Maperesenti eData reBoka: Kunzwisisa uye Kushandisa
Kugadziriswa kwedata rehuwandu hwehuwandu chinhu chakakosha pakuongorora data, chinoshandiswa zvakanyanya muzvikamu zvakasiyana-siyana zvakaita sehupfumi, mari, hutano, uye sainzi yemagariro evanhu. Imwe pfungwa inowanzoshandiswa muhuwandu hwe ...
Kunzwisisa Maperesenti
Zvichitaurwa zviri nyore, percentile inzira yekuyera inoshandiswa muhuwandu hwehuwandu hwehuwandu mu data set. Semuenzaniso, 25th percentile (P25) ndiyo kukosha kuri pasi payo 25% yedata inodonha. Nemamwe mashoko, 75% yedata ichadonha pamusoro pemutengo uyu. Saizvozvowo, 50th percentile (median) uye 75th percentile zvinoshandiswa.
Mapercentiles akasiyana nemaquartiles nemadeciles chete muhuwandu hwezvikamu zvavanogadzira: maquartiles anokamura data kuita zvikamu zvina, madeciles kuita zvikamu gumi, uye mapercentiles kuita zvikamu zana.
Ruzivo rweBoka
Data rakakamurwa, kana kuti data rakakamurwa, idata rakakamurwa kuita zvikamu kana makirasi. Mudata rakakamurwa, kukosha kwedata hakuchaonekwi sega, asi semapoka. Izvi zvinowanzoitwa nedata renhamba rine nhamba dzakawanda dzekucherechedza kuti zvive nyore kududzira nekuongorora. Mienzaniso yedata rakakamurwa inosanganisira mazera, mari inowanikwa, kana mamakisi ebvunzo akakamurwa kuita zvikamu zvakati.
Kuverenga Maperesenti muData Rakaunganidzwa
Kuverenga mapercentiles padata rakabatanidzwa kunoda fomura yakasiyana neya data risina kuunganidzwa nekuti data rakarongwa mukugoverwa kwemafrequencies. Matanho anotevera anotsanangura maitiro ekuverenga:
1. Kuziva Miganhu yeKirasi uye Kuwanda Kwakawanda
Danho rekutanga nderekuona miganhu yekirasi uye ma cumulative frequencies. Ma class boundaries ndiwo manhamba anotsanangura nguva yega yega (class) mukugoverwa kwedata. Ma cumulative frequencies ndiwo huwandu hwema frequencies ekirasi yega yega, kubva kukirasi yekutanga kusvika kukirasi chaiyo.
2. Kuziva Nzvimbo yePencentile
Kuti tiwane nzvimbo yepercentile inodiwa \( P_k \), tinofanira kutanga taziva nzvimbo yekirasi iyoyo yepercentile. Percentile yekth inoreva kukosha kuri pasi peiyo \( k% \) yedata iri.
Nzvimbo ye kth percentile ndeiyi: \( \frac{k}{100} \times N \)
apo \( N \) ndiyo nhamba yese yezvakaonekwa.
3. Kuziva Makirasi ePasendi
Tichishandisa nzvimbo dzakaverengerwa dze percentile, tinogona kuona nguva kana kirasi ine izvozvo. Izvi zvinoitwa nekutarisa zvishoma nezvishoma ma cumulative frequencies emakirasi kusvika tawana kirasi panowanikwa percentile.
