Final answer:
The arithmetic mean of the numbers 8, 1, 2, 6, 1, 4 is calculated by adding them to get a sum of 22, and then dividing by the number of values, which is 6, resulting in a mean of 3.67.
Step-by-step explanation:
The arithmetic mean of a series of numbers is the sum of all the numbers divided by the count of the numbers. To find the arithmetic mean of the numbers 8, 1, 2, 6, 1, 4, we first add up all the numbers:
- 8 + 1 + 2 + 6 + 1 + 4 = 22
Then, we divide the sum by the number of values in the set, which in this case is 6:
- 22 ÷ 6 = 3.67 (rounded to two decimal places)
Therefore, the arithmetic mean of the given numbers is 3.67.