Question

42. Calculate the standard deviation from the range values given in Example 3.5 using the Shewhart formula, s = R/d.

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Answer #1

First we need calculate \bar{R}. So,

\bar{R}=\frac{0.6+0.8+0.8+0.6+0.8+1+0.8+0.7}{8}=0.7625

For n=5 we have d_{2}=2.326

So standrad deviation will be

s=\frac{\bar{R}}{d_{2}}=\frac{0.7625}{2.326}\approx 0.3278

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