The mode of a dataset is the data element with the highest frequency
The number of years that represents the mode of the Supreme Court justices served is 5
The dataset is given as:
0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31
From the above list
5 has the highest frequency of 7 (greater than other elements)
Hence, the number of years that represents the mode of the Supreme Court justices served is 5
Read more about modes at:
https://brainly.com/question/14532771