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Sample Size Calculator

Confidence Level

Margin of Error (%)

Population Proportion (%)

Population Size (optional)

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అంటే ఏమిటి Sample Size Calculator?

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Sample size is the number of observations needed to estimate a population parameter within a specified margin of error at a given confidence level. Larger samples give more precise estimates, but the relationship is not linear — quadrupling the sample only halves the margin of error.

Calkulon makes complex calculations simple — built for students and everyday problem-solvers.

ఎలా Sample Size Calculator

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1Determine your confidence level (usually 95%) and margin of error (usually ±5%)
2Estimate the proportion p (use 50% if unknown — gives the most conservative/largest sample)
3Formula: n = z²×p×(1−p) / e²
4For finite populations, apply correction: n_adjusted = n / (1 + (n−1)/N)

పరిష్కరించిన ఉదాహరణలు

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ఉదాహరణ 1

ఇవ్వబడింది:95% CI, ±5% margin, unknown proportion

ఫలితం:n = 385

The standard "385 rule" for large populations

ఉదాహరణ 2

ఇవ్వబడింది:99% CI, ±3% margin

ఫలితం:n = 1,844

Higher confidence and precision requires much larger sample

Sample Size Quick Reference (95% CI)

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Margin of Error	p=50% (worst case)	p=30%	p=10%
±1%	9,604	8,068	3,457
±2%	2,401	2,017	864
±3%	1,068	897	384
±5%	385	323	138
±10%	97	81	35

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నిపుణుడి చిట్కా

Always recruit slightly more than your target sample size to account for non-response and dropout. A 20% buffer is common in research.

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మీకు తెలుసా?

National polls of 1,000–1,500 people can represent a country of 300 million with only ±3% margin of error. The key is random selection — a biased sample of 1 million is worse than a random sample of 1,000.

సూచనలు

›Sample size determination — Wikipedia

Formula-verified for precision

Reviewed October 2026

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Sample Size Calculator