If the median and mean of moderately asymmetrical frequency distribution are 72 and 74 respectively, then the mode is

Options

A. 68
B. 76
C. 75
D. 70

Answer

To find the mode of a moderately asymmetrical frequency distribution when the median and mean are given, we can use the formula:

\[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \]

### Step-by-Step Solution:

1. **Identify the given values**:
- Median = 72
- Mean = 74

2. **Substitute the values into the formula**:
\[ \text{Mode} = 3 \times 72 - 2 \times 74 \]

3. **Calculate \(3 \times 72\)**:
\[ 3 \times 72 = 216 \]

4. **Calculate \(2 \times 74\)**:
\[ 2 \times 74 = 148 \]

5. **Subtract the two results**:
\[ \text{Mode} = 216 - 148 \]

6. **Final calculation**:
\[ \text{Mode} = 68 \]

### Conclusion:
The mode of the distribution is **68**.