If the sum is 240 and average is 40, find the number of quantities.

Options

A. 5
B. 2
C. 3
D. 6

Answer

To find the number of quantities given the sum and average, we can use the formula for average:

1. **Understand the formula for average**:
\[ \text{Average} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]

2. **Rearranging the formula**:
To find the number of quantities (let's denote it as \( n \)), we can rearrange the formula:
\[ n = \frac{\text{Sum}}{\text{Average}} \]

3. **Substituting the given values**:
We have the sum as 240 and the average as 40. Substituting these values into the rearranged formula gives:
\[ n = \frac{240}{40} \]

4. **Calculating the number of quantities**:
Now, we perform the division:
\[ n = 6 \]

5. **Conclusion**:
Therefore, the number of quantities is \( 6 \).