What is the average of the integers from 8 to 99? Here we will show you how to calculate the average of the integers from 8 to 99.
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 8 to 99, we need to divide the sum of the integers from 8 and 99 by the total number of integers from 8 to 99. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 8 to 99 by using a formula where a is the low number of 8 and b is the high number of 99:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((99 - 8 + 1) ÷ 2) × (8 + 99)
Sum = (92 ÷ 2) × (107)
Sum = 46 × 107
Sum of Numbers = 4922
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 8 to 99. To calculate the total number of integers, we calculate the difference between 8 and 99 and then add 1. Here is the formula and the math. Once again, a is the low number of 8 and b is the high number of 99:
Total = b - a + 1
Total = 99 - 8 + 1
Total Number = 92
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 8 to 99. 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 = 4922 ÷ 92
Average = 53.5
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