What is the average of the integers from 27 to 165? Here we will show you how to calculate the average of the integers from 27 to 165.
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 27 to 165, we need to divide the sum of the integers from 27 and 165 by the total number of integers from 27 to 165. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 27 to 165 by using a formula where a is the low number of 27 and b is the high number of 165:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((165 - 27 + 1) ÷ 2) × (27 + 165)
Sum = (139 ÷ 2) × (192)
Sum = 69.5 × 192
Sum of Numbers = 13344
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 27 to 165. To calculate the total number of integers, we calculate the difference between 27 and 165 and then add 1. Here is the formula and the math. Once again, a is the low number of 27 and b is the high number of 165:
Total = b - a + 1
Total = 165 - 27 + 1
Total Number = 139
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 27 to 165. 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 = 13344 ÷ 139
Average = 96
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