
Multimodal:
Kana mavalues maviri kana anopfuura achionekwa aine frequency yakafanana uye frequency iyoyo iri yepamusoro mudataset, saka dataset inonzi multimodal. Semuenzaniso: 2, 3, 3, 4, 4 ine mamodhi maviri, anoti 3 ne4.
Kusarongeka kwekugovera:
– Yakatsveyamiswa Zvakanaka: Pakati > Pakati > Maitiro
– Yakakanganisika Zvisina Kunaka: Mode > Median > Avhareji
Mashandisirwo uye Miganhu
Kushanda
1. Avhareji inoshandiswa mumamiriro ezvinhu apo nhamba yega yega iri mudataset yakakosha uye pasina zvinhu zvakasiyana-siyana. Muenzaniso: kuverenga avhareji yemapoinzi ebvunzo mukirasi.
2. Mutsetse wepakati unobatsira zvikuru kana data riine zvinhu zvisingawanikwe kana kuti kugoverwa kwacho kusina kunaka. Semuenzaniso, kutsvaga mutengo wepakati weimba munzvimbo.
3. Modhi inowanzo shandiswa mu data remhando yepamusoro kana data rine huwandu hwakawanda hwemutengo chaiwo. Semuenzaniso, kusarudza saizi yezvipfeko zvinotengeswa zvakanyanya muchitoro.
Miganhu
– Avhareji yacho inokanganiswa zvakanyanya nezvinhu zvisingawanikwe saka hazviwanzo ratidza 'pakati' chaipo pedata rine kugoverwa kwakatsauka.
- Mutsetse wepakati haufungi nezvese kukosha kuri mudhata saka ungasaratidze ruzivo rwese rwuri mudhata.
– Modhi inogona kusapa mufananidzo wakakwana wedata, kunyanya kana zvese zvine frequency yakafanana kana kuti paine mamodhi akawanda.
Mhedziso
Avhareji, midhiya, uye modhi zviyero zvitatu zvinobatsira zvikuru zvepakati pekuongorora data. Chimwe nechimwe chine mashandisirwo akasiyana uye zvipingamupinyi, uye kusarudza chakakodzera zvinoenderana nehunhu hwedata uye mubvunzo wekuongorora uripo. Nekunzwisisa maverengero uye nguva yekushandisa chiyero chimwe nechimwe, tinogona kuita sarudzo dzakanyatsojeka uye dzakarurama dzinotungamirirwa nedata.
