Answer:
- 16
Step-by-step explanation:
Average is calculated as
average = [tex]\frac{total}{count}[/tex]
Thus for the given 10 numbers we have
[tex]\frac{total}{10}[/tex] = - 5 ( multiply both sides by 10 )
total = - 50
let the number added be x, then
[tex]\frac{total+x}{11}[/tex] = - 6 ( multiply both sides by 11 )
total + x = - 66, that is
- 50 + x = - 66 ( add 50 to both sides )
x = - 16
The new number is - 16
