Answer :
The arithmetic mean given set of data is 97.75.
The arithmetic mean of a data set is the sum of all the numbers in the set divided by the total number of numbers in the set. In this case, we can calculate the arithmetic mean by adding up all the numbers and then dividing by the total number of numbers, which is 10.
Step 1: Add up all the numbers: 116.8 + 116.8 + 116.8 + 72.1 + 83.1 + 101.3 + 90.9 + 97.6 + 83.7 + 98.4 = 977.5
Step 2: Divide the sum by the total number of numbers: 977.5 / 10 = 97.75
Therefore, the arithmetic mean of this data set is 97.75.
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