Margin of Error Calculator — सूत्र
## How to Calculate Margin of Error
### Formula
**E = z * (sigma / sqrt(n))**
The margin of error is the half-width of the confidence interval. It depends on three factors: the confidence level (via z), the variability of the data (sigma), and the sample size (n). A smaller margin of error means a more precise estimate.
### Formula
**E = z * (sigma / sqrt(n))**
The margin of error is the half-width of the confidence interval. It depends on three factors: the confidence level (via z), the variability of the data (sigma), and the sample size (n). A smaller margin of error means a more precise estimate.
हल किया गया उदाहरण
z = 1.96, SD = 12, n = 100. What is the margin of error?
- Standard Error = 12 / sqrt(100) = 12 / 10 = 1.2
- Margin of Error = 1.96 * 1.2 = 2.352
- The sample mean will be within +/- 2.352 of the population mean with 95% confidence.