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The average of 9 numbers is 14. If each number is increased by 4, the new average will be

Question

The average of 9 numbers is 14.

If each number is increased by 4, the new average will be

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Solution

The new average will be 18.

Here's the step by step explanation:

  1. The average of a set of numbers is calculated by adding all the numbers together and then dividing by the quantity of numbers. In this case, the average of 9 numbers is 14, which means the total sum of these numbers is 9 * 14 = 126.

  2. If each number is increased by 4, the total sum of the numbers will increase by 4 * 9 = 36. So, the new total sum is 126 + 36 = 162.

  3. The new average is then calculated by dividing the new total sum by the quantity of numbers. So, the new average is 162 / 9 = 18.

This problem has been solved

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