What is the average of the integers from 4 to 167? Here we will show you how to calculate the average of the integers from 4 to 167.
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 167, we need to divide the sum of the integers from 4 and 167 by the total number of integers from 4 to 167. 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 167 by using a formula where a is the low number of 4 and b is the high number of 167:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((167 - 4 + 1) ÷ 2) × (4 + 167)
Sum = (164 ÷ 2) × (171)
Sum = 82 × 171
Sum of Numbers = 14022
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 4 to 167. To calculate the total number of integers, we calculate the difference between 4 and 167 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 167:
Total = b - a + 1
Total = 167 - 4 + 1
Total Number = 164
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 4 to 167. 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 = 14022 ÷ 164
Average = 85.5
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