Timeline for Can I reconstruct a normal distribution from sample size, and min and max values? I can use mid-point to proxy the mean
Current License: CC BY-SA 3.0
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| Feb 7, 2014 at 14:36 | history | edited | Vyga | CC BY-SA 3.0 |
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| Feb 7, 2014 at 14:12 | comment | added | Scortchi♦ | Continuing this approach, $\operatorname{E} (R) = \sigma \int_{-\infty}^{\infty} 1-(1-\Phi(x))^n -\Phi(x)^n\, \mathrm{d} x = \sigma d_2(n)$, where $R$ is the range & $\Phi(\cdot)$ the standard normal cumulative distribution function. You can find tabulated values of $d_2$ for small $n$ in the statistical process control literature, numerically evaluate the integral, or simulate for your $n$. | |
| Feb 7, 2014 at 13:19 | history | edited | Scortchi♦ | CC BY-SA 3.0 |
fixed typo
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| Feb 7, 2014 at 13:17 | history | edited | Vyga | CC BY-SA 3.0 |
edited body
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| Feb 7, 2014 at 12:17 | review | First posts | |||
| Feb 7, 2014 at 12:49 | |||||
| Feb 7, 2014 at 11:59 | history | answered | Vyga | CC BY-SA 3.0 |