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(a) Give a numerical example of each of the following data summarisation scenarios: 1. The mean exhibits vulnerability to outliers while the median exhibits robustness

(a) Give a numerical example of each of the following data summarisation scenarios: 1. The mean exhibits vulnerability to outliers while the median exhibits robustness to outliers. 2. The 80-th percentile of a feature is the value 8. 3. The (Pearson) correlation coefficient between a pair of features is equal to one.

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