Tsenguluso ya Zwipiḓa
Vhukhakhi ha vhili vhu kwama mabuli a re tsini na tsini nga tshifhinga tshithihi, ngauralo lingani zwipiḓa zwa vhili, hu si nomboro nthihi fhedzi.

Kuvhanganyani mabuli a 37 nga zwipiḓa zwi tevhekanaho ni vhambedze u wanala ho vhonwaho na zwo lavhelelwaho kha tshipiḓa tshiṅwe na tshiṅwe. U kheluwa ha vhukuma kanzhi hu vhonala sa tshipiḓa tshithihi kana zwivhili zwi re tsini zwi tshi fhisa kha tsumbo dzi ḓiimisaho.
Maitele
Khethekanyani vhili nga zwipiḓavhiliTshipiḓaMabuli a tevhekanaho kha vhili, a ita tshipiḓa tsha tshiṱuluwa, zwi fhambanaho na tshigwada kha mapa wa tafula.Vhalani zwoṱhe → zwi tevhekanaho, kanzhi zwipiḓa zwa rathi zwa mabulizwishumiswaBuliḼiṅwe ḽa mabuli a 37 o ṅwalwaho nomboro kha rotara. Ḽi dovha ḽa vhidzwa: slot, cup.Vhalani zwoṱhe → a rathi kana sumbe, ni tshi tevhela nzudzanyo ya vhili hu si mapa wa tafulazwishumiswaMapa wa tafulaGiridi ya bete yo gandiswaho kha tafula. U dovha wa vhidzwa: tafula, felt, cloth.Vhalani zwoṱhe →. Kha tshipiḓa tshiṅwe na tshiṅwe tsha mabuli a k, u wanala ho lavhelelwaho ndi n·k/37 nahone phambuwo ya tshiṱandadimathematikiPhambuwo ya tshiṱandadiMudzi wa tshikwea wa vhariantsi; tshikhala tsha ḓuvha ḽiṅwe na ḽiṅwe vhukati ha mvelelo na ndeme yo lavhelelwaho.Vhalani zwoṱhe → ndi √(n·p·(1−p)) hu na p = k/37. Vhalelani z = (zwo vhonwaho − zwo lavhelelwaho)/σ kha tshipiḓa tshiṅwe na tshiṅwe. Tshipiḓa tshi re nṱha ha +2 tshi fanela u sedzwa hafhu; nṱha ha +3, kha tsumbo mbili dzi ḓiimisaho, zwi a takadza.
Ndi ngani zwipiḓa
Ndingo dza buli ḽithihi dzi na zwibuli zwa 37 zwa u ṋea mvelelo ya mazwifhi na tsumbo ṱhukhu kha tshiṅwe na tshiṅwe. Ndingo dza zwipiḓa dzi na zwibuli zwa rathi na tsumbo i ṱanganelaho kha mabuli a re tsini. Dzi dovha dza tendelana na fiziki: vhili ḽo kotamaho ḽi ita uri bolazwishumiswaBolaBola ṱhukhu ine ya poswa kha nḓila nga thungo yo fhambanaho na rotara. Bola dza ano maḓuvha dzi itwa nga ivorine kana Teflon, 18–21 mm.Vhalani zwoṱhe → i bve kha nḓila nga maanḓa kha thungo ya nṱha, zwine zwa tikedza tshipiḓa; tshikhaukanyizwishumiswaTshikhaukanyiTshikhaukanyi tsha tsimbi vhukati ha mabuli mavhili kha vhili.Vhalani zwoṱhe → tsho leluwaho kana tsho kotamaho tshi shandukisa u fhufha ha mabuli a re tsini natsho; nḓila ya bolazwishumiswaNḓila ya bolaMugero u re kha mukumbululo une bola ya tshimbila khawo i sa athu ṱavhanya hu tshi fhungudzea na u wela. Hu dovha ha vhidzwa: nḓila ya nṱha.Vhalani zwoṱhe → yo sinyalaho i ita fhethu ha u wa hu tikedzaho mabuli ana a re fhasi haho musi bola i tshi wa, zwine, musi luvhilo lwa rotarazwishumiswaRotaraTshipiḓa tsha vhili tshine tsha mona nahone tsho fara mabuli.Vhalani zwoṱhe → lu tshi shanduka zwiṱuku nga zwiṱuku, zwa phaḓalala kha tshipiḓa tshihulwane. A hu na na vhuthihi ha vhukhakhi uhu vhu tikedzaho buli ḽithihi ḽo ḓitikaho.
