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Basic Statistics208110 marksNumerical: variability comparison clustersComparison of consistency between datasets

Response Time Consistency Comparison A cloud service provider is evaluating the response times of two different server clusters over 10 requests. The company wants to compare the variability in response times between the two clusters. Here are the response times (in milliseconds) for the two cluster

Response Time Consistency Comparison

A cloud service provider is evaluating the response times of two different server clusters over 10 requests. The company wants to compare the variability in response times between the two clusters. Here are the response times (in milliseconds) for the two clusters. Which cluster has more consistent response times?

$$\begin{array}{|c|cccccccccc|}\hline \text{Cluster A} & 88 & 92 & 94 & 85 & 90 & 95 & 89 & 87 & 91 & 86 \ \hline \text{Cluster B} & 130 & 135 & 132 & 140 & 128 & 133 & 137 & 131 & 129 & 138 \ \hline \end{array}$$

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Cluster A (ms): 88, 92, 94, 85, 90, 95, 89, 87, 91, 86 (n = 10) Cluster B (ms): 130, 135, 132, 140, 128, 133, 137, 131, 129, 138 (n = 10) Since the two clusters have very different means, the correct measure to compare consistency is the Coefficient of Variation (CV), which is relative (unitless)...

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