4. Kuverenga Maperesenti
Kana kirasi yepercentile yawanikwa, tinogona kushandisa fomura inotevera kuverenga kukosha kwepercentile:
\[ P_k = L + \left( \frac{\frac{k}{100} \times N – F}{f} \right) \times i \]
di mana:
– \( P_k \) = chikamu che kth percentile chinotsvakwa
– \( L \) = muganho wakaderera wekirasi yepercentile
– \( F \) = kuwanda kwehuwandu hwehuwandu husati hwasvika pachikamu chepercentile
– \( f \) = frequency yekirasi yepercentile
– \( i \) = nguva yekirasi
Muenzaniso weKuverenga kwePesenti
Ngatitarisei muenzaniso chaiwo kuti zvive nyore kunzwisisa:
Ngatitii tine data remapoinzi ebvunzo evadzidzi zana rakaiswa mumapoka anotevera:
| Nguva Yekuverengera | Kuwanda Kwezvibodzwa |
|——————|———–|
| 0 – 10 | 5 |
| 10 – 20 | 10 |
| 20 – 30 | 20 |
| 30 – 40 | 25 |
| 40 – 50 | 20 |
| 50 – 60 | 10 |
| 60 – 70 | 5 |
Danho rekutanga nderekuverenga huwandu hwehuwandu hwehuwandu:
| Nguva Yekuverengera | Kuwanda Kwezvibodzwa | Kuwanda Kwezvibodzwa |
|——————|————–|———————|
| 0 – 10 | 5 | 5 |
| 10 – 20 | 10 | 15 |
| 20 – 30 | 20 | 35 |
| 30 – 40 | 25 | 60 |
| 40 – 50 | 20 | 80 |
| 50 – 60 | 10 | 90 |
| 60 – 70 | 5 | 95 |
Ngatitii tinoda kuwana chikamu che75th percentile (P75):
1. Sarudza nzvimbo yeP75:
\[ \text{Position P75} = \frac{75}{100} \kawa 100 = 75 \]
2. Tsvaga kirasi ine nzvimbo 75. Kubva patafura yehuwandu hwema frequency, tinoona kuti nzvimbo 75 iri pakati pema score interval 40-50.
3. Verenga kukosha kweP75 uchishandisa fomura yakapihwa:
\[
P_{75} = 40 + \kuruboshwe( \frac{75 – 60}{20} \kurudyi) \kawa 10
\]
\[
P_{75} = 40 + \kuruboshwe( \frac{15}{20} \kurudyi) \kawa 10
\]
\[
P_{75} = 40 + 7.5 = 47.5
\]
Saka, chibodzwa chinosvika pa75% yakaderera mukugoverwa kwedata uku i47,5.
Kushandiswa kweMaperesenti muData reBoka
Kushandiswa kwemapercentiles mudata reboka kunobatsira zvikuru mumamiriro akasiyana-siyana ekuongorora data, kusanganisira:
1. Kuongorora Kubudirira Kwevadzidzi: Mudzidzo, ma percentile anoshandiswa kuongorora kuti mudzidzi anoita sei zvichienzaniswa nevamwe vadzidzi. Nekuziva kuti ndeapi percentile ayo mudzidzi anowana, tinogona kunzwisisa chinzvimbo chavo muboka.
2. Hutano: Mukurapa, ma percentile anowanzo shandiswa kuyera kukura kwevana. Semuenzaniso, chiremba anogona kuona kana kureba kana huremu hwemwana huri pa 70th percentile zvichienzaniswa nehuwandu hwevana vezera rimwe chete.
3. Hupfumi neMari Inowanikwa: Maperesenti anoshandiswa kunzwisisa kugoverwa kwemari inowanikwa nepfuma mukati mevanhu vakapihwa. Izvi zvinobatsira mukuongorora kusaenzana nehurombo, pamwe nekuronga hurongwa hwehupfumi.
4. Pfungwa dzepfungwa nemagariro evanhu: Maperesenti anobatsira mukugoverwa kwemapoinzi ebvunzo dzepfungwa, zvichiita kuti vanachiremba vepfungwa vagone kuona kana vakapindura vari muchikamu cheavhareji, pasi peavhareji, kana kupfuura avhareji maererano nehunyanzvi hwavo.
5. Bhizinesi neKushambadzira: Mukuongorora musika, ma percentiles anoshandiswa kupatsanura vatengi zvichienderana nemari inowanikwa, mari inoshandiswa, kana mamwe maitiro evatengi kuti vatungamire nzira dzekushambadzira dzinoshanda zvakanyanya.
Mhedziso
Mapercentile chishandiso chinobatsira zvikuru muhuwandu hwehuwandu hwehuwandu hwehuwandu mukati mekugoverwa kwedata. Kunyange zvazvo kuverenga kwavo muchikamu chedata rakarongwa kwakaoma kupfuura kune data rimwe chete, kunogona kuitwa nenzira yakarongeka. Kugona kududzira nekuverenga mapercentile mudata rakarongwa kunovhura mikana yakawanda yekuongorora data zvakadzama uye kunobatsira munzvimbo dzakasiyana-siyana dzinoshanda.
Nekunzwisisa kwakakodzera, ma percentiles anogona kuva chishandiso chine simba kwazvo chekurerutsa kuoma kwedata, zvichibvumira vaongorori nevaongorori kuita sarudzo dziri nani zvichibva paruzivo rwavanowana.
