If the mean and median are 25 and 28 respectively, then find the value of the mode.

Options

A. 35
B. 34
C. 36
D. 134

Answer

To find the value of the mode when the mean and median are given, we can use the relationship between mean, median, and mode.

### Step-by-Step Solution:

1. **Identify the given values**:
- Mean (M) = 25
- Median (Md) = 28

2. **Use the relationship between mean, median, and mode**:
The formula to find the mode (Mo) is:
\[ Mo = 3 \times Md - 2 \times M \]

3. **Substitute the values into the formula**:
\[ Mo = 3 \times 28 - 2 \times 25 \]

4. **Calculate \(3 \times 28\)**:
\[ 3 \times 28 = 84 \]

5. **Calculate \(2 \times 25\)**:
\[ 2 \times 25 = 50 \]

6. **Subtract the two results**:
\[ Mo = 84 - 50 = 34 \]

7. **Conclusion**:
The value of the mode is 34.

### Final Answer:
Mode = 34