What is the average of the integers from 3 to 10? Here we will show you how to calculate the average of the integers from 3 to 10.
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 3 to 10, we need to divide the sum of the integers from 3 and 10 by the total number of integers from 3 to 10. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 3 to 10 by using a formula where a is the low number of 3 and b is the high number of 10:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((10 - 3 + 1) ÷ 2) × (3 + 10)
Sum = (8 ÷ 2) × (13)
Sum = 4 × 13
Sum of Numbers = 52
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 3 to 10. To calculate the total number of integers, we calculate the difference between 3 and 10 and then add 1. Here is the formula and the math. Once again, a is the low number of 3 and b is the high number of 10:
Total = b - a + 1
Total = 10 - 3 + 1
Total Number = 8
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 3 to 10. 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 = 52 ÷ 8
Average = 6.5
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