If the average of a set of numbers is 50 and the set contains 8 numbers, what is

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Question: If the average of a set of numbers is 50 and the set contains 8 numbers, what is the total sum of the numbers? (2023)

Options:

Correct Answer: 400

Exam Year: 2023

Solution:

Total sum = Average × Number of items = 50 × 8 = 400.

If the average of a set of numbers is 50 and the set contains 8 numbers, what is the total sum of the numbers? (2023)

If the average of a set of numbers is 50 and the set contains 8 numbers, what is the total sum of the numbers? (2023)

Step 1: Understand that the average of a set of numbers is calculated by dividing the total sum of the numbers by the number of items in the set.
Step 2: Identify the average given in the question, which is 50.
Step 3: Identify the number of items in the set, which is 8.
Step 4: Use the formula for total sum: Total sum = Average × Number of items.
Step 5: Substitute the values into the formula: Total sum = 50 × 8.
Step 6: Calculate the total sum: 50 × 8 = 400.

Average Calculation – Understanding that the average is the total sum of a set of numbers divided by the number of items in the set.
Multiplication – Applying multiplication to find the total sum from the average and the count of numbers.