What is the average of the integers from 4 to 103? Here we will show you how to calculate the average of the integers from 4 to 103.
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 4 to 103, we need to divide the sum of the integers from 4 and 103 by the total number of integers from 4 to 103. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 4 to 103 by using a formula where a is the low number of 4 and b is the high number of 103:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((103 - 4 + 1) ÷ 2) × (4 + 103)
Sum = (100 ÷ 2) × (107)
Sum = 50 × 107
Sum of Numbers = 5350
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 4 to 103. To calculate the total number of integers, we calculate the difference between 4 and 103 and then add 1. Here is the formula and the math. Once again, a is the low number of 4 and b is the high number of 103:
Total = b - a + 1
Total = 103 - 4 + 1
Total Number = 100
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 4 to 103. 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 = 5350 ÷ 100
Average = 53.5
Average of Integers in a Sequence Calculator
Use this calculator to calculate the average of integers in a sequence.