Kalkuleta ta Matsakaici
Lissafa matsakaici, tsakiya, yanayi, iyaka da ma'aunan kididdiga
Yadda Lissafin Kididdiga ke Aiki
Fahimtar ilimin lissafi a bayan nau'ikan matsakaici daban-daban da ma'aunan kididdiga yana taimaka maka ka zaɓi ma'aunin da ya dace don nazarin bayananka.
- Matsakaici (matsakaici na lissafi) yana hada dukkan darajoji kuma yana raba da adadinsu
- Tsakiya tana neman darajar tsakiya lokacin da aka jera lambobi a jere
- Yanayi yana gano darajar (ko darajojin) da ta fi yawan fitowa
- Iyaka tana auna bambanci tsakanin daraja mafi girma da mafi karanci
- Karkacewar mizani tana nuna yadda wuraren bayanai suka watse
Menene Kalkuleta ta Matsakaici?
Kalkuleta ta matsakaici tana lissafa ma'aunan kididdiga daga jerin lambobi. Ma'aunin da ya fi yawa shine matsakaici (matsakaici na lissafi), amma wannan kalkuletar tana samar da tsakiya (darajar tsakiya), yanayi (darajar da ta fi yawan fitowa), iyaka (bambanci tsakanin mafi girma da mafi karanci), bambanci, da karkacewar mizani. Waɗannan ma'aunai suna taimaka maka ka fahimci tsakiyar karkata da yaduwar bayananka, masu amfani wajen nazarin maki, albashi, yanayin zafi, sakamakon jarrabawa, da kowane irin bayanan lamba.
Abubuwan Amfani da aka Saba
Nazarin Maki
Lissafa matsakaicin sakamakon jarrabawa, maki na aikin gida, ko aikin zangon karatu don fahimtar matsayin ilimi.
Nazarin Kudi
Lissafa matsakaicin kashe-kashe, kudin shiga, farashi, ko ribar saka hannun jari a tsawon lokaci.
Nazarin Bayanai
Yi nazarin sakamakon bincike, ma'aunai, ko bayanan gwaji tare da ma'aunan kididdiga.
Binciken Kimiyya
Lissafa matsakaici da karkacewar mizani don gwaje-gwaje, lura, ko ma'aunan samfuri.
Demographics
Yi nazarin kididdigar yawan jama'a kamar matsakaicin shekaru, tsawo, nauyi, ko rarraba kudin shiga.
Lafiya & Motsa Jiki
Bibiyi matsakaicin bugun zuciya, hawan jini, raguwar nauyi, ko aikin motsa jiki a tsawon lokaci.
Nau'ikan Matsakaici
Matsakaici na Lissafi
Dabara: Jimla ÷ Adadi
Matsakaici mafi yawa, yana hada dukkan darajoji kuma yana raba da adadin lambobi
Tsakiya
Dabara: Darajar Tsakiya
Lambar tsakiya lokacin da aka jera bayanai, ba ta da tasirin matsanancin darajoji
Yanayi
Dabara: Mafi Yawanci
Darajar da ta fi yawan fitowa, tana da amfani ga bayanan rukuni
Matsakaicin Lissafin Yanayin Girma
Dabara: ⁿ√(a₁×a₂×...×aₙ)
Ana amfani da shi don yawan girma, kaso, da lissafin girma mai yawa
Matsakaicin Harmoni
Dabara: n ÷ (1/a₁ + 1/a₂ + ... + 1/aₙ)
Ana amfani da shi don yawan kamar gudu, inda ake buƙatar matsakaicin yawan
Matsakaici mai Nauyi
Dabara: Σ(daraja × nauyi) ÷ Σ(nauyi)
Kowace daraja tana da muhimmanci daban-daban ko nauyin yawa
An Yi Bayanin Ma'aunan Kididdiga
Tsakiyar Karkata
Matsakaici, tsakiya, da yanayi duk suna bayyana 'tsakiyar' jerin bayananka
Sauyawa
Iyaka da karkacewar mizani suna nuna yadda wuraren bayananka suka watse
Siffar Rarraba
Kwatanta matsakaici da tsakiya yana bayyana idan bayanai sun karkata zuwa hagu ko dama
Gano Fitattu
Darajoji masu nisa daga matsakaici na iya zama fitattu waɗanda ke shafar nazarin ka
Samfuri vs. Al'umma
Ana amfani da dabarun daban-daban dangane da ko kana da dukkan bayanai ko kuma samfuri kawai
Yadda ake Amfani da Wannan Kalkuleta
Mataki na 1: Shigar da Lambobinka
Buga ko manna lambobi a cikin wurin rubutu. Raba su da wakafi, sarari, ko sabbin layuka.
