Mafunso a Zitsanzo ndi Kukambirana za Miyezo ya Kukhazikitsa Pakati
Miyeso ya chizolowezi chapakati ndi mfundo zofunika kwambiri mu ziwerengero ndi masamu, zomwe zimagwiritsidwa ntchito kudziwa mtengo wapakati kapena mfundo yapakati pa deta. Miyeso yomwe imagwiritsidwa ntchito kwambiri ya chizolowezi chapakati ndi yapakati, yapakatikati, ndi yapakatikati. Nkhaniyi ifufuza mozama miyeso iliyonseyi, kupereka zitsanzo ndi zokambirana za lingaliro lililonse.
1. Wapakati (Wapakati)
Avereji ndi muyeso wa chizolowezi chapakati chomwe chimawerengedwa powonjezera ma values onse mu seti ya data ndikugawa ndi chiwerengero cha ma data point. Fomula ya avereji ndi iyi:
\[ \text{Mean} (\bar{x}) = \frac{\sum x_i}{n} \]
kumene \( \sum x_i \) ndi chiwerengero cha deta yonse, ndipo \( n \) ndi chiwerengero cha deta.
Funso la Chitsanzo Chaching'ono:
Popeza deta iyi ndi iyi: 5, 8, 12, 15, ndi 20. Werengani avareji ya deta.
Kukambirana:
1. Onjezani mfundo zonse za deta:
\[ 5 + 8 + 12 + 15 + 20 = 60 \]
2. Werengani chiwerengero cha deta:
\[ n = 5 \]
3. Werengerani avareji pogwiritsa ntchito fomula iyi:
\[ \text{Mean} (\bar{x}) = \frac{60}{5} = 12 \]
Kotero, avereji ya deta ndi 12.
2. Wapakati
Apakatikati ndi mtengo wapakati mu seti ya deta yosankhidwa. Ngati chiwerengero cha mfundo za data ndi chosamvetseka, apakatikati ndi mtengo wapakati. Ngati chiwerengero cha mfundo za data ndi chofanana, apakatikati ndi avareji ya mitengo iwiri yapakati.
Funso la Chitsanzo cha Pakati:
Popeza deta iyi ndi iyi: 7, 3, 9, 5, ndi 11. Werengani apakati a deta.
Kukambirana:
1. Sanjani deta kuyambira yaying'ono mpaka yayikulu:
\[ 3, 5, 7, 9, 11 \]
2. Dziwani malo apakati:
Popeza chiwerengero cha deta ndi 5 (zosamvetseka), wapakati ndiye deta yachitatu:
\[ 3, 5, \textbf{7}, 9, 11 \]
Kotero, apakati pa deta ndi 7.
Chitsanzo cha Vuto la Pakati pa Chiwerengero Chofanana cha Deta:
Popeza deta iyi ndi iyi: 4, 8, 1, ndi 6. Werengani apakati pa deta.
Kukambirana:
1. Sanjani deta kuyambira yaying'ono mpaka yayikulu:
\[ 1, 4, 6, 8 \]
2. Dziwani deta ziwiri zapakati ndikuwerengera avareji:
Deta yapakati ndi deta yachiwiri ndi yachitatu:
\[ 4 \malemba{ ndi } 6 \]
Werengerani avareji:
\[ \text{Median} = \frac{4 + 6}{2} = 5 \]
Kotero, apakati pa deta ndi 5.
3. Njira
Mawonekedwe ndi mtengo womwe umapezeka kawirikawiri mu seti ya deta. Deta ikhoza kukhala ndi mawonekedwe amodzi (unimodal), mawonekedwe awiri (bimodal), kapena kuposerapo (multimodal), kapena osapezeka konse ngati miyezo yonse imachitika ndi ma frequency ofanana.
Chitsanzo cha Mafunso Okhudza Njira:
Popeza deta iyi ndi iyi: 2, 4, 4, 6, 7, 8, 4, ndi 9. Werengani momwe detayo yagwiritsidwira ntchito.
Kukambirana:
1. Werengerani kuchuluka kwa kupezeka kwa mtengo uliwonse:
\[ 2 (1), 4 (3), 6 (1), 7 (1), 8 (1), 9 (1) \]
2. Dziwani mtengo womwe umachitika pafupipafupi kwambiri:
Njirayi ndi 4 chifukwa imawonekera katatu.
Kotero, njira ya deta ndi 4.
Chitsanzo cha Vuto la Bimodal:
Popeza deta iyi ndi iyi: 1, 2, 2, 3, 3, 4. Werengani momwe detayo yagwiritsidwira ntchito.
Kukambirana:
1. Werengerani kuchuluka kwa kupezeka kwa mtengo uliwonse:
\[ 1 (1), 2 (2), 3 (2), 4 (1) \]
2. Dziwani mtengo womwe umachitika pafupipafupi kwambiri:
Ma modes ndi 2 ndi 3 chifukwa chilichonse chimawonekera kawiri.
Kotero, deta ndi ya bimodal yokhala ndi njira 2 ndi 3.
Kuyerekeza kwa Miyezo Yogwirizanitsa
Muyeso uliwonse wa centralization uli ndi ubwino ndi kuipa kwake.
Nenani
– Ubwino: Imagwiritsa ntchito mfundo zonse za deta, kotero imayimira kugawa deta kofanana.
– Zoyipa: Zimakhudzidwa ndi zinthu zokwera kwambiri (zosafanana) komanso kugawa kosagwirizana.
Zamkatikati
– Ubwino: Sichikhudzidwa ndi mfundo zazikulu ndipo chimayimira bwino deta yosagwirizana kapena kugawa kosakhazikika.
– Zoyipa: Sagwiritsa ntchito chidziwitso kuchokera ku mfundo zonse za deta.
mafashoni
- Ubwino: Woyimira deta yamagulu ndi kugawa komwe kumapezeka kawirikawiri.
– Zoyipa: Pakhoza kukhala palibe kapena njira zingapo; sichifotokoza momwe deta imagawidwira ngati pali zinthu zambiri.
Mapeto
Kuyeza kwa chizolowezi chapakati ndi zida zofunika kwambiri pakusanthula deta ya ziwerengero ndipo kumapereka chidziwitso chakuya cha makhalidwe a deta. Avereji imapereka chithunzithunzi cha avareji ya deta yonse, apakati amasonyeza mtengo wapakati ndipo ndi wothandiza pakakhala zinthu zina zosafunikira, pomwe mawonekedwe amasonyeza mtengo womwe umapezeka kawirikawiri.
Kumvetsetsa momwe mungawerengere ndikugwiritsa ntchito mean, median, ndi mode ndi luso lofunikira kwambiri pa ziwerengero. Mwa kuchita ndi zitsanzo ndi zokambirana, titha kudziwa bwino mfundo izi ndikuzigwiritsa ntchito m'njira zosiyanasiyana zosanthula deta.
