Imodi kanye ne-Median

Imodi kanye neMedian: Incazelo kanye nokusetshenziswa kuzibalo

Izibalo ziyigatsha lezibalo elibhekene nokuqoqwa, ukuhlaziywa, ukuchazwa, ukwethula, kanye nokuhlela idatha. Kuzibalo, kusetshenziswa izindlela ezahlukene zokuhlakazeka kanye nezindlela eziyinhloko zokulinganisa idatha ukuze zihlaziywe futhi ziqondwe. Ezimbili eziyisisekelo nezibalulekile yimodi kanye ne-median. Lesi sihloko sizochaza ukuthi imodi kanye ne-median ziyini, ukuthi zibalwa kanjani, kanye nokubaluleka kwazo ekuhlaziyweni kwedatha.

Iyini iModi?

Imodi yinani elivame kakhulu kusethi yedatha. Ngobuchwepheshe, imodi yinani noma isigaba esinemvamisa ephezulu kakhulu ekusabalalisweni kwedatha. Amamodi angasetshenziswa kudatha yesigaba, ye-ordinal, ye-interval, kanye neyesilinganiso. Ngokungafani ne-mean kanye ne-median, imodi ayihlukile ngaso sonke isikhathi. Kwezinye izimo, idatha ingaba nemodi engaphezu kweyodwa (ye-bimodal noma ye-multimodal) noma ingabi nayo nhlobo imodi uma wonke amanani eyenzeka ngemvamisa efanayo.

Indlela Yokubala Imodi

Ukubala imodi kulula kakhulu. Udinga nje ukuhlonza inani elivela kaningi kudatha. Nasi isibonelo esilula:

Ake sithi sinesethi yedatha elandelayo: 3, 7, 5, 9, 7, 6, 7, 2.

Kuleli sethi yedatha, inani elingu-7 livela kathathu, ngaphezu kwanoma yiliphi elinye inani. Ngakho-ke, imodi yaleli sethi yedatha ingu-7.

Ukuze uthole idatha eyinkimbinkimbi kakhulu noma idatha yezigaba, kungadingeka uhlele amaza enani ngalinye ukuze uwabone kalula.

Isibonelo Sedatha Yesigaba:
Kwenziwa ucwaningo ukuze kutholakale imibala yemoto ethandwa kakhulu: Obomvu, Oluhlaza okwesibhakabhaka, Omnyama, Omhlophe, Omnyama, Oluhlaza okwesibhakabhaka, Oluhlaza okwesibhakabhaka.

Kulesi sibonelo:
– Ubomvu buvela kanye kuphela
- Okuluhlaza okwesibhakabhaka kuvela izikhathi ezintathu
– Umnyama uvela izikhathi ezimbili
– Okumhlophe kuvela kanye kuphela

Imodi yale datha iluhlaza okwesibhakabhaka, ngoba lo umbala ovame ukukhulunywa ngawo (izikhathi ezintathu).

Uma Imodi Ingeyona Eyingqayizivele Noma Ingekho

Kwezinye izimo, idatha ingaba nemodi engaphezu kweyodwa noma ingabi nayo nhlobo. Isibonelo:

I-Bimodal noma i-Multimodal:
Isethi yedatha: 4, 4, 5, 5, 6, 6, 7
Kulesi sibonelo, amanani angu-4, 5, kanye no-6 ngalinye avela kabili. Ngakho-ke, leli qoqo ledatha liyi-multimodal enezindlela ezingu-4, 5, kanye no-6.

Ayikho Imodi:
Isethi Yedatha: 1, 2, 3, 4, 5
Inani ngalinye livela kanye kuphela, ngakho-ke akukho modi kule sethi yedatha.

Iyini iMedian?

I-median iyinani eliphakathi kusethi yedatha ehleliwe. Ihlukanisa isethi yedatha ibe izingxenye ezimbili ezilinganayo, kanti ingxenye yamanani iwela ngaphansi kwe-median kanti enye ingxenye ingaphezu kwe-median. I-median ivame ukusetshenziswa ngoba ayithintwa yinani elidlulele noma izinto ezingaphandle njenge-mean, ngaleyo ndlela inikeze inkomba engcono yesikhungo sokusatshalaliswa kwedatha lapho idatha inokuphambuka okukhulu.

