The weighted paavhareji mutengo - chii uye sei inofungidzirwa?

In kudzidza kwauchaita masvomhu vadzidzi Aingoziva pfungwa svomhu zvinorevei. Gare gare mune nhamba uye nevamwe vadzidzi nesayenzi nechiso uye mumwe dzemaitirwe pamusoro Avharenji. Sezvo vave, uye vakasiyana mumwe?

Avhareji tsika: zvinoreva uye misiyano

Hakusi nguva dzose zviratidzi yakarurama inopa kunzwisisa mamiriro ezvinhu. Kuti kuongorora mamwe mamiriro ezvinhu, zvakakodzera dzimwe nguva ongorora guru mari nhamba. Zvino kubatsira Avharenji. Vanobvumira kuongorora mamiriro zvarwo.

Kubva kuchikoro, vakuru vakawanda rangarira kuvapo svomhu maturo. Zviri nyore chaizvo kuverenga - Verenga kutevedzana kwezviitiko N mashoko yakakamurwa n. Ndizvo, kana zvakakodzera kuverenga svomhu zvinoreva munhu kutevedzana tsika 27, 22, 34 uye 37, zvinokosha kusarudza okuti (27 + 22 + 34 + 37) / 4, sezvo 4 tsika inoshandiswa Masvomhu. Panyaya iyi, kubaya mutengo akaenzana 30.

Kazhinji mugore kuchikoro uye kudzidza geometric maturo. The kukarukureta chinokosha ichi inobva dzokubudisa pakati N-hydrochloric mudzi zvibereko N-nhengo. Kana tikatora zvakafanana nhamba: 27, 22, 34 uye 37, dzemaitirwe mugumisiro akaenzana 29.4.

The harmonic zvinoreva muchikoro chesekondari kazhinji haasi nyaya dzokudzidza. Kunyange zvakadaro, rinoshandiswa kazhinji. ukoshi Ndiyo Ivan Kuchin pamusoro svomhu anorevei uye rinowanikwa sezvo quotient pakati N - nhamba tsika uye uwandu _1/1 + _1/2 + ... + 1 / a _n. Kana uchiri tora chete akagadzirwa nhamba nokuda kukarukureta, ivo harmonic zviri 29.6.

Weighted average: unhu

Zvisinei, vose zvakawanda izvi hazvigoni kushandiswa kwose kwose. Somuenzaniso, mune dzimwe Nhamba dzemaitirwe pakati avhareji tsika nezvebasa rinokosha rimwe "uremu" mumwe nhamba kushandiswa Masvomhu. Migumisiro zvakawanda INDICATIVE rinoshanda se kubvumira kuti mamwe mashoko. Ichi boka variables ndiro zita mukuru "weighted avhareji". Havadi kuenda kuchikoro, saka zvinokosha achitarisa zvizere.

Chokutanga, inofanira kukuudza chii chinorehwa nemashoko "uremu" imwe ukoshi. Nzira nyore kutsanangura iri muenzaniso kongiri. Kaviri zuva muchipatara kune muviri tembiricha akayera neimwe murwere. Pakati 100 varwere mumadhipatimendi chipatara siyana 44 achava hwandaiva tembiricha - 36.6 inegumi. Mune mumwe 30 achawedzerwa ukoshi - 37,2, 14 - 38, 7 - 38,5, kubva 3 - 39, uye akasara vaviri - 40 kana iwe utore svomhu rinorevei, ukoshi iri kazhinji muchipatara achava anopfuura 38 madhigirii! Asi vanenge hafu varwere zvachose chakaipa tembiricha. Uye pano zvakanyanya yakarurama kushandisa weighted avhareji kukosha, uye "uremu" neimwe shanduka ndiko nhamba yevanhu. Panyaya iyi, mugumisiro dzemaitirwe achava 37,25 inegumi. Musiyano uri pachena.

Kana ari weighted paavhareji Masvomhu kuti "uremu" angava kuwanda zvinyorwa aita, nhamba vashandi pazuva wakapiwa, vanhu, vakawanda, chinhu kuti kuyerwa uye kufurira okupedzisira mugumisiro.

mhando

The weighted paavhareji ukoshi iri correlated pamwe svomhu Zvichakadaro, kunokurukurwa kwokutanga munyaya ino. Zvisinei, chokutanga kukosha, sezvo yave akati, uyewo inorangarira kurema neimwe nhamba wakashandiswa Masvomhu. Kuwedzera pane weighted geometrical uye harmonic tsika.

Pane mumwe anofadza siyana yaishandiswa munhevedzano nhamba. Zvinonzi pamusoro weighted ichifamba avhareji. Kuti zviri kuitikawo dzaona pahwaro hwayo. Kuwedzera tsika pachavo uye avo uremu rinoshandiswawo maitikiro. Uye dzemaitirwe pakati avhareji ukoshi pane imwe nguva zviri kufungwa kunokosha nokuda yapfuura nguva zvikamu.

The kukarukureta netsika idzi hazvina zvakaoma, asi mune uchidzidzira unowanzoshandiswa chete kwakajairika weighted paavhareji.

Nzira kukarukureta

Munguva kwakapararira computerization haumanikidzwi kuverenga imwe weighted avhareji manually. Zvisinei, zvinobatsira kuti uzive nzira nokuda pakuverenga kuti zvaigoneka kuongorora uye kugadziridza zvabuda sezvinodiwa.

Nyore nzira yaizova kufunga kukarukureta ane muenzaniso chaiwo.

Zvakakosha kuziva chii avhareji muhoro panguva chirimwa panyaya uwandu hwevashandi kugamuchira zvimwe mari.

Saka weighted avhareji kukarukureta unoitwa kushandisa fomura ichi:

x = (a ₁ * W ₁ + ₂ * W _{2 + ... + mumwe N * W N} ) / (w ₁ + W ₂ + ... + W _n)

Somuenzaniso, dzemaitirwe yaizova:

x = (32 20 + 33 35 + 34 14 + 40 6) / (20 + 35 + 14 + 6) = (640 + 1155 + 476 + 240) / 75 = 33.48

Zviri pachena, pane kumbondinetsa kuitira manually kuverenga weighted avhareji. The yemaitiro nokuti pakuverenga kukosha ichi muna rimwe zvikuru nevanhu mafomu ose Masvomhu - Excel - sokunge munhu basa SUMPRODUCT (dzakatevedzana nhamba, boka zviyereso) / kuwanda (nhamba pachikero).