Nhazi
Ihe n'ime ihe nlereanya mọọbụ ọnụọgụgụ nke standard deviation, varians na mean.
Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.
N'ihe banyere calculator a
Standard deviation measures how spread out a data set is around its mean: a small value means the numbers cluster tightly near the average, a large one means they are widely scattered. This calculator computes both the sample standard deviation (dividing the sum of squared deviations by n − 1, Bessel’s correction) and the population standard deviation (dividing by n), and reports the variance, mean, range and the sum of squared deviations it used. Choose sample when your numbers are a subset drawn from a larger group, and population when they are the entire group.
The method has four steps: find the mean, subtract it from each value to get the deviations, square those deviations and add them up, then divide by n − 1 (sample) or n (population) and take the square root. The square root returns the answer to the same units as the original data, which is why standard deviation is usually preferred over variance for interpretation.
Worked example: for 2, 4, 4, 4, 5, 5, 7, 9 the mean is 5. The squared deviations sum to 32, so the population variance is 32 ÷ 8 = 4 and the population standard deviation is √4 = 2; the sample version divides 32 by 7, giving about 4.57 and a standard deviation of roughly 2.14. The deviation table below shows each value’s distance from the mean and its squared deviation so you can follow the calculation.
Ajụjụ ndị a na-ajụkarị
Gịnị bụ ọdịiche dị n'etiti sample na standard deviation nke ndị mmadụ?
Fomulụ ndịna-abia na-akpụga n'ime n; fomulụ nlele na-akpụga n'ime n - 1. N - 1 (Bessel's correction) na-ewepụ n'ihi na nlele na-ewepụ n'ime nlele n'ihi na ọ na-ewepụ n'ime nlele n
Gịnị mere ị ga-eji kwaarị deviasịọns?
Kwaarịri na-eme ka ndesịta ndesịta niile dị mma ka ha ghara ịkwụsị n'ime, nakwa ọ na-ewere n'obi n'ime ndesịta ndesịta ndị dị ukwuu. Itinye square root na ngwụcha na-ewere n'obi n'ime kọmpụta.
Olee otú m ga-esi hazie станда́rd deviation site n'aka?
Chọta n'etiti, wepụ ya site na valiu ọbụla ka ị nweta dìfọ́ọ̀ltụ̀, kpụga dìfọ́ọ̀ltụ̀ ọbụla nakwa tinye ha, wee kpụga ya site na n − 1 maka saịlọn mọọbụ n maka ọnụọgụgụ nakwa kpụga pụtakwa pụta nke ahụ.
Gịnị bụ ụkpụrụ n'ozuzu ya?
Enweghị uru "ihe ọma" zuru ụwa ọnụ - ọ na-adabere n'obere na n'obere nke data gị. Nhazi ngbanwe bụ naanị ihe bara uru n'ebe dị nso na n'etiti; n'otu n'otu nke dị obere maka ọnụọgụgụ ụlọ nwere ike ịbụ nnukwu maka n'isiokwu nnyocha. Kóọ̀fènụ̀ nke ngbanwe na-egosi ya dịka pasenti nke n'etiti maka ntụgharị.
Ọ bụrụ na ọbụla standard deviation bụ sẽọ̀rọ̀ mọọbụ na-ébèghị̀?
O nwere ike ịbụ seọl, nke na-eme naanị mgbe válọ́ọ̀tụ̀ ọbụla dị otu n'otu na ọ dịghị n'ebe ọbụla. O gaghị adị n'ebe ọbụla, n'ihi na ọ bụ square root nke ọnụọgụgụ squared.
Gịnị mere nchọgharị nlele ahụ ji achọ n'okpuru uru abụọ?
Nhazi fomulụ na-akpụga site n'n - 1, ya mere, uru ọbụla ga-akpụga site na seọnụ na-ahapụghị ya n'ezipụta. Nhazi ụkpụrụkpụga na-eme ka ọ bụrụ na ị nwere abụọ mọọbụ ihe karịrị nlekọta iji tụnyere.
API — jiri kaadị a site na kóòdù
Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →
Ebemkpofuozi
GET https://calculator.free/api/v1/standard-deviation/curl
curl "https://calculator.free/api/v1/standard-deviation/?numbers=9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/standard-deviation/?" + new URLSearchParams({
"numbers": "9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.