Tshawb nrhiav qee qhov kev ntsuas ntawm txoj haujlwm nruab nrab
Cov tub ntxhais kawm feem ntau pom tau hais tias nws yooj yim los totaub qhov phem, nruab nrab, thiab hom. Txawm hais tias tag nrho cov kev ntsuas ntawm cov hauv paus hauv nruab nrab, muaj qhov sib txawv hauv kev sib txawv ntawm txhua tus txhais tau li cas thiab seb lawv raug suav. Tshawb nrhiav qee cov lus qhia pabcuam los pab koj paub qhov txawv ntawm nruab nrab, nruab nrab, thiab hom thiab kawm paub txhua qhov kev ntsuas kom raug.
Peb Txhais li cas los ntawm txhais hais tias, Median, thiab Hom?
Yuav kom nkag siab qhov txawv ntawm nruab nrab, nruab nrab, thiab hom, pib los ntawm txhais cov ntsiab lus.
- Qhov txhais yog qhov nruab nrab nruab nrab ntawm ib txheej ntawm cov zauv.
- Tus zauv nruab nrab yog qhov qhab-nees nruab nrab hauv ib pawg zauv.
- Qhov hom yog qhov feem ntau tshwm sim ntawm cov qhab nia ntawm cov zauv.
Yuav Muab Xam Lij Li Cas
Qhov nruab nrab, lossis qhov nruab nrab, raug suav los ntawm kev ntxiv cov qhab nia thiab faib tawm tag nrho los ntawm tus xov tooj ntawm cov qhab nia. Xav txog cov najnpawb nram qab no: 3, 4, 6, 6, 8, 9, 11. Qhov nruab nrab yog xam raws li hauv qab no:
- 3 + 4 + 6 + 6 + 8 + 9 + 11 = 47
- 47/7 = 6.7
- Qhov nruab nrab (nruab nrab) ntawm tus lej teev yog 6.7.
Yuav ua li cas los xam cov neeg Median
Tus zauv nruab nrab yog qhov qhab-nees nruab nrab ntawm kev faib khoom. Los xam cov neeg nruab nrab
- Npaj koj cov lej hauv kev txiav txim zauv.
- Suav seb pes tsawg tus lej koj muaj.
- Yog tias koj muaj ib qho xov tooj khib nyiab, faib rau 2 los ua ke kom tau txoj hauj lwm ntawm tus xov tooj nrab.
- Yog tias koj muaj tus lej, faib los ntawm 2. Mus rau tus naj npawb hauv txoj hauj lwm ntawd thiab nruab nrab nws nrog tus naj npawb hauv qib tom ntej kom tau txais tus neeg nruab nrab.
Xav txog cov lej no: 5, 7, 9, 9, 11. Txij li thaum koj muaj qhab nia qhov qhab nia, tus kws kho mob yuav yog 9. Koj muaj tsib tus lej, yog li koj faib 5 los 2 mus 2.5, 3. Tus naj npawb hauv txoj haujlwm thib peb yog tus zauv nruab nrab.
Muaj dab tsi tshwm sim thaum uas koj muaj cov qhab nees xwv thiaj li tsis muaj cov qhab nees nruab nrab?
Xav txog cov lej no: 1, 2, 2, 4, 5, 7. Txij li thaum muaj cov qhab nia, koj yuav tsum tau ntsuas cov qhab nias nruab nrab ntawm ob, xam cov txhais tau tias.
Nco ntsoov, qhov txhais tau tias yog muab cov qhab nias ua ke thiab muab faib los ntawm tus lej ntawm cov qhab nia ntxiv. Hauv qhov no, qhov phem yuav 2 + 4 (ntxiv rau ob tus lej nruab nrab), uas yog qhov sib npaug 6. Tom qab ntawd, koj siv 6 thiab faib nws los ntawm 2 (tag nrho cov qhab-nees uas koj muab tso ua ke), qhov sib npaug 3. Li ntawd, rau qhov kev piv txwv, tus zauv nruab nrab yog 3.
