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Standard Deviation Calculation

Recommended Practice

  1. Identify control points and critical control points.
  2. Clean product surfaces.
  3. Conduct ATP Hygiene Monitoring tests at a certain number of set locations over the course of several days to get 20-50 results. Calculate the average and standard deviation (s.d) for the RLU values.

How to calculate the standard deviation of a single test location based on multiple swab results. Our example will use following RLU readings: {2, 5, 6, 6, 8, 9, 9, 10, 12, 13}.
Step 1. Calculate the mean/ average \overline{x}:
\overline{x}=\frac{1}{N}\sum_{i=1}^N x_i
We have N = 10 because there are ten data points:
            X1 = 2
            X2 = 5
            X3 = 6
            X4 = 6
            X5 = 8
            X6 = 9
            X7 = 9
            X8 = 10
            X9 = 12
            X10= 13

      Replacing N with 10
 
        This is the mean.
Step 2. Calculate the standard deviation \sigma\,\!:
   

    Replacing N with 10

    Replacing \overline{x}with 9

   


          This is the standard deviation.

  • Set limits as:

       Pass < (less than) or = (equal to) Mean RLU= 9
        Caution > (greater than) or = (equal to) Mean RLU (9) < (less than) Mean RLU + 3 (s.d) (9+3.3= 12.3)
        Fail > (greater than) or = (equal to) Mean RLU + 3 (s.d) (9+3.3=12.3)

        Pass 0 - 9 RLU
        Caution 9 – 12.3 RLU
        Fail > 12.3 RLU
  • Monitor results and assess trends. Recalculate once a year to optimize limits to improve sanitation/hygiene standards or whenever procedural changes are made to the cleaning program.





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