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To find the new median of the dataset, we first need to order the data in ascending order:
0, 0, 0, 1, 1, 2, 2, 2, 3, 4
Since there are 10 total data points, the median will be the average of the 5th and 6th data points:
Median = (1 + 2) / 2 = 1.5
Therefore, the new median of the dataset after the new student enrolled is 1.5 pets.