Zitsanzo za Mafunso Okhudza Kugwiritsa Ntchito Miyezo ya Centralization
Miyeso ya chizolowezi chapakati ndi mfundo zofunika kwambiri mu ziwerengero, zomwe zimagwiritsidwa ntchito kumvetsetsa kufalikira konse kwa deta. Miyeso yodziwika bwino ya chizolowezi chapakati ndi yapakati, yapakati, ndi ya mode. M'nkhaniyi, tikambirana za kugwiritsa ntchito miyeso ya chizolowezi chapakati kudzera mu zitsanzo zingapo kuti tipereke kumvetsetsa kwakuya kwa mutuwo.
Chitsanzo Funso 1: Wapakati (Wapakati)
Funso:
Gulu la ophunzira linapeza zigoli zotsatirazi pa mayeso a masamu: 56, 72, 85, 91, 68, 90, 70, 75, 80, ndi 60. Werengani zigoli zapakati pa mayesowo.
Kukambirana:
Avereji (avereji) ikhoza kuwerengedwa powonjezera mfundo zonse kenako ndikugawa chiwerengero chonsecho ndi chiwerengero cha deta.
Langkah-langkah:
1. Onjezani mfundo zonse.
\( 56 + 72 + 85 + 91 + 68 + 90 + 70 + 75 + 80 + 60 = 747 \)
2. Werengani kuchuluka kwa deta (chiwerengero cha ophunzira).
Pali ma values 10, kotero chiwerengero cha deta = 10.
3. Werengerani avareji.
\( \text{Mean} = \frac{747}{10} = 74.7 \)
Kotero, chigoli chapakati pa mayeso a masamu ndi 74.7.
Chitsanzo Funso 2: Wapakati
Funso:
Gulu la ophunzira linalemba nthawi (m'masekondi) yofunikira kuti amalize ntchito zotsatirazi: 22, 26, 20, 25, 24, 21, ndi 23. Dziwani nthawi yomaliza ntchitozi.
Kukambirana:
Apakatikati ndi mtengo wapakati mu seti ya deta yosankhidwa. Ngati chiwerengero cha mfundo za data ndi chosamvetseka, apakatikati ndi mtengo wapakati weniweni. Ngati chiwerengero cha mfundo za data ndi chofanana, apakatikati ndi avareji ya mitengo iwiri yapakati.
Langkah-langkah:
1. Sanjani deta kuyambira yaying'ono mpaka yayikulu:
20, 21, 22, 23, 24, 25, 26
2. Dziwani wapakati.
Popeza chiwerengero cha deta ndi chosamvetseka (7), apakati ndiye mtengo wachitatu mu ndondomekoyi.
Wapakati = 23
Kotero, nthawi yomaliza ntchito ndi masekondi 23.
Chitsanzo Funso 3: Njira
Funso:
Gulu la ophunzira linalandira zigoli zotsatirazi pa mayeso: 75, 80, 85, 75, 90, 80, 85, 85, 75, ndi 80. Dziwani momwe deta ya mayeso imagwirira ntchito.
Kukambirana:
Mawonekedwe ndi mtengo womwe umawonekera kwambiri mu data.
Langkah-langkah:
1. Werengani kuchuluka kwa zomwe zimachitika pa mtengo uliwonse.
- 75 amawonekera katatu
- 80 amawonekera katatu
- 85 amawonekera katatu
- 90 amawonekera katatu
2. Dziwani mtengo womwe umawonekera kawirikawiri.
Popeza 75, 80, ndi 85 iliyonse imawonekera katatu, pali njira zitatu mu deta iyi.
Kotero, njira ya deta ya mayeso ndi 75, 80, ndi 85.
Chitsanzo Funso 4: Kuphatikiza kwa Miyeso ya Centralization
Funso:
Kuchokera ku deta yotsatirayi yokhudza ndalama zomwe amapeza pamwezi (mu chikwi cha rupiah) cha antchito 10: 4500, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, ndi 5500, werengani avareji, apakatikati, ndi njira ya ndalama zomwe amapeza.
