What is the average of the integers from 44 to 182? Here we will show you how to calculate the average of the integers from 44 to 182.
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 44 to 182, we need to divide the sum of the integers from 44 and 182 by the total number of integers from 44 to 182. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 44 to 182 by using a formula where a is the low number of 44 and b is the high number of 182:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((182 - 44 + 1) ÷ 2) × (44 + 182)
Sum = (139 ÷ 2) × (226)
Sum = 69.5 × 226
Sum of Numbers = 15707
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 44 to 182. To calculate the total number of integers, we calculate the difference between 44 and 182 and then add 1. Here is the formula and the math. Once again, a is the low number of 44 and b is the high number of 182:
Total = b - a + 1
Total = 182 - 44 + 1
Total Number = 139
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 44 to 182. 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 = 15707 ÷ 139
Average = 113
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