Xam cov hom
Txij li thaum lub hom yog qhov feem ntau tshwm sim ntawm cov qhab nees, tsuas yog xaiv qhov feem ntau cov tau qhab nia raws li koj hom. Xav txog tus lej nram qab no ntawm 2, 3, 6, 3, 7, 5, 1, 2, 3, 9. Cov hom ntawm cov lej no yuav yog 3 txij li peb yog tus naj npawb uas zauv feem ntau. Hauv cov xwm txheej uas koj muaj ntau heev ntawm cov qhab nias, tsim kom muaj qhov kev faib tawm zaus yuav pab tau txiav txim siab rau hom.
Hauv qee cov lej, yuav muaj ob hom. Qhov no hu ua bi-modal faib thiab nws tshwm sim thaum muaj ob tus lej uas khi rau zaus. Piv txwv, xav txog cov lej hauv qab no: 13, 17, 20, 20, 21, 23, 23, 26, 29, 30. Hauv cov teeb no, ob qho tib si 20 thiab 23 muaj ob zaug.
Yog hais tias tsis muaj tus naj npawb hauv ib qho teeb meem tshwm sim ntau tshaj ib zaug, ces tsis muaj hom rau qhov txheej ntawm cov ntaub ntawv.
Kev siv ntawm qhov txhais, nruab nrab los sis hom
Koj txiav txim siab seb puas yuav siv qhov nruab nrab, nruab nrab, los sis hom twg? Txhua qhov kev ntsuas ntawm qhov kev xav hauv nruab nrab nws muaj nws qhov kev txawj thiab qhov tsis muaj zog, yog li qhov koj xaiv yuav siv raws li qhov teeb meem tshwj xeeb thiab seb koj tab tom sim qhia koj cov ntaub ntawv.
- Qhov nruab nrab siv txhua tus lej hauv ib pawg los nthuav qhia qhov kev ntsuas ntawm qhov kev xav hauv nruab nrab; Txawm li cas los xij, cov neeg tawm tsam tuaj yeem cuam tshuam kev ntsuas tag nrho. Piv txwv, ob peb cov qhab nees siab yuav ua rau lub ntsiab lus qis dua kom qhov qhab nia nruab nrab tau tshwm sim ntau dua qhov feem ntau ntawm cov qhab nias yeej yog.
- Tus neeg nruab nrab tau tshem ntawm cov qhab nia siab tsis tshua meej los sis qis, tab sis nws yuav tsis txaus sawv cev rau cov txheej txheem.
- Cov hom yuav tsis tshua muaj kev cuam tshuam los ntawm cov neeg ua haujlwm thiab yog qhov zoo thaum sawv cev rau qhov "typical" rau ib pawg zauv, tab sis tej zaum yuav tsis tshua muaj txiaj ntsig rau qhov tsis muaj tus naj npawb tshwm sim ntau tshaj ib zaug.
Xav txog ib qho teeb meem uas tus tswv tsev muag khoom xav tau ib qho kev ntsuas ntawm cov tsev uas nws tau muag hauv xyoo tas los no. Nws ua ib daim ntawv teev tag nrho cov lus sau:
- $ 75,000
- $ 75,000
- $ 150,000
- $ 155,000
- $ 165,000
- $ 203,000
- $ 750,000
- $ 755,000
Qhov txhais rau cov pab pawg no yog $ 291,000, tus neeg nruab nrab yog $ 160,000 thiab hom $ 75,000. Koj xav hais tias qhov kev ntsuas zoo tshaj plaws ntawm cov hauv paus ntawm cov teeb meem muag khoom? Yog tias nws xav tau ntau tshaj plaws, qhov txhais tau tias yog qhov zoo tshaj plaws kev xaiv txawm tias tag nrho yog skewed los ntawm ob qho tib si. Cov hom, tiam sis, yuav tsis yog qhov xaiv zoo vim nws yog qhov tsawg kawg nkaus thiab tsis yog ib qho zoo sawv cev ntawm nws kev muag khoom rau lub xyoo. Tus pauv nrab, ntawm qhov tod tes, zoo li qhov qhia tau zoo ntawm qhov "cov khoom" muag khoom ntawm nws daim ntawv teev cov khoom vaj tse.
> Qhov chaw:
> Hogg RV, McKean JW, Craig AT. Taw qhia rau Mathematical Statistics . Boston: Pearson; 2013.
> Cov kev ntsuas ntawm lub hauv paus hauv siab. Aerd txheeb cais.