What is the average of the integers from 35 to 154? Here we will show you how to calculate the average of the integers from 35 to 154.
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 35 to 154, we need to divide the sum of the integers from 35 and 154 by the total number of integers from 35 to 154. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 35 to 154 by using a formula where a is the low number of 35 and b is the high number of 154:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((154 - 35 + 1) ÷ 2) × (35 + 154)
Sum = (120 ÷ 2) × (189)
Sum = 60 × 189
Sum of Numbers = 11340
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 35 to 154. To calculate the total number of integers, we calculate the difference between 35 and 154 and then add 1. Here is the formula and the math. Once again, a is the low number of 35 and b is the high number of 154:
Total = b - a + 1
Total = 154 - 35 + 1
Total Number = 120
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 35 to 154. 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 = 11340 ÷ 120
Average = 94.5
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