Mode = 3 _______ `-2` ______

Answer

To solve the equation for the mode given by the formula:

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

we can follow these steps:

### Step 1: Write down the formula
The formula for mode in terms of median and mean is:

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

### Step 2: Substitute the given value for Mode
We know that Mode = 3. Therefore, we can substitute this value into the formula:

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

### Step 3: Rearrange the equation
To isolate the terms involving Median and Mean, we can rearrange the equation:

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

### Step 4: Solve for Median and Mean
At this point, we have one equation with two unknowns (Median and Mean). To find specific values, we would need additional information about either the Median or the Mean. However, we can express one variable in terms of the other.

For example, if we express Mean in terms of Median:

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

Dividing both sides by 2 gives:

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

### Conclusion
Without additional information about either the Median or the Mean, we cannot find unique values for both. However, we have established a relationship between them.