Ek data set ki population aur sample standard deviation, variance, mean aur sum turant calculate karein — sab kuch aapke browser mein hi calculate hota hai.
Standard Deviation Calculator Online
Ek data set ki population aur sample standard deviation, variance, mean aur sum turant calculate karein — sab kuch aapke browser mein hi calculate hota hai.
Standard Deviation Calculator poori tarah aapke browser mein chalta hai. Aapke daale gaye numbers locally calculate hote hain aur kabhi aapke device se bahar nahi jaate.
Standard Deviation Calculator ek data set ki mean, variance aur standard deviation nikalta hai, population version (n se divide karta hai) aur sample version (n − 1 se divide karta hai) dono calculate karke, taaki aap apne data ke hisaab se sahi wala choose kar sakein. Numbers ko comma, space, tab, semicolon ya newline se separate karke paste kijiye aur yeh turant count, sum, mean, population aur sample variance, aur population aur sample standard deviation deta hai, saath hi ek step-by-step table jisme har value ka mean se deviation aur uska squared deviation dikhta hai. Yeh students ke liye useful hai jo homework check kar rahe hain, analysts ke liye jo ek sample summarize kar rahe hain, aur kisi ke liye bhi jise yeh dekhna ho ki measurements ka set kitna spread out hai. Sab kuch aapke browser mein locally chalta hai — aapke daale gaye numbers kabhi upload nahi hote.
Features
Numbers ko comma, space, tab, semicolon ya newline se separate karke enter karein — inhe mix bhi kar sakte hain
Count, sum aur mean ke saath variance aur standard deviation calculate karta hai
Population standard deviation (÷ n) aur sample standard deviation (÷ n − 1) dono dikhata hai
Har value ka mean se deviation aur squared deviation dikhane wali step-by-step table
Negative numbers aur decimals ko handle karta hai
Sabhi results ka plain-text summary ek click mein copy karein
Jab sirf ek value ho toh clear message (sample stats ke liye kam se kam do values chahiye)
Poori tarah aapke browser mein chalta hai, kuch bhi upload nahi hota
Standard Deviation Calculator kaise use karein
Apne numbers data set field mein type ya paste karein, comma, space, tab, semicolon ya newline se separate karke
Results ke top par mean, sum aur count padhein
Apne use case ke hisaab se population standard deviation ko sample standard deviation se compare karein
Results ke neeche steps table mein har value ka deviation aur squared deviation dekhein (pehli 50 values dikhti hain)
Apne notes ya report ke liye summary copy karein
Example
Input
2,4,4,4,5,5,7,9
Output
Mean 5 · Pop SD 2 · Sample SD 2.1381
Population SD n = 8 se aur sample SD n − 1 = 7 se divide hota hai; results 4 decimal places tak round hote hain.
Common errors aur troubleshooting
Sample standard deviation mein 'Need ≥ 2 values' dikhta hai. — Sample standard deviation n − 1 se divide karta hai, isliye kam se kam do numbers chahiye. Ek hi value hone par sirf population statistics (jo ek point ke liye 0 hoti hain) apply hoti hain.
Spreadsheet se column copy karke paste karne ke baad result galat lag raha hai. — Paste kiya gaya column waise hi kaam karta hai, kyunki newline values ko alag karti hai. Jo plain number nahi hai, jaise $5 ya 5%, woh skip ho jaata hai, aur thousands separator number ko tod deta hai: 1,000 ko 1 aur 0 padha jaata hai. Copy karne se pehle cells ko 1000 jaise plain numbers mein format karein.
Pata nahi population ya sample standard deviation use karna hai. — Population standard deviation tab use karein jab aapke numbers pura wahi group hon jiski aapko parwah hai; sample standard deviation tab use karein jab woh ek bade population ka subset ho jise aap estimate kar rahe hain.
Standard deviation data ke range ke muqable bahut chhota lag raha hai. — Standard deviation mean ke aas-paas ka typical spread measure karta hai, poora range nahi — kuch outliers mean ko khinch dete hain, lekin zyada clustered values standard deviation ko moderate rakhti hain.
Aksar pooche jaane wale sawaal
Standard Deviation Calculator kya return karta hai?
Yeh aapke data set ka count, sum aur mean return karta hai, saath hi population aur sample variance aur standard deviation, 4 decimal places tak rounded, aur ek table jisme har value ka mean se deviation aur squared deviation dikhaya jaata hai.
Population aur sample standard deviation mein kya difference hai?
Population standard deviation squared deviations ke sum ko n se divide karta hai aur tab use hota hai jab aapka data pura group ho. Sample standard deviation n − 1 (Bessel's correction) se divide karta hai aur tab use hota hai jab aapka data ek sample ho jo ek bade population ko estimate kar raha ho.
Kya standard deviation calculator negative numbers handle kar sakta hai?
Haan. Negative numbers, decimals aur mixed positive/negative data sets sab support hote hain — calculator har token ko parse karta hai aur jo valid number nahi hai use skip kar deta hai.
Kya sample standard deviation hamesha population standard deviation se bada hota hai?
Haan, jab bhi values alag-alag hon. Sample standard deviation n ki jagah n − 1 se divide karta hai taaki sample ki poori population ka spread kam aankne ki tendency correct ho, isliye yeh √(n/(n − 1)) guna bada hota hai: do values par lagbhag 41%, das par lagbhag 5%, aur n badhne par aur kam. Agar saari values same hon, to dono 0 hote hain.
Kya Standard Deviation Calculator mere numbers kahin upload karta hai?
Nahi. Standard Deviation Calculator poori tarah aapke browser mein chalta hai. Aap jo numbers type ya paste karte hain woh kabhi kisi server ko nahi bheje jaate aur aapke device par hi rehte hain.
Numbers ke beech mein main kaunse separators use kar sakta hoon?
Comma, space, tab, semicolon aur newline sab kaam karte hain, aur aap inhe mix bhi kar sakte hain, isliye spreadsheet se paste kiya column aur comma-separated list dono ek jaise parse hote hain. Thousands separator mat lagaiye: 1,000 do values, 1 aur 0, ki tarah padha jaata hai, isliye 1000 type karein.