Momwe Mungawerengere Mean, Median, ndi Mode: Buku Lophunzitsira Lonse
Pendauluan
Mu ziwerengero, kumvetsetsa momwe mungawerengere mean, median, ndi mode ndikofunikira chifukwa izi ndi njira zitatu zomwe zimagwiritsidwa ntchito kwambiri poyesa pakati. Mean, median, ndi mode amagwiritsidwa ntchito pofotokozera mwachidule deta ya manambala ndi nambala imodzi, yoyimira kwambiri. Ngakhale kuti zonse zitatuzi zingagwiritsidwe ntchito pamodzi, pali kusiyana kwakukulu pa momwe zimawerengedwera komanso momwe muyeso uliwonse ulili woyenera.
Avereji (Avereji)
Tanthauzo
Avereji ndi chiwonkhetso cha mitengo yonse mu seti ya deta yogawidwa ndi chiwerengero cha mitengo imeneyo. Avereji imapereka lingaliro la 'pakati' pa seti ya deta, koma imakhudzidwa kwambiri ndi zinthu zosafunikira (mitengo yokwera kwambiri).
Masitepe Owerengera Avereji
1. Sakanizani Miyezo Yonse: Onjezani miyezo yonse mu deta.
2. Werengani Chiwerengero cha Deta: Dziwani kuchuluka kwa ma values omwe ali mu deta.
3. Gawani Chiwerengero cha Miyezo Yonse ndi Chiwerengero cha Deta: Zotsatira za kugawa kumeneku ndi avareji ya deta.
Chitsanzo:
Tiyerekeze kuti tili ndi deta yotsatirayi: 3, 7, 8, 9, 10.
- Onjezani miyeso yonse: 3 + 7 + 8 + 9 + 10 = 37
– Chiwerengero cha deta: 5
– Werengerani avareji: 37 / 5 = 7.4
Chifukwa chake, avereji ya deta iyi ndi 7.4.
Wapakati (Mtengo Wapakati)
Tanthauzo
Wapakati ndi mtengo wapakati mu deta yolongosoledwa bwino. Ngati chiwerengero cha mitengo mu deta ndi chosamvetseka, wapakati ndi mtengo wapakati. Ngati chiwerengero cha mitengo ndi chofanana, wapakati ndi avareji ya mitengo iwiri yapakati.
Masitepe Owerengera Pakati
1. Konzani Ma Values: Konzani ma values mu deta kuyambira yaying'ono mpaka yayikulu.
2. Dziwani Chiwerengero cha Makhalidwe: Werengani chiwerengero cha ma makhalidwe omwe ali mu deta.
3. Pezani Mtengo Wapakati:
– Ngati chiwerengero cha mitengo ndi chosamvetseka, mtengo wapakati ndi wapakati.
– Ngati chiwerengero cha miyeso chili chofanana, wapakati ndiye avareji ya miyeso iwiri yapakati.
Chitsanzo 1 (Chiwerengero cha Miyezo Yosafanana):
Seti ya deta: 3, 7, 8, 9, 10
- Sankhani mitengo: 3, 7, 8, 9, 10
– Mtengo wonse: 5 (zosamveka)
– Wapakati: Mtengo wachitatu (7)
Chifukwa chake, apakati pa deta iyi ndi 8.
Chitsanzo 2 (Chiwerengero Chofanana cha Makhalidwe):
Seti ya deta: 2, 4, 6, 8, 10, 12
- Sankhani mitengo: 2, 4, 6, 8, 10, 12
– Mtengo wonse: 6 (wofanana)
– Wapakati: avareji ya mtengo wachitatu ndi wachinayi -> (6 + 8) / 2 = 7
Chifukwa chake, apakati pa deta iyi ndi 7.
