Kalkaaliyeyaasha
dhiso kala-guurka kalsoonida ee u dhexeeya tusaale ka mid ah tusaale u dhexeeya, SD iyo cabbirka.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
A confidence interval gives a range that is likely to contain the true population mean, estimated from a sample. Instead of a single best guess it reports a band together with a confidence level that says how often such bands capture the true value.
This calculator uses the z-interval: mean ± z*·(σ / √n), where z* is the standard-normal critical value for your chosen confidence level (1.645 for 90%, 1.96 for 95%, 2.576 for 99%) and σ / √n is the standard error. It reports the bounds, the margin of error and the standard error, and a table shows the interval at the 90%, 95% and 99% levels so you can see how the range widens as you demand more confidence.
Worked example: a sample mean of 100 with a standard deviation of 15 and 50 observations has a standard error of 15 ÷ √50 ≈ 2.12. At 95% confidence the margin is 1.96 × 2.12 ≈ 4.16, giving an interval of about 95.84 to 104.16. The z-interval suits large samples (roughly n ≥ 30) or a known population standard deviation; for small samples use a t-interval instead.
Su'aalaha badanaa la isweydiiyo
Maxaa ka dhigaysa 95% kalsooni kala badh macnaheedu yahay?
Waxay ka dhigan tahay in haddii aad ku celceliso tijaabada marar badan oo dhisay kala fogaansho mar kasta, oo ku saabsan 95% ka mid ah kala fogaansho kuwaasi ku jiri lahaa dadka dhabta ah dhexdhexaad ah. Waxayna ma aha in ay ka dhigan tahay in ay jiraan 95% suurtagalnimada dhexdhexaad ah waa in mid ka mid ah kala fogaansho gaar ah.
Markaan u baahanahay inaan isticmaalo t-dhexdhexaad ah?
isticmaal t-dhexdhexaad marka tusaale waa yar yahay (ugu yaraan hoos 30) iyo dadka caadiga ah ee ka leexashada waa la ogeyn. t-qaybsiga waxaa jira dabada culus, siin mid yar oo ballaaran, ka badan oo ka taxaddar badan oo dhexdhexaad ah ka badan tan z-ku salaysan mid.
Waa maxay xaddiga qaladka ah ee dhexdhexaad ah kalsooni?
Marjica qaladku waa badh-waxaad u dhexeysa, z * · (σ / √n). Waxaad ku darto oo ka soo qaado tusaale ka mid ah macnaheedu waa in ay helaan xadka sare iyo hoose, sidaas marjica yar u dhiganta qiimeyn ka badan oo sax ah.
Sideen u sameeyaa in ay kala fogaansho kalsooni ka yar?
Ku ururi tusaale weyn, tan iyo ballaca hoos u laabto la jirridda square ee n, ama aqbalo heerka kalsoonida hooseeya. yareynta kala duwanaansho ee xogtaada sidoo kale wuxuu adkeynayaa kala fogaanshaha.
Ma heerka kalsoonida sare ka dhigaysaa kala fogaanshaha ballaaran?
Haa. Dalbashada kalsooni dheeraad ah isticmaalaa qiimaha muhiimka ah z * weyn, sidaas darteed 99% kala badh waa ka ballaaran ka mid ah kala badh 95% ka dhisan xogta isku mid ah. Waxaa jira mar walba is-dhaafsiga u dhexeeya kalsoonida iyo saxnaanta.
Waa maxay khalad caadi ah?
The qalad standard waa ka leexashada standard la qaybiyo by square root of size tusaale ah (σ / √n). Waxay miisaanka sida badan oo tusaale ah oo macnaheedu yahay in ay isbeddeli lahaa tusaale ah in tusaale ah, iyo waa dhismaha block of margin of qalad.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →
Xarafka
GET https://calculator.free/api/v1/confidence-interval/curl
curl "https://calculator.free/api/v1/confidence-interval/?mean=100&sd=15&n=50&conf=1.96"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/confidence-interval/?" + new URLSearchParams({
"mean": "100",
"sd": "15",
"n": "50",
"conf": "1.96"
}));
const data = await r.json();
console.log(data.results);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.