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 given the mean and median, we can use the relationship between these three measures of central tendency. 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**.