If the mode is 8 and mean is also 8 then median will be _______

Answer

To find the median when the mode and mean are both given as 8, we can use the relationship between mode, median, and mean. The formula that connects these three measures of central tendency is:

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

### Step-by-Step Solution:

1. **Identify the given values**:
- Mode = 8
- Mean = 8

2. **Substitute the values into the formula**:
\[ 8 = 3 \times \text{Median} - 2 \times 8 \]

3. **Calculate \(2 \times \text{Mean}\)**:
\[ 2 \times 8 = 16 \]

4. **Rewrite the equation**:
\[ 8 = 3 \times \text{Median} - 16 \]

5. **Add 16 to both sides to isolate the term with the median**:
\[ 8 + 16 = 3 \times \text{Median} \]
\[ 24 = 3 \times \text{Median} \]

6. **Divide both sides by 3 to solve for the median**:
\[ \text{Median} = \frac{24}{3} = 8 \]

### Final Answer:
The median is **8**.