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If the average of 6 numbers is 12 and the average of 4 other numbers is 15, what
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?
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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?
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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.
Questions & Step-by-step Solutions
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Q: 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?
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.
Steps: 4
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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.
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