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Kalkuleta Bambance-bambance

Bambancin yawan jama'a da samfurin saitin bayanai - tare da matsakaicin karkacewa da duka daidaitattun karkacewa tare da.

Ƙara zuwa wurin aiki

Ƙimomin shigarwa

Shigar da aƙalla lambobi biyu. Ana sabunta sakamako yayin da kake rubutu. Duk lissafin suna gudana a cikin burauzarka.

Bambancin yawan jama'a

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Bambancin Samfura: —Ma'ana: —SD (pop / samfurin): —

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Ƙa’ida

Da farko matsakaicin x̄ = (jimillar ƙima) ÷ n. Sannan jimlar karkacewar murabba'i SS = Σ(x − x̄)². Bambancin yawan jama'a (lokacin da bayanai suka kasance dukkan rukuni) shine SS ÷ n; bambancin samfurin (lokacin da bayanai suka kasance samfurin daga babban rukuni) shine SS ÷ (n − 1). Bambancin da aka saba dashi shine tushen murabba'i na bambance-bambance, a cikin raka'o'in asali. Mai raba n − 1 (gyaran Bessel) yana rama gaskiyar cewa matsakaicin samfurin yana kusa da maki fiye da matsakaicin gaskiya.

Misalin aiki

2, 4, 4, 4, 5, 5, 7, 9: jimlar ita ce 40 da n = 8, don haka matsakaicin shine 5. Bambancin murabba'i sune 9, 1, 1, 1, 0, 0, 4, 16, an taƙaita zuwa SS = 32. Bambancin yawan jama'a = 32 ÷ 8 = 4.00 (SD 2.00); Bambancin samfurin = 32 ÷ 7 = 4.57 (SD 2.14). Adadin samfurin ya fi girma saboda yana rabawa da ƙaramin lamba - daidaitaccen daidaitawa lokacin da aka haɗa shi daga samfurin zuwa yawan jama'a.

Amfani da iyakoki

Wannan shafin yana bayanin bazawa kawai; bai faɗi komai game da siffar rarrabawa ba, ko kuma ma'aunin ya kasance taƙaitaccen bayani. Bambancin yana cikin raka'a murabba'i (dala murabba'i, santimita murabba'i), shi ya sa bambancin daidaito yawanci shine adadi da aka ruwaito - yana komawa zuwa raka'o'in asali. Ƙima ɗaya mai tsauri yana haɓaka bambancin sosai, don haka ga bayanai masu karkacewa la'akari da kewayon matsakaici da na tsakiya tare da. Bambancin samfurin yana buƙatar aƙalla ƙima biyu; tare da ƙima ɗaya ba a bayyana shi ba.

Sigar tsari: a46d11c28e7b · An duba misali:

FAQ

Wane bambanci nake amfani da shi, yawan jama'a ko samfurin?

Yawan jama'a lokacin da bayananku duk wanda kuke damuwa da shi ne (duk ma'aikata, duk samfuran da aka gwada). Samfurin lokacin da bayananku ƙaramin rukuni ne da aka yi niyya don wakiltar babban rukuni (bincike, rukunin gwaji). Yawancin nazarin duniya na gaske yana amfani da sigar samfurin.

Me yasa aka raba ta n − 1 don samfurin?

Saboda matsakaicin samfurin da kansa an haɗa shi da bayanan, bambance-bambancen murabba'i da ke kewaye da shi suna da ƙanƙanta sosai. Rabawa da n − 1 maimakon n yana gyara wannan son zuciya a matsakaici — gyaran Bessel.

Me yasa ake yin murabba'i tsakanin karkace-kace?

Domin kuwa karkacewa bayyananne ya kai sifili ta hanyar ma'anar matsakaicin: karkacewa mai kyau da mara kyau yana sokewa. Kafa kusurwa yana sa karkacewa ba ta zama mara kyau ba kafin a daidaita ta kuma yana ba da babban karkacewa ƙarin nauyi.

Menene bambanci tsakanin karkace-kace da karkace-kace na yau da kullun?

Karkace-kace na yau da kullun shine tushen murabba'i na bambance-bambance. Bambance-kace shine adadi mai dacewa da lissafi; karkace-kace na yau da kullun shine wanda za'a iya fassarawa, saboda yana dawowa cikin raka'o'in asali (dala, santimita, maki).

Shin bambancin zai iya zama sifili?

Haka ne, lokacin da kowace ƙima take iri ɗaya - babu yaduwa kwata-kwata. Ba zai taɓa zama mara kyau ba, tunda matsakaicin murabba'i ne.

Shin bambanci yana gaya mini game da waɗanda ba su dace ba?

Bambancin yana taƙaita yawan faɗaɗar murabba'i kuma yana da alaƙa da ƙima mai tsanani. Ba ya gano waɗanda ba sa cikinsa da kansa. Duba abubuwan da aka tsara, kewayon da kewayon da ke kusa da su.

Kayan aiki masu alaƙa

Sakamako kimantawa ne kawai kuma ba ya nufin shawarar ƙwararru.