Question

What is the average (arithmetic mean) of the integers from 1 to 30, inclusive?

A) 30!
B) 15!
C) 15.5
D) 15
E) 10

Answer 1

The answer is C) 15.5

Explanation:

The average (arithmetic mean) of a set of integers is calculated by summing up all the integers and then dividing by the total count of integers.

In this case, you want to find the average of the integers from 1 to 30, inclusive. There are 30 integers in this range.

The sum of integers from 1 to 30 can be calculated using the arithmetic series formula: Sum = (n/2) * (first term + last term), where n is the number of terms.

Sum = (30/2) * (1 + 30) = 15 * 31 = 465

Now, divide the sum by the total number of integers (30):

Average = Sum / Count = 465 / 30 = 15.5

So, the correct answer is:

C) 15.5