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Average of ten number is x if each Number is increased by 10% than x ?
  1. Remained unchanged
  2. May decreased
  3. May increased
  4. Is increased by 10%
Explanation

The average xx of ten positive numbers is:

x=Sum of the numbers10.x = frac{text{Sum of the numbers}}{10}.

If each number is increased by 10%, the new sum of the numbers becomes:

New sum=1.1×(Original sum).text{New sum} = 1.1 times (text{Original sum}).

The new average is:

New average=New sum10=1.1×(Original sum)10=1.1×x.text{New average} = frac{text{New sum}}{10} = frac{1.1 times (text{Original sum})}{10} = 1.1 times x.

This shows that the average xx also increases by 10%.

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