Hesabu ya Mzoga
Hesabu ya sampuli au kiwango cha watu hutofautiana, hutofautiana na humaanisha.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Kuna tofauti gani kati ya sampuli na kiwango cha watu kuachana?
Kanuni ya hesabu ya idadi ya watu hugawanya kasoro hizo kwa n; michanganyiko hugawanya kwa n. 1. kujali 1 (Krekesho la Berel 1986s) kwa hakika kwamba sampuli huelekea kupuuza mweneo halisi wa idadi ya watu iliyotokezwa nayo.
Kwa nini kuna kasoro hizo?
Kuruka hufanya kila kosa liwe na mwelekeo wa kutofuta, na kunafanya iwe vigumu zaidi kuacha mambo mapya.
Ninakadiriaje kiwango cha kutobadilika kwa mkono?
Tafuta maana, ondoa kila thamani ili uondoe mambo hayo yasiyofaa, ufunue kila upande na kuyaongeza, kisha ugawanye kwa n-Bo 1 kwa ajili ya watu wa kawaida na kuchukua mzizi wa mraba wa matokeo hayo.
Ni nini kiwango kizuri cha kuacha?
There is no universal "good" value — it depends entirely on the scale and context of your data. A standard deviation is only meaningful next to the mean; the same spread that is tiny for house prices could be enormous for test scores. The coefficient of variation expresses it as a percentage of the mean for comparison.
Je, kukengeuka kwa kiwango hicho kwaweza kuwa sufuri au hasi?
Inaweza kuwa sufuri, ambayo hutukia tu wakati kila thamani inapofanana na hakuna mweneo hata kidogo.
Kwa nini hesabu ya sampuli huhitaji angalau thamani mbili?
Kanuni ya sampuli hujigawanya kwa n__ 1, kwa hiyo thamani moja yaweza kugawanywa kwa sufuri na kuachwa bila kufafanuliwa.
API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria
Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →
keyboard label
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);Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.