Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all

Options

A. `15.5`
B. 15
C. 16
D. Can't be computed

Answer

To find the average age of all students in the class, we need to consider the average ages of boys and girls separately, but we also need to know the number of boys and girls to compute the overall average. Here’s a step-by-step solution:

### Step 1: Identify the given information
- Average age of boys (A1) = 16 years
- Average age of girls (A2) = 15 years

### Step 2: Understand the formula for average
The average age of all students can be calculated using the formula:
\[ \text{Average} = \frac{(N1 \times A1) + (N2 \times A2)}{N1 + N2} \]
where:
- \(N1\) = number of boys
- \(N2\) = number of girls

### Step 3: Analyze the information provided
In this problem, we are not given the values of \(N1\) (number of boys) and \(N2\) (number of girls). Without these values, we cannot compute the total average.

### Step 4: Conclusion
Since we do not have the number of boys and girls, we cannot compute the average age of all students in the class. Therefore, the answer is that it cannot be computed.

### Final Answer
The correct option is D: cannot be computed.

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