Udibaniso ku manani: ingqiqo, iimpawu kunye wokubala

Ukuze sinengcamango ngale okanye loo meko, sisoloko ukusebenzisa amaxabiso avareji. Zisetyenziswa ukuthelekisa umgangatho umvuzo kumacandelo ahlukeneyo ezoqoqosho, ubushushu kunye nemvula phezu kwintsimi enye phezu ixesha ezifanayo kwexesha, isivuno izityalo kwiindawo zokuhlala ezahlukeneyo, njalo njalo. D. Noko ke, umlinganiselo na isibonisi jikelele kuphela - kwezinye iimeko lithengele uvavanyo oluchanileyo ngakumbi osondela ezifana ixabiso udibaniso. Ngo-manani, lisetyenziswa njengendawo iimpawu abangabancedani esichazayo ukusasazwa bebubalaselisa ezweni elinabantu elinikiweyo. Makhe sibone indlela eyahluke evela imin, yaye yintoni eyabangela imfuneko ukusetyenziswa kwayo.

Udibaniso ku Statistics: definition kunye neempawu

Khawube nomfanekiso le meko zilandelayo: siqinise, kunye nomlawuli 10 abantu. abasebenzi eziqhelekileyo afumana 1,000 USD, kwaye yinkokheli yabo, ngubani, koko, umnikazi, -. 10,000 USD. Ukuba ukubala imin arithmetic, kuvela ukuba elingu kwi isityalo ilingana 1900 UAH. Ngaba la mazwi ayinyaniso? Okanye, ukuba athathe umzekelo, ewadini sibhedlela ezilithoba ukuya 36.6 ° C lobushushu kunye nomntu omnye kuyo 41 ° C. I-avareji yokalo emileyo kule meko (36,6 * 9 + 41) / 10 = 37,04 ° C. Kodwa ke oku akuthethi ukuba bonke abo langoku ukugula. Konke oku kubonisa ingcamango ukuba medium nto ayisoloko ngokwaneleyo, yaye loo nto, ukongeza ukusetyenziswa udibaniso yayo. Ngo-manani, esi salathisi ubizwa ngokuba ukhetho, nto leyo imi kanye embindini kungcelele wayalela ezinye iilwimi ezahlukeneyo. Ukuba ukubala ngenxa yimizekelo yethu, sifumana ngokulandelelanayo 1000 UAH. kunye 36,6 ° C. Ngamanye amazwi, a udibaniso kwindawo manani lixabiso ukuba yahlula inani kwisiqingatha ukuze kumacala omabini kuyo (phezulu okanye ezantsi) kukho amalungiselelo inani elifanayo leeyunithi iseti elinikiweyo. Ngenxa yale propati, esi salathisi uye amagama ezininzi: i percentile 50 okanye quantile 0.5.

Indlela yokufumana amanqaku angumndilili ku manani

Indlela yokubala ye eli xabiso kuxhomekeke koko kuhlobo series variational siye: a obubobu okanye lekhefu. Kwimeko yokuqala, sasazo manani ilula. Konke ekufuneka uyenze ukuze ufumane inani ezitsho, kuyahlula ngo-2 uze nongeze ngenxa ½. Kungcono ukuchaza umgaqo yokubala mzekelo ulandelayo. Masithi siye amaqela data ukuzalwa kwaye kufuneka ukufumanisa ukuba yintoni na udibaniso.

Ukuba ezinye izibalo ezilula, sinokuyifumana ukuba icandelo Umnqweno womntu: 195/2 + ½ = 98, ngamanye amazwi, 98th version. Ukuze ukufumana phandle ekuthethayo, lo rhoqo kufuneka asoloko angemi, kuqalwa khetho ubuncinane. Ngenxa yoko, umdibaniso wezintlu ezimbini zokuqala kusinika 30 Kucacile ukuba kukho 98 iindlela apho. Kodwa ukuba sithe saphinda ngesiphumo amaza lesithathu ukhetho (70), siya bafumane isixa esilingana 100 Kuyinto nje lobeko 98-I, ngoko ke udibaniso le ntsapho unabantwana ababini. Ke inani le lokuphumla, apho ngokuqhelekileyo kusetyenziswa le ndlela ilandelayo:

M _e = X + i _{Me Me} * (Σf / 2 - S _Me-1) / f _kum, apho:

• X _Me - ixabiso median le lokuphumla yokuqala;
• Σf - inani thotho (inani ezitsho);
• i _Me - median kobubanzi;
• f _Me - median frequency uluhlu;
• _{Me-S 1} - sum of ezitsho ikhula izibopho ezandulela udibaniso.

Kwakhona, ngaphandle umzekelo apha zicwadi kunzima ukuyiqonda. Masithi kufuneka data kwi ixabiso umvuzo.

Ukusebenzisa indlela ngasentla, kufuneka kuqala ukugqiba lokuphumla udibaniso. Njengokuba ummandla loo lukhethiwe, i rhoqo yakhona ingaphezulu ngaphezu kwesiqingatha isixa frequency okanye ilingana. Ngoko ke, ebabela 510 ngo-2, siye sibone ukuba lo njengenqobo elivumelana lekhefu ukusuka ixabiso womvuzo 250.000 engange. ukuya ku 300,000 engange. Ngoku ke kunokwenzeka ukuba kufakwe yonke idatha kwi ifomula:

M _e = X + i _{Me Me} * (Σf / 2 - S _Me-1) / f _kum = 250 + 50 * (510/2 - 170) / 115 = 286,96 amawaka Hlikihla..

Sinethemba Inqaku lethu ibe luncedo, kwaye ngoku ingcamango olucacileyo udibaniso kwi-manani nendlela kufuneka kubalwe kuyo.