What is the average arithmetic mean of all the multiples of ten from 10 to 190 inclusive?

The average arithmetic mean of all the multiples of ten from 10 to 190 inclusive is 100.

Here's how to calculate it:

1. Identify the Multiples: The multiples of ten from 10 to 190 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190.

2. Count the Multiples: There are 19 multiples of ten in this sequence.

3. Sum the Multiples: 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 + 100 + 110 + 120 + 130 + 140 + 150 + 160 + 170 + 180 + 190 = 1900

4. Calculate the Average (Arithmetic Mean): Divide the sum by the number of multiples: 1900 / 19 = 100

Alternatively, you can use the formula for the arithmetic mean of an arithmetic sequence:

Average = (First Term + Last Term) / 2

In this case:

Average = (10 + 190) / 2 = 200 / 2 = 100

Therefore, the average arithmetic mean is 100.