Topics Definition Formula Examples Transaction Details Definition Formula Formula (Continued) where Σ = Sum of X = Individual score M = Mean of all scores N = Sample size (Number of scores) s = square root of[(sum of Xsquared -((sum of X)*(sum of X)/N))/(N-1)] Example To find the Standard deviation of 1,2,3,4,5. Step 1: First, square each of the scores. X 1 2 3 4 5 X2 1 4 9 16 25 Example (Continued) Step2: Use the formula s = square root of[(sum of Xsquared -((sum of X)*(sum of X)/N))/(N-1)] = square root of[(55-((15)*(15)/5))/(5-1)] = square root of[(55-(225/5))/4] = square root of[(55-45)/4] = square root of[10/4] = square root of[2.5] s = 1.58113 Transaction Details Following data elements are capture: Min Max Average Standard Deviation Initiated Count Completed Count Failure Percentage Transaction Rate/Sec (TPS) Standard Deviation gives the true picture of variation in response time. Transaction Details – Example1 Transaction eg. Login Page Duration 1 0.929 2 3.779 3 0.524 4 3.987 5 1.412 6 0.222 7 2.603 8 1.139 9 10 2.187 0.499 Average µ 1.728 Stand-Dev. σ 1.3580 Transaction Details – Example2 Transaction eg. Login Page Duration 1 0.979 2 1.001 3 1.021 4 0.987 5 1.012 6 0.922 7 1.203 8 1.139 9 10 1.187 0.999 Average µ 1.045 Stand-Dev. σ 0.095
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