Consider the following dataset (sorted in non-decreasing order): <20, 28, 31, 34, 44, 51, 63, 81, 82, 105, 113, 135, 144, 158, 182>

1) If you transform the dataset into the interval of [0, 10] using Min-max

normalization, what is the new value of 135?

(2) If you transform the dataset using z-score normalization using the standard

deviation, what is the new value of 135?

(3) If you transform the dataset using z-score normalization using the mean absolute

deviation, what is the new value of 135?