Xov xwm thiab Society, Kev khwv nyiaj txiag
Lub weighted nruab nrab nqi - dab tsi yog nws thiab yuav ua li cas yog nws xam?
Nyob rau hauv tus txheej txheem ntawm kev kawm ua lej me nyuam kawm ntawv paub txog lub tswvyim ntawm xam txhais li cas. Tom qab ntawd nyob rau hauv lub txheeb cais thiab lwm yam science me nyuam kawm ntawv lub ntsej muag thiab lwm yam nrog rau lub xam ntawm nrim. Raws li lawv tej zaum yuav, thiab txawv los ntawm txhua lwm yam?
Nruab nrab qhov tseem ceeb: lub ntsiab lus thiab sib txawv
Nws yog tsis yog ntsuas muab ib qho kev nkag siab txog ntawm qhov teeb meem no. Nyob rau hauv kev txiav txim rau kev ntsuam xyuas ib tug teeb meem no xyov, nws yog tsim nyog tej zaum txheeb xyuas ib tug lossis loj npaum li cas ntawm cov zauv. Thiab ces tuaj mus rau cov kev pab nrim. Lawv cia rau kev ntsuam xyuas qhov teeb meem no nyob rau hauv feem ntau.
Feem ntau nyob rau hauv lub xyoo kawm ntawv thiab kawm cov geometric phem. Lub xam ntawm cov nqi no yog raws li nyob rau hauv lub extraction ntawm n-hydrochloric hauv paus ntawm qhov khoom ntawm n-neeg. Yog hais tias peb noj tib yam tus xov tooj: 27, 22, 34 thiab 37, lub xam tshwm sim yog sib npaug zos rau 29,4.
Lub harmonic phem nyob rau hauv ib tug kawm ntawv theem nrab yog feem ntau tsis yog ib tug kawm ntawm txoj kev tshawb no. Cuaj kaum, nws yog siv ntau heev. Qhov no tus nqi yog lub ntxeev ntawm lub xam txhais li cas thiab yog xam raws li lub quotient ntawm n - tus naj npawb ntawm qhov tseem ceeb thiab lub sum ntawm 1 / ib tug 1 + 1/2 + ... + 1 / ib tug n. Yog hais tias koj tseem noj tib yam set ntawm cov zauv rau lub xam, cov harmonic cov ntsiab lus ntawm 29,6.
Qhov hnyav nruab nrab: yam ntxwv
Txawm li cas los, tag nrho cov ntawm cov ntau yuav siv tsis tau rau qhov txhia chaw. Piv txwv li, nyob rau hauv ib co txheeb cais nyob rau hauv lub xam ntawm qhov nruab nrab qhov tseem ceeb ntawm qhov tseem ceeb luag hauj lwm ntawm ib tug "hnyav" ntawm txhua tooj siv nyob rau hauv suav. Cov kev tshwm sim muaj ntau Schedule thiab siv tau raws li tso cai rau cov lus qhia ntxiv. Qhov no pab pawg neeg ntawm ntau yam yog cov general lub npe ntawm "weighted nruab nrab". Lawv tsis txhob mus rau lub tsev kawm ntawv, li ntawd, lawv yeej muaj nqis saib nyob rau hauv ntau yam.
Ua ntej ntawm tag nrho cov, nws yuav tsum qhia rau koj dab tsi yog meant los ntawm lub "hnyav" ntawm ib tug nqi. Qhov yooj yim txoj kev uas yuav piav txog qhov no yog ib qhob piv txwv. Ob zaug ib hnub twg nyob rau hauv lub tsev kho mob muaj yog ib lub cev kub ntsuas nyob rau hauv txhua tus neeg mob. Ntawm 100 tus neeg mob nyob rau hauv ntau yam tsev kho mob departments 44 yuav tsum yog ib tug qub kub - 36,6 degrees. Nyob rau hauv lwm 30 yuav tau nce tus nqi - 37,2, 14 - 38, 7 - 38,5, los ntawm 3 - 39, thiab tshuav ob - 40. Thiab yog hais tias koj noj cov zauv txhais tau tias, cov nqi no yog feem ntau nyob rau hauv lub tsev kho mob yuav tsum ntau tshaj 38 degrees! Tab sis yuav luag ib nrab ntawm cov neeg mob kiag li txwm kub. Thiab ntawm no nws yog ntau yog siv cov weighted nruab nrab nqi, thiab tus "hnyav" ntawm txhua nce mus nce los yog tus xov tooj ntawm cov neeg. Nyob rau hauv cov ntaub ntawv no, lub txiaj ntsim ntawm lub xam yuav tsum 37,25 degrees. Qhov txawv yog cuab kev.
