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choli [55]
3 years ago
10

The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 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

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