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

Answer

To solve the problem step by step, we can follow these instructions:

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

### Step 2: Determine the increase in the mean
Since each observation is increased by 60%, we need to find out how this affects the mean. The mean will also increase by 60%.

### Step 3: Calculate 60% of the current mean
To find 60% of the mean (which is 32), we can use the formula:
\[ 60\% \text{ of } 32 = \frac{60}{100} \times 32 \]

### Step 4: Perform the calculation
Calculating \( \frac{60}{100} \times 32 \):
\[ = 0.6 \times 32 = 19.2 \]

### Step 5: Add the increase to the original mean
Now, we add this increase to the original mean:
\[ \text{New Mean} = \text{Original Mean} + \text{Increase} \]
\[ = 32 + 19.2 \]

### Step 6: Perform the final addition
Calculating \( 32 + 19.2 \):
\[ = 51.2 \]

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

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