What is the average of the integers from 21 to 130? Here we will show you how to calculate the average of the integers from 21 to 130.
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 21 to 130, we need to divide the sum of the integers from 21 and 130 by the total number of integers from 21 to 130. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 21 to 130 by using a formula where a is the low number of 21 and b is the high number of 130:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((130 - 21 + 1) ÷ 2) × (21 + 130)
Sum = (110 ÷ 2) × (151)
Sum = 55 × 151
Sum of Numbers = 8305
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 21 to 130. To calculate the total number of integers, we calculate the difference between 21 and 130 and then add 1. Here is the formula and the math. Once again, a is the low number of 21 and b is the high number of 130:
Total = b - a + 1
Total = 130 - 21 + 1
Total Number = 110
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 21 to 130. 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 = 8305 ÷ 110
Average = 75.5
Average of Integers in a Sequence Calculator
Use this calculator to calculate the average of integers in a sequence.