. The average of six numbers is 4. If the average of two of those numbers is 2, what is theaverage of the other four numbers?
Question
. The average of six numbers is 4. If the average of two of those numbers is 2, what is theaverage of the other four numbers?
Solution
Step 1: Understand that the average of a set of numbers is the sum of those numbers divided by the count of numbers.
Step 2: Calculate the total sum of the six numbers. Since the average is 4, and there are 6 numbers, the total sum is 4 * 6 = 24.
Step 3: Calculate the total sum of the two numbers with an average of 2. Since the average is 2, and there are 2 numbers, the total sum is 2 * 2 = 4.
Step 4: Subtract the sum of the two numbers from the total sum of all six numbers to find the sum of the other four numbers. So, 24 - 4 = 20.
Step 5: Calculate the average of the remaining four numbers by dividing the sum by the count of numbers. So, 20 / 4 = 5.
Therefore, the average of the other four numbers is 5.
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