Average of 36 results is 18. If 2 is subtracted from each result, then what will be the new average of the results?

Options

A. 9
B. 16
C. 17
D. `17.5`

Answer

To solve the problem step by step, we need to find the new average after subtracting 2 from each of the 36 results.

### Step 1: Calculate the total sum of the original results.
The average of the 36 results is given as 18. The formula for average is:

\[ \text{Average} = \frac{\text{Sum of results}}{\text{Number of results}} \]

Rearranging this formula gives us:

\[ \text{Sum of results} = \text{Average} \times \text{Number of results} \]

Substituting the values we have:

\[ \text{Sum of results} = 18 \times 36 \]

Calculating this gives:

\[ \text{Sum of results} = 648 \]

### Step 2: Calculate the new sum after subtracting 2 from each result.
If we subtract 2 from each of the 36 results, the total amount subtracted will be:

\[ \text{Total subtracted} = 2 \times 36 = 72 \]

Now, we subtract this from the original sum:

\[ \text{New sum} = 648 - 72 = 576 \]

### Step 3: Calculate the new average.
Now, we can find the new average using the new sum:

\[ \text{New average} = \frac{\text{New sum}}{\text{Number of results}} = \frac{576}{36} \]

Calculating this gives:

\[ \text{New average} = 16 \]

### Conclusion
The new average after subtracting 2 from each result is **16**.