Njira (Mtengo Womwe Umawonekera Kawirikawiri)
Tanthauzo
Mawonekedwe ndi mtengo womwe umawonekera kawirikawiri mu seti ya deta. Seti ya deta ikhoza kukhala ndi mitundu yoposa imodzi kapena yopanda mawonekedwe konse ngati palibe mtengo womwe umawonekera mobwerezabwereza kuposa ena.
Masitepe Owerengera Njira
1. Werengani Kuchuluka kwa Mtengo Uliwonse: Dziwani kangati mtengo uliwonse umawonekera mu deta.
2. Dziwani Mtengo ndi Mafupipafupi Aakulu: Mtengo womwe umawonekera kawirikawiri ndi mawonekedwe.
Chitsanzo:
Tiyerekeze kuti tili ndi deta yotsatirayi: 4, 4, 5, 7, 7, 7, 8, 9, 9.
- Werengani kuchuluka kwa mtengo uliwonse:
- 4 amawonekera katatu
- 5 amawonekera katatu
- 7 amawonekera katatu
- 8 amawonekera katatu
- 9 amawonekera katatu
Chifukwa chake, mawonekedwe a deta iyi ndi 7 chifukwa imawonekera pafupipafupi (katatu).
Milandu Yapadera
Palibe Mode:
Ngati mtengo uliwonse mu deta ukuwoneka ndi ma frequency omwewo, ndiye kuti palibe mawonekedwe. Chitsanzo: 2, 3, 4, 5.
Multimodal:
Ngati ma values awiri kapena kuposerapo akuwoneka ndi ma frequency omwewo ndipo ma frequency amenewo ndi apamwamba kwambiri mu dataset, ndiye kuti dataset imatchedwa multimodal. Mwachitsanzo: 2, 3, 3, 4, 4 ili ndi ma modes awiri, omwe ndi 3 ndi 4.
Kusakhazikika kwa Kugawa:
- Wopotoka Moyenera: Wapakati > Wapakati > Mtundu
– Yopotoka Moyipa: Mode > Median > Mean
Ntchito ndi Zoletsa
Kugwiritsa ntchito
1. Avereji imagwiritsidwa ntchito pazochitika zomwe nambala iliyonse mu deta ndi yofunika ndipo palibe zinthu zina zapadera. Chitsanzo: kuwerengera avareji ya mayeso mu kalasi.
2. Wapakati amakhala wothandiza kwambiri ngati deta ili ndi zinthu zina zosiyana kapena kugawa kwake kuli kolakwika kwambiri. Mwachitsanzo, kupeza mtengo wapakati wa nyumba m'dera linalake.
3. Nthawi zambiri njira imagwiritsidwa ntchito mu deta yamagulu kapena deta yomwe ili ndi kuchuluka kwamtengo wapatali. Mwachitsanzo, kudziwa kukula kwa zovala zomwe zimagulitsidwa kwambiri m'sitolo.
Zolepheretsa
– Avereji imakhudzidwa kwambiri ndi zinthu zina zosafunikira ndipo nthawi zonse sizimawonetsa 'pakati' penipeni pa deta yokhala ndi kugawa kosakhazikika.
- Wapakati saganizira mtengo uliwonse womwe uli mu deta kotero sangawonetse zonse zomwe zili mu deta.
– Mawonekedwe sangapereke chithunzi chonse cha deta, makamaka ngati mitengo yonse ili ndi ma frequency ofanana kapena pali ma modes angapo.
Mapeto
Avereji, apakati, ndi mawonekedwe ndi njira zitatu zothandiza kwambiri zoyezera chizolowezi chachikulu pakusanthula deta. Chilichonse chili ndi ntchito ndi zoletsa zosiyanasiyana, ndipo kusankha yoyenera kumadalira mawonekedwe a deta ndi funso lofufuza lomwe lili pafupi. Pomvetsetsa momwe tingawerengere komanso nthawi yogwiritsira ntchito muyeso uliwonse, titha kupanga zisankho zolondola komanso zolondola zokhudzana ndi deta.