Mataki na 2: Sakamako suna Bayyana Kai tsaye
Kalkuletar tana lissafa dukkan ma'aunan kididdiga nan take yayin da kake bugawa.
Mataki na 3: Karanta Matsakaici
Matsakaici (matsakaici na lissafi) shine jimlar dukkan lambobi da aka raba da adadinsu.
Mataki na 4: Duba Tsakiya
Tsakiya ita ce darajar tsakiya lokacin da aka jera lambobi. Kadan abin ya shafa daga fitattu fiye da matsakaici.
Mataki na 5: Nemo Yanayi
Yanayi shine lambar (ko lambobin) da ta fi yawan fitowa. Yana da amfani wajen neman darajoji na yau da kullun.
Mataki na 6: Yi Nazarin Sauyawa
Karkacewar mizani tana nuna yadda lambobi suka watse daga matsakaici.
Yaushe ake Amfani da Matsakaici Daban-daban
Rarraba ta Al'ada
Yi amfani da matsakaicin lissafi - yana wakiltar tsakiyar bayanai daidai
Bayanai masu Karkata
Yi amfani da tsakiya - ba ta da tasirin matsanancin darajoji ko fitattu
Bayanai na Rukuni
Yi amfani da yanayi - yana gano rukuni ko amsar da ta fi yawa
Yawan ko Raba
Yi amfani da matsakaicin harmoni - ya dace da matsakaicin gudu, yawan, ko raba
Yawan Girma
Yi amfani da matsakaicin lissafin yanayin girma - mai kyau don girma mai tarawa ko canjin kaso
Muhimmanci mai Nauyi
Yi amfani da matsakaici mai nauyi - lokacin da darajoji daban-daban ke da muhimmanci daban-daban
Siffofin Kididdiga na Ci gaba
Kalkuletarmu ta wuce matsakaicin asali don samar da cikakken nazarin kididdiga tare da daidaiton matakin kwararru.
Kididdigar Al'umma vs. Samfuri
Tana lissafa bambancin al'umma (σ, σ²) da na samfuri (s, s²) da karkacewar mizani tare da dabarun da suka dace
Matsakaicin Lissafin Yanayin Girma
Tana lissafa matsakaicin lissafin yanayin girma kai tsaye don lambobi masu kyau - mai kyau don yawan girma da kaso
Gyaran Bessel
Kididdigar samfuri tana amfani da mai raba n-1 (gyaran Bessel) don kiyasin al'umma da ba shi da son zuciya
Gano Yanayi mai Wayo
Tana nuna yanayi ne kawai lokacin da darajoji suka maimaita - tana kauce wa yanayin da ba shi da ma'ana na fitowa sau daya
Saukakawar Shigarwa
Tana karɓar darajoji da aka raba da wakafi, sarari, ko sabon layi don saukakawa mafi girma
Sarrafa Daidaito
Tana nuna har zuwa wurare 4 na goma yayin da take kiyaye cikakken daidaiton lissafi a ciki
Tukwici kan Nazarin Kididdiga
Matsakaici vs. Tsakiya
Yi amfani da tsakiya lokacin da bayanai ke da fitattu. Matsanancin darajoji suna shafar matsakaici, amma ba sa shafar tsakiya. Misali: kudin shiga na gida.
Fahimtar Yanayi
Yanayi yana gano darajar da ta fi yawa. Yana da amfani ga bayanan rukuni ko neman darajoji na yau da kullun. Babu yanayi idan duk darajoji sun bayyana daidai.
