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The average of 10 numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers will be?Options8419782

Question

The average of 10 numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers will be?

Options:

  • 84
  • 197
  • 82
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Solution

The average of a set of numbers is found by adding all the numbers in the set and then dividing by the count of numbers in the set.

In this case, the average of the 10 numbers is given as 7. This means that the sum of all the 10 numbers is 7 * 10 = 70.

If each number is multiplied by 12, the sum of the new set of numbers will be 70 * 12 = 840.

Since the count of numbers is still 10, the average of the new set of numbers will be 840 / 10 = 84.

So, the average of the new set of numbers will be 84.

This problem has been solved

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