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If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what
Practice Questions
Q1
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?
13
14
15
16
Questions & Step-by-Step Solutions
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
Steps
Concepts
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.
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