If in a frequency distribution, the mean and median are `21 and 22` respectively, then its mode is approximately.

Options

A. `22.0`
B. `20.5`
C. `25.5`
D. `24.0`

Explanation

To find the mode of a frequency distribution when the mean and median are given, we can use the empirical relationship between mean, median, and mode. The formula we will use is:

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

### Step-by-step Solution:

1. **Identify the values given**:
- Mean = 21
- Median = 22

2. **Substitute the values into the formula**:
\[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \]
\[ \text{Mode} = 3 \times 22 - 2 \times 21 \]

3. **Calculate \(3 \times 22\)**:
\[ 3 \times 22 = 66 \]

4. **Calculate \(2 \times 21\)**:
\[ 2 \times 21 = 42 \]

5. **Subtract the two results**:
\[ \text{Mode} = 66 - 42 \]
\[ \text{Mode} = 24 \]

Thus, the mode of the frequency distribution is approximately **24**.

### Final Answer:
The mode is approximately **24**.