Interquartile Range: Kuyera Kuchinja-chinja muData
Pendauluan
MaDatasets ndiwo hwaro hwekuongorora nhamba muzvikamu zvakasiyana-siyana zvekudzidza. Kunzwisisa kugoverwa kwedata kunosanganisira kunzwisisa kwete chete pakati kana pakati pedata, asiwo kupararira kwaro kana kusiyana kwaro. Imwe nzira yekuyera kusiyana kwedata ndeyekushandisa interquartile range (IQR). Interquartile range chishandiso chekuverenga chinopa ruzivo rwekugoverwa kwepakati pehuwandu hwedata, husina kukanganiswa ne outliers kana extreme values. Chinyorwa chino chichakurukura interquartile range, maitiro ekuiverenga, uye mashandisirwo ayo mukuongorora data.
Tsanangudzo yeInterquartile Range
Interquartile Range chiyero chezviverengero chinoratidza kuti kugoverwa kwezviyero mu50% yedata rekutanga kuri pakati pekota yekutanga (Q1) nekota yechitatu (Q3). Pamasvomhu, IQR inotsanangurwa se:
\[ \mashoko{IQR} = Q_3 – Q_1 \]
Di mana:
– Q1 kana First Quartile ndiyo kukosha kuri pasi pe25% yedata rakarongeka.
– Q3 kana Third Quartile ndiyo kukosha kuri pasi pe75% yedata rakarongeka.
Nemamwe mashoko, Interquartile Range ndiyo nzvimbo iyo pakati pe50% yedata inowira, zvichiratidza kusiyana kana kupararira kwedata riri muchikamu chino. Nekuti IQR inotarisa pakati pedata, haipindi kune zvinhu zvisingawanikwe, izvo zvinogona kukanganisa zvakanyanya zviyero zvekupararira zvakaita sehuwandu hwese kana kutsauka kwakajairwa.
Kuverenga Interquartile Range
Kuverenga IQR kunogona kuitwa kuburikidza nematanho akati wandei akarongeka. Heano matanho akajairika ekuverenga IQR:
Danho 1: Ronga Data
Danho rekutanga nderekuronga data kubva padiki kusvika pakuru. Kuronga data kwakakosha nekuti makota anoverengerwa zvichienderana nenzvimbo yedata munhevedzano.
Muenzaniso:
Ngatitii tine seti yedata inotevera:
\[ 7, 8, 5, 3, 9, 12, 15, 11, 18, 20 \]
Mushure mekuronga:
\[ 3, 5, 7, 8, 9, 11, 12, 15, 18, 20 \]
Danho rechipiri: Tsvaga Pakati (Mubvunzo wechipiri)
Chikamu chepakati kana chechipiri (Q2) ndicho chiyero chepakati mudata rakarongeka. Kana huwandu hwese hwedata husina kurongeka, chikamu chepakati ndicho chinhu chepakati. Kana huwandu hwese hwedata hwakafanana, chikamu chepakati ndicho avhareji yezvinhu zviviri zvepakati.
Mumuenzaniso wedu:
Nhamba yedata = 10 (nhamba yakaenzana), wobva:
\[ Mubvunzo wechipiri = \frac{9 + 11}{2} = 10 \]
Danho rechitatu: Tsvaga Chikamu Chekutanga (Q1) neChikamu Chechitatu (Q3)
Q1 ndiyo muyero wepakati wehafu yekutanga yedata, uye Q3 ndiyo muyero wepakati wehafu yechipiri yedata.
Ruzivo rwehafu yekutanga (rweQ1):
\[ 3, 5, 7, 8, 9 \]
Pakati pehafu yekutanga ndeiyi:
\[Mubvunzo 1 = 7 \]
Chikamu chechipiri chedata (cheQ3):
\[ 11, 12, 15, 18, 20 \]
Pakati pehafu yechipiri ndeiyi:
\[Mubvunzo 3 = 15 \]
Danho rechina: Verenga IQR
Nekuzivikanwa kweQ1 neQ3, IQR inogona kuverengerwa nekubvisa Q1 kubva kuQ3:
\[ IQR = Q3 – Q1 = 15 – 7 = 8 \]
Saka, IQR yedata iri i8.
