If the average of a set of numbers is 50 and the set contains 10 numbers, what i

If the average of a set of numbers is 50 and the set contains 10 numbers, what is the total of all the numbers in the set? (2023)

If the average of a set of numbers is 50 and the set contains 10 numbers, what is the total of all the numbers in the set? (2023)

Step 1: Understand that the average of a set of numbers is calculated by adding all the numbers together and then dividing by the number of items in the set.
Step 2: In this case, we know the average is 50.
Step 3: We also know there are 10 numbers in the set.
Step 4: To find the total of all the numbers, we can use the formula: Total = Average × Number of items.
Step 5: Substitute the values into the formula: Total = 50 × 10.
Step 6: Calculate the total: 50 × 10 = 500.

Average Calculation – Understanding that the average is calculated by dividing the total sum of a set of numbers by the number of items in that set.
Multiplication for Total – Using multiplication to find the total sum by multiplying the average by the number of items.