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

Options

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

Answer

To find the new average after subtracting 2 from each of the 36 results, we can follow these steps:

### Step 1: Calculate the original sum of the results
The average of the results is given as 18, and the number of results is 36.

To find the total sum of the results, we use the formula:
\[ \text{Sum} = \text{Average} \times \text{Number of Results} \]
Substituting the values:
\[ \text{Sum} = 18 \times 36 = 648 \]

### Step 2: Calculate the total amount subtracted
If we subtract 2 from each of the 36 results, the total amount subtracted can be calculated as:
\[ \text{Total Subtracted} = 2 \times 36 = 72 \]

### Step 3: Calculate the new sum of the results
Now, we subtract the total amount subtracted from the original sum:
\[ \text{New Sum} = \text{Original Sum} - \text{Total Subtracted} \]
Substituting the values:
\[ \text{New Sum} = 648 - 72 = 576 \]

### Step 4: Calculate the new average
To find the new average, we divide the new sum by the number of results:
\[ \text{New Average} = \frac{\text{New Sum}}{\text{Number of Results}} = \frac{576}{36} \]
Calculating this gives:
\[ \text{New Average} = 16 \]

### Final Answer
The new average of the results after subtracting 2 from each result is **16**.

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