What is the average of the integers from 10 to 20? Here we will show you how to calculate the average of the integers from 10 to 20.
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 10 to 20, we need to divide the sum of the integers from 10 and 20 by the total number of integers from 10 to 20. Here are step-by-step instructions:
Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 10 to 20 by using a formula where a is the low number of 10 and b is the high number of 20:
Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((20 - 10 + 1) ÷ 2) × (10 + 20)
Sum = (11 ÷ 2) × (30)
Sum = 5.5 × 30
Sum of Numbers = 165
Step 2) Calculate Total Number
Next, we calculate the total number of integers from 10 to 20. To calculate the total number of integers, we calculate the difference between 10 and 20 and then add 1. Here is the formula and the math. Once again, a is the low number of 10 and b is the high number of 20:
Total = b - a + 1
Total = 20 - 10 + 1
Total Number = 11
Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 10 to 20. 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 = 165 ÷ 11
Average = 15
Average of Integers in a Sequence Calculator
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