The average of 5 quantities is 6 and the average of 3 quantities is 8 what is the average of remaining 2 quantities?

Question

Answer

Understanding the Problem
To find the average of the remaining 2 quantities, we first need to calculate the sums of the known quantities based on the provided averages.

Calculating the Sum of the First 5 Quantities
- The average of 5 quantities is 6.
- Thus, the sum of these 5 quantities can be calculated as:

Sum = Average × Number of Quantities
Sum = 6 × 5 = 30

Calculating the Sum of the Next 3 Quantities
- The average of 3 quantities is 8.
- Therefore, the sum of these 3 quantities is:

Sum = Average × Number of Quantities
Sum = 8 × 3 = 24

Finding the Total and Remaining Quantities
- Now, we find the total sum of all 8 quantities (5 + 3).

Total Sum = Sum of 5 quantities + Sum of 3 quantities
Total Sum = 30 + 24 = 54

Calculating the Sum of the Remaining 2 Quantities
- The sum of the remaining 2 quantities can be calculated by subtracting the sums of the first 8 quantities from the total:

Sum of Remaining 2 Quantities = Total Sum - (Sum of 5 + Sum of 3)
Sum of Remaining 2 Quantities = 54 - (30 + 24) = 54 - 54 = 0

Finding the Average of the Remaining 2 Quantities
- Since the sum of the remaining 2 quantities is 0:

Average = Sum of Remaining Quantities / Number of Remaining Quantities
Average = 0 / 2 = 0

Conclusion
The average of the remaining 2 quantities is **0**.

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