If mean = 28 and median = 30, then find the mode.

Options

A. 32
B. 34
C. 36
D. 38

Answer

To find the mode when the mean and median are given, we can use the formula:

**Mode = 3 * Median - 2 * Mean**

Given:
- Mean = 28
- Median = 30

Let's calculate the mode step by step.

### Step 1: Substitute the values into the formula
We start by substituting the values of the mean and median into the formula for mode.

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

Substituting the values:

\[ \text{Mode} = 3 \times 30 - 2 \times 28 \]

### Step 2: Calculate \(3 \times 30\)
Now, calculate \(3 \times 30\):

\[ 3 \times 30 = 90 \]

### Step 3: Calculate \(2 \times 28\)
Next, calculate \(2 \times 28\):

\[ 2 \times 28 = 56 \]

### Step 4: Substitute back into the equation
Now, substitute these results back into the equation for mode:

\[ \text{Mode} = 90 - 56 \]

### Step 5: Calculate the final result
Finally, subtract \(56\) from \(90\):

\[ \text{Mode} = 34 \]

Thus, the mode is **34**.

### Summary
- Mean = 28
- Median = 30
- Mode = 34