Show the formula you used to estimate the process standard deviation. Answer: (R÷d2)

The correct answer is A. (R÷d2). Option A, σ̂ = R̄ ÷ d₂, is correct because it is the standard statistical formula used in Statistical Process Control (SPC) to estimate the process standard deviation from sample range data. Here, R̄ is the average range across subgroups, and d₂ is a control chart constant…

Measure Phase

Question

Show the formula you used to estimate the process standard deviation. Answer:

(R÷d2)

Options

A(R÷d2)

How the community answered

(19 responses)

A
100% (19)

Explanation

Option A, σ̂ = R̄ ÷ d₂, is correct because it is the standard statistical formula used in Statistical Process Control (SPC) to estimate the process standard deviation from sample range data. Here, R̄ is the average range across subgroups, and d₂ is a control chart constant (found in SPC tables) that adjusts for subgroup size - it converts the expected range into standard deviation units. Since this question presents only one choice, there are no distractors to evaluate; the question is testing pure recall of the formula itself.

Memory tip: Think of d₂ as the "decoder" - it decodes the range back into standard deviation. R̄ gives you the spread in range units, and dividing by d₂ translates it into the σ you actually need for control charts.

Topics

#standard deviation estimation#R-bar d2#control chart constants#process spread

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