In an asymmetrical distribution mean is 58 and median is 61. Find mode.

Answer

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

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

Given:
- Mean = 58
- Median = 61

Let's calculate the mode step by step.

### Step 1: Substitute the values into the formula

\[ \text{Mode} = 3 \times 61 - 2 \times 58 \]

### Step 2: Calculate \(3 \times 61\)

\[ 3 \times 61 = 183 \]

### Step 3: Calculate \(2 \times 58\)

\[ 2 \times 58 = 116 \]

### Step 4: Substitute the calculated values back into the equation

\[ \text{Mode} = 183 - 116 \]

### Step 5: Perform the subtraction

\[ \text{Mode} = 67 \]

Thus, the mode of the asymmetrical distribution is **67**.

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