If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what

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Question: If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?

Options:

Correct Answer: 14

Solution:

Total of first 6 numbers = 6 * 12 = 72. Total of next 4 numbers = 4 * 15 = 60. Combined total = 72 + 60 = 132. Average = 132 / 10 = 13.2.

If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?

If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what is the average of all 10 numbers?

Correct Answer: 13.2

Step 1: Calculate the total of the first 6 numbers. Since the average is 12, multiply 6 by 12. This gives you 72.
Step 2: Calculate the total of the next 4 numbers. Since the average is 15, multiply 4 by 15. This gives you 60.
Step 3: Add the total of the first 6 numbers (72) to the total of the next 4 numbers (60). This gives you a combined total of 132.
Step 4: To find the average of all 10 numbers, divide the combined total (132) by the total number of numbers (10). This gives you 13.2.

Averages – Understanding how to calculate the average of a set of numbers by using the total sum and the count of numbers.
Total Calculation – Calculating the total of a group of numbers based on their average and the number of elements.