The mean of 10 numbers is 20 . if 5 is subtracted for every number wha...
Mean of the 10 numbers
Given that the mean of the 10 numbers is 20, we can assume that the sum of all the numbers is 10 * 20 = 200.
Subtracting 5 from every number
If we subtract 5 from each of the 10 numbers, the new sum of all the numbers will be (10 * 20) - (10 * 5) = 200 - 50 = 150.
Number of elements and the new mean
Since we still have 10 numbers, the new mean can be calculated by dividing the new sum of all the numbers by the number of elements, which is 10. Therefore, the new mean is 150 / 10 = 15.
Explanation
When we subtract 5 from each number, we are effectively reducing the value of each number by 5. This means that the overall sum of the numbers will be reduced by 5 * 10 = 50. As a result, the new sum of all the numbers is 200 - 50 = 150.
Since the number of elements remains the same at 10, we can calculate the new mean by dividing the new sum of all the numbers (150) by the number of elements (10), which gives us a new mean of 15.
Summary
In summary, if we subtract 5 from every number in a set of 10 numbers with a mean of 20, the new mean will be 15. This is because subtracting 5 from each number reduces the overall sum of the numbers, and dividing this new sum by the number of elements gives us the new mean.
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