Chitsanzo cha Mafunso Okambirana za Histogram
Histogram ndi chithunzi chosonyeza kufalikira kwa deta ya manambala. Histogram ndi yofanana ndi tchati cha mipiringidzo, koma imayimira deta yomwe yagawidwa m'magulu enaake (mabins) ndipo nthawi zambiri imagwiritsidwa ntchito mu ziwerengero kusonyeza kufalikira kwa mafupipafupi.
Munkhaniyi, tikambirana mafunso ndi zokambirana za ma histogram kuti tiwongolere kumvetsetsa kwathu momwe tingapangire ndikusanthula ma histogram.
Kodi Histogram ndi chiyani?
Histogram ndi chida chowonetsera chomwe chimawonetsa kugawa kwafupipafupi kwa deta. Mitundu ya ma values imagawidwa m'magawo otchedwa "bins," ndipo chiwerengero cha mfundo za data mu bin iliyonse chimawerengedwa kuti chisanthulidwe mosavuta. Izi zimathandiza kumvetsetsa kugawa ndi machitidwe mkati mwa deta.
Pali njira zingapo zofunika popanga histogram:
1. Kusonkhanitsa Deta: Pezani deta yoti ifufuzidwe.
2. Dziwani Mtundu wa Deta: Dziwani mtundu wa deta kuyambira yaying'ono mpaka yayikulu kwambiri.
3. Sankhani Chiwerengero cha Ma Bins: Dziwani kuchuluka kwa ma intervals kapena ma bins omwe mukufuna.
4. Kuwerengera Mafupipafupi: Werengani kuchuluka kwa deta yomwe imagwera mu chidebe chilichonse.
5. Jambulani Histogram: Pangani graph ya mipiringidzo yomwe imayimira kuchuluka kwa deta mu chidebe chilichonse.
Chitsanzo cha Mafunso Okambirana za Histogram
Tiyeni tiyambe ndi zitsanzo zosavuta kenako pang'onopang'ono tiwonjezere kukhala zovuta kwambiri.
Chitsanzo cha Funso 1
Dziwani histogram ya deta yotsatirayi:
``
1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8
``
1. Sonkhanitsani Deta
Deta yomwe ili pamwambapa yaperekedwa.
2. Dziwani Mtundu wa Deta
Deta imayambira pa 1 mpaka 8.
3. Sankhani Chiwerengero cha Ma Bins
Kuti tipeze zinthu zosavuta, tigwiritsa ntchito mabotolo anayi:
– Chidebe choyamba: 1 – 2
– Chidebe chachiwiri: 3 – 4
– Chidebe chachitatu: 5 – 6
– Chidebe chachinayi: 7 – 8
4. Werengani Mafupipafupi
– Chidebe choyamba (1 – 2): Pali deta zitatu (1, 2, 2)
– Chidebe chachiwiri (3 – 4): Pali deta 5 (3, 3, 3, 4, 4)
– Chidebe chachitatu (5 – 6): Pali deta 9 (5, 5, 5, 5, 6, 6, 6, 6, 6)
– Chidebe chachinayi (7 – 8): Pali deta zitatu (7, 7, 8)
5. Jambulani Histogram
– Chidebe cha 1-2: (3)
– Chidebe cha 3-4: (5)
– Chidebe cha 5-6: (9)
– Chidebe cha 7-8: (3)
Chithunzichi chikuwonetsa kugawa kwa deta kutengera mtundu wa bin wosankhidwa.
Chitsanzo cha Funso 2
Dziwani histogram ya deta yotsatirayi ndi manambala osiyanasiyana a mabini:
``
12, 15, 16, 18, 20, 21, 22, 23, 25, 27, 29, 30, 32, 34, 35, 36, 38, 40, 42, 45
``
1. Sonkhanitsani Deta
Deta yomwe ili pamwambapa yaperekedwa.
2. Dziwani Mtundu wa Deta
Deta imayambira pa 12 mpaka 45.
3. Sankhani Chiwerengero cha Ma Bins
Tigwiritsa ntchito mabini 5 nthawi ino:
– Chidebe choyamba: 12 – 17
– Chidebe chachiwiri: 18 – 23
– Chidebe chachitatu: 24 – 29
– Chidebe chachinayi: 30 – 35
– Chidebe chachisanu: 36 – 45
4. Werengani Mafupipafupi
– Chidebe choyamba (12 – 17): Pali deta zitatu (12, 15, 16)
– Chidebe chachiwiri (18 – 23): Pali deta 3 (18, 20, 21, 22, 23)
– Chidebe chachitatu (24 - 29): Pali deta ziwiri (25, 27, 29)
– Chidebe chachinayi (30 - 35): Pali deta 4 (30, 32, 34, 35)
– Chidebe chachisanu (36 – 45): Pali deta 8 (36, 38, 40, 42, 45)
5. Jambulani Histogram
– Chidebe cha 12-17: (3)
– Chidebe cha 18-23: (5)
– Chidebe cha 24-29: (3)
– Chidebe cha 30-35: (4)
– Chidebe cha 36-45: (8)
Chithunzichi chikuwonetsa kugawa deta kosiyana pang'ono ndi chitsanzo chapitacho.
Kukambirana Kowonjezera
Ma histogram amathandiza kuwonetsa kugawa kwa ma frequency, koma nthawi zina zotsatira zake zimatha kusiyana kutengera kuchuluka kwa mabini osankhidwa. Kusintha chiwerengero cha mabini kungapangitse kugawa kuoneka kosiyana, zomwe zingakhudze kutanthauzira kwa deta.
Zinthu Zofunika Pakupanga Histogram
1. Kusankha Chiwerengero cha Ma Bins
Mabinki ochepa kwambiri amatha kubisa tsatanetsatane mu deta, pomwe mabinki ambiri angapangitse histogram kukhala yogawanika kwambiri komanso yovuta kumvetsetsa.
2. Kutanthauzira Deta
Ma histogram amatithandiza kuona njira zogawa, monga ngati deta nthawi zambiri imagawidwa, yokhota kumanzere, kapena yokhota kumanja. Izi ndizothandiza pakufufuza kwina kwa ziwerengero.
3. Mulingo Wofanana
Onetsetsani kuti m'lifupi mwa zitini muli zofanana kuti histogram isasokeretse.
4. Kuchuluka kapena Kuchuluka
Ngati deta ili ndi kukula kosiyana, kungakhale bwino kugwiritsa ntchito kuchuluka kwa deta m'malo mogwiritsa ntchito ma frequency enieni poyerekeza ma data osiyanasiyana.
Mapeto
Ma histogram ndi zida zamphamvu zowonera momwe deta ya manambala imagawidwira. M'nkhaniyi, tafotokoza njira zoyambira zopangira histogram ndipo tawona zitsanzo za mavuto okhudzana ndi kudziwa histogram kuchokera ku deta yomwe yaperekedwa. Kumvetsetsa bwino ma histogram kungatithandize kusanthula deta bwino ndikupanga zisankho zabwino kutengera izi.
Kuchita mobwerezabwereza popanga ndi kusanthula ma histogram ndi mitundu yosiyanasiyana ya deta ndi kuchuluka kwa mabini osiyanasiyana kudzalimbitsa luso lathu logwiritsa ntchito chida chofunikira ichi cha ziwerengero. Pitirizani kuyesa ndi kufufuza mbali zosiyanasiyana za ma histogram kuti mufufuze deta yanu bwino.