Karkacewar Mizani
Karancin karkacewar mizani yana nufin bayanai sun taru kusa da matsakaici. Babban karkacewar mizani yana nufin bayanai sun watse sosai.
Tasirin Fitattu
Matsanancin darajoji suna shafar matsakaici da karkacewar mizani sosai. Duba min/max don gano yiwuwar fitattu.
Girman Samfuri Yana da Muhimmanci
Manyan jerin bayanai suna ba da ma'aunan kididdiga masu inganci. Kananan samfura ba za su iya wakiltar al'umma daidai ba.
Daidaiton Goma
Kalkuletar tana nuna har zuwa wurare 4 na goma don daidaito. Zagaye zuwa daidaiton da ya dace da amfaninka.
Kididdiga ta Ci gaba
Kalkuletarmu tana ba da kididdigar al'umma da ta samfuri, tare da matsakaicin lissafin yanayin girma na musamman.
Daidaiton Kididdiga
Yana amfani da gyaran Bessel (n-1) don bambancin samfuri da karkacewar mizani don samar da kiyasin da ba shi da son zuciya.
Aikace-aikace a Rayuwa ta Gaskiya
Ilimi
Lissafa GPA, sakamakon jarrabawa, da ma'aunan aikin aji
Kasuwanci
Matsakaicin tallace-tallace, kimar abokan ciniki, nazarin kudin shiga na kwata
Kididdigar Wasanni
Aikin 'yan wasa, matsakaicin kungiya, kididdigar kakar wasa
Binciken Kimiyya
Sakamakon gwaji, daidaiton ma'auni, tabbatar da bayanai
Kudi
Ribar saka hannun jari, bin diddigin kashe-kashe, nazarin kasafin kudi
Sarrafa Inganci
Juriya na masana'antu, yawan lahani, inganta tsari
Gaskiya masu Ban Sha'awa game da Matsakaici
Tasirin Tafkin Wobegon
Yawancin mutane sun yi imanin cewa sun fi matsakaici, amma a lissafi, rabin kawai zai iya zama sama da tsakiya.
Komawa zuwa Matsakaici
Matsanancin ma'aunai suna karkata zuwa kusa da matsakaici lokacin da aka sake auna su - muhimmin ra'ayi na kididdiga.
Paradox na Matsakaici
Matsakaicin mutum yana da kasa da kafafu 2 (saboda yanke sassan jiki), wanda ke nuna dalilin da yasa tsakiya wani lokaci ya fi kyau.
Kudin Shiga vs. Albashi
Kudin shiga na tsakiya yakan zama kasa da matsakaicin kudin shiga saboda masu samun kudi masu yawa suna karkatar da matsakaici zuwa sama.
Matsakaicin Maki (GPA)
GPA suna amfani da matsakaici masu nauyi inda sa'o'in kiredit ke tantance nauyin kowane maki na kwas.
Matsakaicin Buga
Matsakaicin buga na wasan baseball a zahiri kaso ne: bugu da aka raba da yawan fitowa, ba ainihin matsakaici ba.
Kuskuren Lissafin Matsakaici na Yau da Kullun
Matsakaicin Matsakaici
Ba za ka iya matsakaicin matsakaicin kungiyoyi biyu kawai ba - kana buƙatar bayanan asali ko nauyi mai dacewa.
Yin watsi da Fitattu
Matsanancin darajoji na iya karkatar da matsakaici sosai - yi la'akari da amfani da tsakiya ko cire fitattu.
Nau'in Matsakaici mara Daidai
Yin amfani da matsakaicin lissafi don yawan ko kaso lokacin da matsakaicin lissafin yanayin girma ko harmoni ya dace.
Rikicewar Girman Samfuri
Kananan samfura suna da matsakaicin da ba shi da inganci - manyan samfura suna ba da sakamako mafi daidai.
Kuskuren Daidaito
Zagaye lissafin tsaka-tsaki maimakon sakamakon ƙarshe na iya haifar da kuskuren tarawa.
Rashin Daidaiton Raka'a
Cikakken Jagoran Kayan Aiki
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