Zwipiḓa zwi tshimbilaho
Mikano i sa shanduki i nga khethekanya tshipiḓa tshi fhisaho vhukati ha zwipiḓa zwivhili ya tshi fhungudza. Nḓila i engedzaho i tshimbidza fasiṱere ḽa mabuli a k u mona na vhili, i tshi vhalela z kha fhethu huṅwe na huṅwe ha 37, ya ṱoḓa tshivhalo tshihulwane. Tshivhalo tshihulwane kha zwivhalo zwa z zwa 37 zwi re na vhushaka musi vhili ḽi songo kheluwa kanzhi tshi vha tshi ṱoḓa u vha 2.2 u swika 2.5, ngauralo tshivhalo tshihulwane tsha fasiṱere ḽi tshimbilaho tshi re fhasi ha 2.5 ndi phambano dza khonadzeo, nahone mukano wa u ṱoḓa u sedza tshi vha nṱha nga u ralo, tshi ṱoḓaho u vha 3.5.
U bva kha tshipiḓa u ya kha bete
Arali tshipiḓa tsho khwaṱhisedzwa tshi tshi fhisa, bete i ḓisaho ndi vhahurabeteVhahuraNomboro na mabuli mavhili kha thungo iṅwe na iṅwe yayo kha vhili, zwipisi zwiṱanu zwa bete ya nomboro nthihi.Vhalani zwoṱhe → kha vhukati hatsho kana nzudzanyo yo vhewaho nga tshanḓa ya dzibete dza nomboro nthihibeteNomboro nthihiNomboro nthihi, i badela 35:1.Vhalani zwoṱhe → kha tshoṱhe. Ndingo ya u lifha ndi u wanala ha tshipiḓa u vhambedzwa na mbadelotsheledeMbadeloZwine bete yo kundaho ya humisa, zwi tshi ambiwa sa “X kha 1” nṱha ha tshelede ya bete i humiswaho.Vhalani zwoṱhe →: tshipiḓa tsha mabuli a rathi tshi fanela u wanala nga u fhira 6/36 = 16.7% ya tshifhinga (zwo vhonwaho, zwo dovholwaho) uri zwipisitsheledeTshipisiTshiga tshine tsha imela tshelede yo tiwaho, tshi vhewaho kha mapa wa tafula u vhea bete. Tshi dovha tsha vhidzwa: check.Vhalani zwoṱhe → zwa rathi zwa nomboro nthihi zwi swike kha vhuimo ha u lingana, u vhambedzwa na 16.2% ya vhili ḽi songo kheluwaho. Phambano ndi hafu ya phesenthe, ndi ngazwo u i khwaṱhisedza zwi tshi ṱoḓa mimono ya makumi a zwigidi.
Tshisaukanyi
Tshisaukanyi tsha u kheluwa ha vhili kha ino saithi tshi ṱanganedza mutevhe wa mimono, tsha vhalela chi-square, nahone tsha sumbedza vhili sa mapa wa u fhisa na zwivhalo zwa z zwa zwipiḓa, tshi tshi shumisa u khethekanya ha afho nṱha sa ha u thoma. Tshi dovha tsha ṱanganyisa data yaṋu u sumbedza uri zwiṱatisiṱiki zwenezwo zwi vhonala hani musi vhili ḽi songo kheluwa, zwine zwa vha mushonga u ṱavhanyaho wa u vhona zwivhumbeo zwi siho.
Fomula
Mbudziso
Rathi ndi tshivhalo tshi ḓoweleaho. Zwi si gathi zwi xelela vhuṱanḓavhuṱanḓa; zwinzhi zwi xelela maanḓa. Tanganani nga phanḓa.
Zwi ṱanganyiseni ni vhalele z ya tshipiḓa tsho ṱanganyiswaho. Vhukhakhi ha vhukuma kanzhi vhu wela kha mukano.
Hai. Zwipiḓa ndi zwipiḓa zwa vhili. DazinibeteDazini1–12, 13–24 kana 25–36, i badela 2:1.Vhalani zwoṱhe → na kholomubeteKholomuNomboro dza fumi na mbili kha kholomu nthihi ya u tou ima kha mapa wa tafula, i badela 2:1.Vhalani zwoṱhe → a si zwipiḓa.
Zwa u sea

Vhukhakhi ndi ha zwiṱhu zwi farwaho. Zwi farwaho zwi fhethu huthihi. Lingani zwipiḓa.
Zwiko
- Barnhart, R. T. Beating the Wheel.
- Pearson, K. “On the criterion that a given system of deviations from the probable…”