Calculate Standard Deviation and Taguchi Loss Function for Assessing Quality


1. The following sample data were collected: 11.5, 13.1, 26.2, 16.4, and 25.8. The sample standard deviation for this data is equal to

  1. 3.12
  2. 6.98
  3. 16.4
  4. 18.6

2. Given the following Taguchi Loss Function and specifications, determine the estimated loss if the quality characteristic under study takes on a value of 6.35 inches. Taguchi loss function: L(x) = 6,500(x – T)2, specifications (in inches): 6.00 ± 0.30.

  1. $2,275.00
  2. $325.00
  3. $796.25
  4. $16.25


These objective questions belong to Statistics and the questions are about calculating standard deviation and Taguchi Loss Function for calculating the loss in quality.

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