Select the correct answerThe average of 10 numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers will be?Options7828419
Question
Select the correct answer
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:
- 7
- 28
- 41
- 9
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 this case, the average of 10 numbers is given as 7. This means that the total sum of all the numbers is 7 * 10 = 70.
If each number is multiplied by 12, the total sum of the numbers will also be multiplied by 12. So, the new total sum will be 70 * 12 = 840.
Since the count of numbers hasn't changed (it's still 10), the new average will be the new total sum divided by the count of numbers, which is 840 / 10 = 84.
So, the average of the new set of numbers will be 84.
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