Question : The average of two numbers is 8, and the average of the other three numbers is 3. The average of the five numbers is:
Option 1: 2
Option 2: 3
Option 3: 5
Option 4: 6
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Correct Answer: 5
Solution :
Given:
The average of two numbers = 8
The average of three numbers = 3
According to the question,
Sum of two numbers = 2 × 8 = 16
Sum of three numbers = 3 × 3 = 9
Sum of five numbers = 16 + 9 = 25
Average value = $\frac{\text{Sum of values}}{\text{Number of values}}$
$\therefore$ Average of five numbers = $\frac{\text{25}}{\text{5}}$
Hence, the correct answer is 5.
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