Kukambirana:
Masitepe owerengera avareji:
1. Onjezani mfundo zonse.
\( 4500 + 4700 + 4800 + 4900 + 5000 + 5100 + 5200 + 5300 + 5400 + 5500 = 50400 \)
2. Werengani kuchuluka kwa deta.
Pali ndalama 10, kotero chiwerengero cha deta = 10.
3. Werengerani avareji.
\( \text{Mean} = \frac{50400}{10} = 5040 \)
Kotero, ndalama zapakati pamwezi ndi 5040 rupiah.
Masitepe owerengera apakati:
1. Deta yasankhidwa, choncho tengani mfundo ziwiri zapakati.
Deta yapakati ndi ndalama za 5 ndi 6: 5000 ndi 5100
2. Werengerani apakati ngati avareji ya mitengo iwiri yapakati.
\( \text{Median} = \frac{5000 + 5100}{2} = 5050 \)
Kotero, ndalama zapakati pamwezi ndi 5050 rupiah.
Masitepe owerengera njira:
1. Unikani ngati pali mfundo zilizonse zomwe zimawonekera pafupipafupi.
Palibe phindu lomwe limawonekera kawirikawiri kuposa lina lililonse.
Kotero, palibe njira yopezera deta ya ndalama.
Chitsanzo Funso 5: Kugwiritsa Ntchito mu Kugawa Kosafanana
Funso:
Gulu la deta ya ndalama zomwe zimagwiritsidwa ntchito tsiku ndi tsiku (mu chikwi cha rupiah) kwa ophunzira 9 ndi: 50, 52, 54, 55, 55, 56, 100, 101, ndi 102. Werengani avareji, apakati, ndikukambirana kuti ndi iti yomwe ikuyimira bwino deta iyi.
Kukambirana:
Masitepe owerengera avareji:
1. Onjezani mfundo zonse.
\( 50 + 52 + 54 + 55 + 55 + 56 + 100 + 101 + 102 = 625 \)
2. Werengani kuchuluka kwa deta.
Pali ma values 9, kotero chiwerengero cha deta = 9.
3. Werengerani avareji.
\( \text{Mean} = \frac{625}{9} \pafupifupi 69.44 \)
Choncho, ndalama zomwe zimagwiritsidwa ntchito tsiku lililonse ndi pafupifupi 69.44 rupiah.
Masitepe owerengera apakati:
1. Sankhani deta ndikupeza mtengo wapakati:
Dongosolo: 50, 52, 54, 55, 55, 56, 100, 101, 102
2. Popeza chiwerengero cha deta ndi chosamvetseka, apakati ndiye mtengo wapakati.
Wapakati = Mtengo wachisanu = 55
Choncho, ndalama zapakati pa tsiku ndi tsiku ndi 55 rupiah.
Kukambirana:
Mu deta iyi, pali mitengo iwiri (100, 101, ndi 102) yomwe ndi yokwera kwambiri kuposa ina. Izi zimakweza apakati mmwamba ndipo sizingaimire bwino deta yambiri. Apakati amakhalabe 55 rupiah, zomwe zimayimira ndalama zambiri zomwe ophunzira amagwiritsa ntchito.
Mapeto
Kudzera mu zitsanzo zomwe zili pamwambapa, taphunzira momwe tingawerengere mean, median, ndi mode kuchokera ku ma data osiyanasiyana. Mean imapereka chithunzithunzi chonse, median imapereka kumvetsetsa bwino deta yomwe ingafanane, ndipo mode ndi yothandiza pozindikira zomwe zimachitika kawirikawiri. Kusankha muyeso woyenera wa central tendency ndikofunikira chifukwa kumatha kusintha kutanthauzira kwa deta ndi zisankho zomwe zimapangidwa kutengera.
