The mean and median of a data are respectively 20 and 22. The value of mode is:

Options

A. 20
B. 26
C. 22
D. 21

Answer

To find the mode of the given data where the mean is 20 and the median is 22, we can use the 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 given values**:
- Mean = 20
- Median = 22

2. **Substitute the values into the formula**:
\[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \]
\[ \text{Mode} = 3 \times 22 - 2 \times 20 \]

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

4. **Calculate \(2 \times 20\)**:
\[ 2 \times 20 = 40 \]

5. **Subtract the two results**:
\[ \text{Mode} = 66 - 40 \]
\[ \text{Mode} = 26 \]

### Final Answer:
The value of the mode is **26**.