Kukosha kweInterquartile Range
Inter Quartile Range ine zvakanakira zvakawanda zvinoita kuti ive yakakosha mukuongorora data:
1. Haigoni kubatwa nezvinhu zvisingawanzoitiki:
IQR haikanganisirwi nehukuru hwakanyanya mudhatabhesi, nokudaro ichipa mufananidzo wakarurama wekusiyana kwedata repakati.
2. Ziva Zvisingakoshi:
IQR inoshandiswa kuona zvinhu zvisingawanzoitiki. Data rinowira pasi pe \( Q1 – 1.5 \times IQR \) kana kupfuura \( Q3 + 1.5 \times IQR \) rinowanzoonekwa serisingawanzoitiki.
3. Mashandisirwo muBhokisi Plot:
IQR chinhu chakakosha chebhokisi remifananidzo, chishandiso chekuona chinoratidza kugoverwa kwedata zvichibva panhamba shanu dzepfupiso: minimum, Q1, median, Q3, uye maximum.
4. Kuenzanisa Datasets:
IQR inogona kushandiswa kuenzanisa kusiyana pakati pemapoka akasiyana kana seti dzedata. Kana IQR yakakura, kusiyana kwedata riri muboka iroro kunowedzera.
5. Zviri Nyore Uye Zviri Nyore Kunzwisisa:
Pfungwa nekuverenga IQR zviri nyore kunzwisisa, zvichiita kuti zvibatsire vateereri vakasiyana-siyana, kubva kuvaongorori kusvika kune vanogadzira mitemo.
Mashandisirwo eInterquartile Range muMinda Yakasiyana-siyana
1. Zvehupfumi neBhizinesi
Muhupfumi nebhizinesi, IQR inogona kushandiswa kuongorora kugoverwa kwemari inowanikwa, mitengo yemasheya, kana mashandiro ekambani. Semuenzaniso, kuti tione kana kugoverwa kwemari inowanikwa mudunhu kunowanzo fanana kana kuti kwakasiyana-siyana, tinogona kushandisa IQR.
2. Dzidzo
Mudzidzo, IQR inogona kushandiswa kuongorora kugoverwa kwemapoinzi evadzidzi pabvunzo. Izvi zvinogona kubatsira varairidzi kunzwisisa kugoverwa kwemapoinzi evadzidzi uye kuziva vadzidzi vanoda rumwe rutsigiro.
3. Hutano
Mukurapa, IQR inogona kushandiswa kunzwisisa kupararira kwezvikamu zvakasiyana-siyana zvehutano, zvakaita seBP, cholesterol, kana body mass index (BMI). Kushandisa IQR kunogona kubatsira vaongorori kuona varwere vane hunhu husina kujairika.
4. Uinjiniya neKugadzira
Muinjiniya nekugadzira, IQR inoshandiswa kuyera kusiyana kwemaitiro ekugadzira. Izvi zvakakosha pakuona nekuderedza kusiyana kunogona kukanganisa kunaka kwechigadzirwa.
Mhedziso
Interquartile Range (IQR) chishandiso chinobatsira zvikuru pakuyera kusiyana kwedata, kunyanya nekuda kwekugona kwayo kufuratira zvinhu zvisingawanzoitiki. Kunzwisisa nekushandisa IQR kunogona kuita kuti ongororo yedata ive yakarurama uye ine ruzivo. Ingave iri muhupfumi, dzidzo, hutano, kana mainjiniya, IQR inoita basa rakakosha mukupa ruzivo nezvekugoverwa kwedata.
Kuverenga IQR inzira iri nyore uye inopa ruzivo rwakawanda runobatsira nezve data. Saka, kunzwisisa pfungwa nekushandiswa kweIQR hunyanzvi hunokosha kune chero ani zvake ari mukuongorora data.
Kuburikidza nechinyorwa chino, tinotarisira kuti vaverengi havazongonzwisisi chete maverengerwo eIQR asiwo vachanzwisisa kukosha kwayo mukuongorora data. Nekufambira mberi kwetekinoroji uye huwandu hwedata hunoda kuongororwa huri kuwedzera, zvishandiso zvehuwandu zvakaita seIQR zviri kuramba zvichikosha uye zvichiwedzera kukosha.
