The mean of 15 observations is 32. Find the resulting mean, if each observation is :
increased by `60%`

Answer

To find the resulting mean when each observation is increased by 60%, we can follow these steps:

### Step 1: Understand the given information
We know that the mean of 15 observations is 32.

### Step 2: Calculate the increase in the mean
To find the new mean after increasing each observation by 60%, we can calculate the increase in the mean as follows:

\[ \text{Increase} = \text{Mean} \times \frac{60}{100} = 32 \times 0.6 \]

### Step 3: Perform the calculation
Now, we calculate the increase:

\[ \text{Increase} = 32 \times 0.6 = 19.2 \]

### Step 4: Find the new mean
Now, we add the increase to the original mean:

\[ \text{New Mean} = \text{Original Mean} + \text{Increase} = 32 + 19.2 \]

### Step 5: Perform the final calculation
Now, we calculate the new mean:

\[ \text{New Mean} = 32 + 19.2 = 51.2 \]

### Final Answer
The resulting mean after increasing each observation by 60% is **51.2**.

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