Lissafi
Kalkuleta na Daidaitaccen Canzawa
Matsakaicin karkacewar jama'a, daidaiton yawan jama'a da kuma daidaitaccen karkacewar samfurin don jerin lambobi.
Ƙara zuwa wurin aikiƘimomin shigarwa
Ana sabunta sakamako yayin da kake rubutu. Babu maɓallin lissafi. Duk lissafin suna gudana a cikin burauzarka.
Sakamako
—
Shigar da aƙalla lamba ɗaya, wanda aka raba ta da waƙafi ko sarari.
Rushewa
| Adadi | darajar |
|---|---|
| Ƙidaya (n) | — |
| Ma'ana | — |
| Jimillar karkacewar murabba'i | — |
| Bambancin yawan jama'a | — |
| Yawan jama'a SD | — |
| Bambancin samfurin | — |
| Samfurin SD | — |
| Mafi ƙanƙanta / matsakaicin | — |
Samfurin SD ba a bayyana shi ba don ƙima ɗaya (yana raba da n − 1 = 0) kuma an nuna shi kamar — a wannan yanayin.
Ƙa’ida
Ma'ana = Σx ÷ n. Yawan jama'a SD = √[Σ(x − ma'ana)² ÷ n]; samfurin SD yana amfani da n − 1 maimakon n. Bambancin yawan jama'a shine Σ(x − ma'ana)² ÷ n kuma bambancin samfurin shine Σ(x − ma'ana)² ÷ (n − 1).
Misalin aiki
Ga 12, 15, 18, 20, 25: ma'ana = 90 ÷ 5 = 18. Bambancin murabba'i sune 36, 9, 0, 4 da 49, wanda aka tara zuwa 98. Yawan jama'a SD = √(98 ÷ 5) = √19.6 = 4.4272 (4.427189 zuwa ƙarin wurare). Samfurin SD = √(98 ÷ 4) = √24.5 = 4.9497. Yi amfani da misalin Sake saitin da ke sama don sake maimaita wannan sakamakon, sannan maye gurbin jerin da bayananka.
Amfani da iyakoki
Kowace shigarwar jerin dole ne ta zama lamba mai iyaka. Yi amfani da yawan jama'a SD lokacin da jerin shine cikakken rukunin masu sha'awa, kuma samfurin SD lokacin da aka lura da kimanta yawan jama'a. Samfurin SD ba a bayyana shi ba don ƙima ɗaya. Bambancin da aka saba yana da alaƙa da waɗanda ba su da shi kuma yana bayyana yaduwa, ba siffar rarrabawa ba. An zagaye nuni zuwa wurare masu lamba 4.
FAQ
Yawan jama'a ko samfurin SD — wanne nake amfani da shi?
Yawan jama'a SD (÷ n) lokacin da lambobinku su ne dukkan rukunin da kuke damuwa da su. Samfurin SD (÷ n − 1) lokacin da suke samfurin kuma kuna kimanta yaduwar yawan jama'a.
Me yasa samfurin SD ya fi girma?
Yana rabawa da n − 1 maimakon n, wanda ke gyara gaskiyar cewa an sanya matsakaicin samfurin zuwa samfurin da kansa. Gibin yana raguwa yayin da n ke girma.
Me zai faru idan na shigar da lamba ɗaya kawai?
Yawan jama'a SD 0 ne (babu yaduwa), kuma samfurin SD ba a bayyana shi ba, an nuna shi kamar —, saboda n − 1 sifili ne.
Shin tsari na lambobin yana da mahimmanci?
A'a. Ma'ana da karkacewar da aka saba ba su canzawa ta hanyar sake tsara jerin.
Shin shigarwar da ba ta lambobi ba kuskure ne?
Eh. Shigarwa marasa inganci ko marasa iyaka suna dakatar da lissafi kuma suna nuna kuskure maimakon a tsallake su a hankali. Gyara jerin kafin karanta sakamako.
Kayan aiki masu alaƙa
- Kalkuleta na Jadawali — ƙara, cirewa, ninka ko raba ɓangarori kuma sauƙaƙe sakamakon
- Kashi na Kashi na Kashi na Kashi — kashi na ƙima, da ƙima bayan ƙaruwa ko raguwa
- GPA Kalkuleta — nauyin bashi GPA akan sikelin 4.0
Sakamako kimantawa ne kawai kuma ba ya nufin shawarar ƙwararru.