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

Solution:

We know that

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 and 190.

So the sum of multiples of ten from 10 to 190 inclusive is

10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 + 100 + 110 + 120 + 130 + 140 + 150 + 160 + 170 + 180 + 190 = 1900

Number of terms = 19

Arithmetic mean = sum of terms / number of terms

Arithmetic mean = 1900/19 = 100

Therefore, the average of all multiples from 10 to 190 is 100.

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

Summary:

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