Final answer:
The arithmetic mean, median, and mode of the given data set are 20.18, 21, and 21, respectively.
Step-by-step explanation:
To find the arithmetic mean, median, and mode of the given data set, we need to organize the data in ascending order:
12, 16, 18, 19, 21, 21, 21, 22, 24, 24, 26
The arithmetic mean (also known as the average) can be found by summing up all the values and dividing by the number of values:
(12 + 16 + 18 + 19 + 21 + 21 + 21 + 22 + 24 + 24 + 26) / 11 = 20.18
The median is the middle value in the ordered list, so here it is 21.
The mode is the value that appears most frequently, and in this case, it is 21.
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