The average of the integers from 51 to 59




What is the average of the integers from 51 to 59? Here we will show you how to calculate the average of the integers from 51 to 59.

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 51 to 59, we need to divide the sum of the integers from 51 and 59 by the total number of integers from 51 to 59. Here are step-by-step instructions:

Step 1) Calculate Sum of Numbers
First, we calculate the sum of all the integers (whole numbers) from 51 to 59 by using a formula where a is the low number of 51 and b is the high number of 59:

Sum = ((b - a + 1) ÷ 2) × (a + b)
Sum = ((59 - 51 + 1) ÷ 2) × (51 + 59)
Sum = (9 ÷ 2) × (110)
Sum = 4.5 × 110
Sum of Numbers = 495

Step 2) Calculate Total Number
Next, we calculate the total number of integers from 51 to 59. To calculate the total number of integers, we calculate the difference between 51 and 59 and then add 1. Here is the formula and the math. Once again, a is the low number of 51 and b is the high number of 59:

Total = b - a + 1
Total = 59 - 51 + 1
Total Number = 9

Step 3) Calculate the Average
Now we have both pieces needed to calculate the average of the integers from 51 to 59. 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 = 495 ÷ 9
Average = 55


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