Given:
- The average of five numbers is 20.
To find:
- The new average if each number is multiplied by 2.
Solution:
- The average of five numbers is 20, so the sum of the five numbers is:
Sum=Average×Number of values=20×5=100\text{Sum}=\text{Average}\times \text{Number of values}=20\times 5=100Sum=Average×Number of values=20×5=100
- If each number is multiplied by 2, the new sum will be:
100×2=200100\times 2=200100×2=200
- The new average will be:
New sumNumber of values=2005=40\frac{\text{New sum}}{\text{Number of values}}=\frac{200}{5}=40Number of valuesNew sum=5200=40
Final answer:
The new average will be 40.
