What is the average of all of the integers from 17 to 55?
Well, finding the average of all integers from 17 to 55 would be quite a task! It's like trying to make a clown balance on a unicycle holding a stack of pies. But fear not, my estimation skills are as sharp as a juggling pin! Since we have 39 integers in total, the average would be somewhere around the middle, like a circus tightrope walker. Adding 17 to 55 gives us 72, and dividing by 2 (since there are two numbers on the ends) gives us 36.
So, if my calculations aren't clowning around, the average should be about 36!
To find the average of a set of numbers, you need to add up all the numbers and then divide the sum by the total count of numbers.
Step 1: Find the total count of numbers from 17 to 55.
To find the count, subtract the starting number from the ending number and then add 1.
55 - 17 + 1 = 39
So, there are 39 numbers from 17 to 55.
Step 2: Find the sum of all the numbers.
To find the sum, multiply the average of the first and last numbers by the count of numbers and then divide by 2.
Sum = (First number + Last number) * Count / 2
Sum = (17 + 55) * 39 / 2
Sum = 72 * 39 / 2
Sum = 2808 / 2
Sum = 1404
Step 3: Find the average.
To find the average, divide the sum by the count of numbers.
Average = Sum / Count
Average = 1404 / 39
Average ≈ 36
Therefore, the average of all the integers from 17 to 55 is approximately 36.
To find the average of a set of numbers, you need to add up all the numbers and then divide the sum by the count of numbers.
In this case, we have the integers from 17 to 55, inclusive. To calculate the sum of the integers, we can use the formula for the sum of an arithmetic series:
Sum = (n/2) * (first term + last term),
where n is the count of numbers, and the first and last terms are the starting and ending integers.
Count of numbers = 55 - 17 + 1 = 39 (since we include both 17 and 55),
First term = 17,
Last term = 55.
Substituting these values into the formula, we get:
Sum = (39/2) * (17 + 55) = (39/2) * 72 = 1404.
Now that we have the sum of the integers, we can calculate the average by dividing the sum by the count of numbers:
Average = Sum / Count of numbers = 1404 / 39 = 36.
Therefore, the average of all the integers from 17 to 55 is 36.
the sum of all 39 of the numbers is
39/2 (17+55)
so, divide that by 39 to get the average.