Indlela Yokubala Okuphakathi

Izinyathelo zokubala i-median yilezi ezilandelayo:

1. Hlela idatha ngokulandelana okukhuphukayo.
2. Uma inani ledatha (N) lingalingani, i-median yinani elisesikhundleni esiphakathi.
3. Uma inani ledatha (N) lilingana, i-median iyisilinganiso samanani amabili aphakathi nendawo.

Isibonelo:

Isethi yedatha eneNombolo Engalingani:
Isethi Yedatha: 3, 7, 5, 9, 6
Hlunga: 3, 5, 6, 7, 9
I-Median: 6 (inani eliphakathi nendawo)

Isethi yedatha enenombolo elinganayo:
Isethi yedatha: 3, 7, 5, 9, 6, 8
Hlunga: 3, 5, 6, 7, 8, 9
Okuphakathi: (6 + 7) / 2 = 6.5

I-Median kudatha yesigaba

Nakuba i-median ivame ukusetshenziswa kakhulu kudatha eqhubekayo noma idatha ye-ordinal, ingasetshenziswa futhi kudatha yezigaba ene-oda elicacile.

Izibonelo Zedatha Yesigaba (Ejwayelekile):
Isilinganiso Se-movie: Kuhle, Kuhle Kakhulu, Kufanelekile, Kuhle Kakhulu, Kuhle
Hlunga ngokwezinga: Kuhle, Kuhle, Kuhle, Kuhle kakhulu, Kuhle kakhulu
Okuphakathi: Kuhle (inani lesithathu eliphakathi)

Amandla Nobuthakathaka Bomphakathi WaseMedian

Enye yezinzuzo eziyinhloko ze-median ukuzwela kwayo ezintweni ezingaphandle. Isibonelo, ake sithi sinesethi yedatha yemali engenayo futhi kufakiwe i-CEO enomholo ophezulu kakhulu. I-median izoqhubeka nokunikeza isithombe esingokoqobo semali engenayo ephakathi kunesilinganiso, esingaphambukiswa amanani aqatha. Kodwa-ke, ububi be-median ukuthi kumasethi edatha amancane, idatha engekho noma enganembile ingathinta kakhulu imiphumela.

Imodi vs Median vs Mean

Kokubili imodi, i-median, kanye ne-mean kuyizilinganiso zokuthambekela okuphakathi ezihlinzeka ngolwazi olubalulekile mayelana nezici zokusatshalaliswa kwedatha.

– Isilinganiso: Isilinganiso sezibalo sayo yonke idatha. Izwela ezintweni ezingaphandle.
– Okumaphakathi: Inani eliphakathi ledatha ehlungiwe. Akuzweli ezintweni ezingaphandle.
– Imodi: Inani elivela njalo. Liwusizo kudatha yezigaba.

Ngayinye inezindlela zayo zokusebenzisa kanye nezithiyo, futhi ngezinye izikhathi isetshenziswa ndawonye ukuze inikeze isithombe esiphelele.

Ukukhetha Usayizi Ofanele

Ukukhetha isilinganiso esifanele sokuthambekela okuphakathi kuncike ohlotsheni lwedatha kanye nenhloso yokuhlaziywa.

– Uma idatha inezinto ezingaphandle noma ingasatshalaliswa ngokuvamile, i-median ingase ifaneleke kakhulu.
– Uma unesithakazelo enanini elivame kakhulu noma esigabeni esivelele, imodi izoba wusizo kakhulu.
– Uma idatha ivame ukusatshalaliswa ngaphandle kwezinto ezingaphandle, isilinganiso singanikeza isethulo esihle.

Isibonelo, ekuhlaziyweni kwemakethe yezakhiwo, i-median ivame ukusetshenziswa ukuchaza amanani ezindlu ngenxa yokwehluka okukhulu kwentengo. Ezinhlolovo zombono womphakathi, imodi ingasetshenziswa ukuhlonza ukukhetha okuthandwa kakhulu.

Isiphetho

Imodi kanye ne-median kuyizindlela ezimbili eziwusizo kakhulu zokulinganisa ukuthambekela okuphakathi kwezibalo. Nakuba zinikeza ulwazi oluhlukile, zingenza lula futhi zifingqe izici eziyinhloko zesethi yedatha, zisize ekwenzeni izinqumo ngokusekelwe kuleyo datha. Ukuba khona kwazo, kanye ne-mean, kuvumela abacwaningi nabahlaziyi ukuthola isithombe esiphelele sedatha abayifundayo.

Shiya amazwana