Nyob rau hauv cov ntaub ntawv ntawm lub weighted nruab nrab suav rau lub "qhov hnyav" tej zaum yuav lub xov tooj ntawm tuaj ua, tus xov tooj ntawm cov neeg ua haujlwm nyob rau hauv ib tug muab hnub, cov neeg, nyob rau hauv Feem ntau, txhua yam uas yuav ntsuas thiab feem xyuam rau txoj zaum kawg tshwm sim.
hom
Lub weighted nruab nrab tus nqi yog correlated nrog lub xam mean, sib tham ua ntej lawm nyob rau hauv no tsab xov xwm. Txawm li cas los, cov thawj nqi, raws li tau hais tias, kuj yuav siv sij hawm mus rau hauv tus account tus luj ntawm txhua tooj siv nyob rau hauv cov lus teb. Nyob rau hauv tas li ntawd tseem muaj weighted geometrical thiab harmonic qhov tseem ceeb.
Muaj lwm nthuav ntau yam siv nyob rau hauv lub series ntawm cov zauv. Nws yog hais txog qhov hnyav mus nruab nrab. Ntawd tiam sis yog xam rau lub hauv paus ntawd. Nyob rau hauv tas li ntawd mus rau qhov tseem ceeb rau lawv tus kheej thiab lawv cov luj nws kuj yog siv zaus. Thiab nyob rau hauv lub xam ntawm qhov nruab nrab nqi ntawm tej taw tes nyob rau hauv lub sij hawm nws yog tseem coj mus rau hauv tus account tus nqi rau lub yav dhau los lub sij hawm Team sib.
Lub xam ntawm cov qhov tseem ceeb yog tsis nyuab heev, tab sis nyob rau hauv kev xyaum nws yog feem ntau tsuas yog siv pa weighted nruab nrab.
Cov kev ntawm xam
Nyob rau hauv ib tug muaj hnub nyoog ntawm rampant computerization yog tsis tsim nyog los xam ib weighted nruab nrab manually. Txawm li cas los, nws yog ib pab tau kom paub tias cov mis rau xam hais tias nws twb tau mus xyuas thiab kho cov kev tshwm sim raws li xav tau.
Qhov yooj yim txoj kev yuav mus xav txog qhov muab xam los ntawm ib tug piv txwv.
| Nyiaj ua hauj lwm (thous. Rubles). | Cov nab npawb ntawm cov neeg ua hauj lwm (cov neeg). |
| 32 | 20 |
| 33 | 35 |
| 34 | 14 |
| 40 | 6 |
Nws yog tsim nyog los nrhiav tau tawm yog dab tsi yog qhov nruab nrab nyiaj hli hauv cov nroj tsuag nrog kev xav txog cov xov tooj ntawm cov neeg ua haujlwm tau txais ib co nyiaj khwv tau los.
Yog li, lub weighted nruab nrab muab xam yog tau siv cov mis no:
x = (ib tug 1 * w 1 + 2 * w 2 + ... + ib n * w n ) / (w 1 + w 2 + ... + w n)
Piv txwv li, lub xam yuav tsum:
x = (32 * 20 + 33 * 35 + 34 * 14 + 40 * 6) / (20 + 35 + 14 + 6) = (640 + 1155 + 476 + 240) / 75 = 33.48
Obviously, muaj ntau nyuaj nyob rau hauv thiaj li yuav manually xam weighted nruab nrab. Cov mis rau xam cov nqi no nyob rau hauv ib qho ntawm feem nrov daim ntaub ntawv ntawm cov qauv - Excel - zoo li ib tug muaj nuj nqi SUMPRODUCT (a series ntawm tus xov tooj, ib co ntawm cov tes taw hnyav li) / sum (xov tooj ntawm cov teev).
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