What is the average of the integers from 1 to 22? Here we will show you how to calculate the average of the integers from 1 to 22.
To calculate the average of any set of numbers, you divide the sum of the numbers by the total numbers in the set (Sum/Total).
Therefore, to calculate the average of the integers from 1 to 22, we need to divide the sum of the integers from 1 and 22 by the total number of integers from 1 to 22. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 1 to 22 by using a formula where a is the low number of 1 and b is the high number of 22:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((22 - 1 + 1) ÷ 2) × (1 + 22)
Sum = (22 ÷ 2) × (23)
Sum = 11 × 23
Sum of Numbers = 253
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 1 to 22. To calculate the total number of integers, we calculate the difference between 1 and 22 and then add 1. Here is the formula and the math. Once again, a is the low number of 1 and b is the high number of 22:
Total = b - a + 1
Total = 22 - 1 + 1
Total Number = 22
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 1 to 22. We calculate the average of the integers by dividing the Sum of Numbers from Step 1 by the Total Number from Step 2. Here is the math and the answer:
Average = Sum of Numbers ÷ Total Number
Average = 253 ÷ 22
Average = 11.5
Average of Integers in a Sequence Calculator
Use this calculator to calculate the average of integers in a sequence.