The arithmetic mean (average) of a set of consecutive whole numbers is always the middle number. This is because the numbers on either side of the middle number balance each other out.

In this case, we have nine consecutive whole numbers, so the middle number is the fifth one. We're told that the arithmetic mean of these numbers is 2006, so the fifth number is 2006.

Since the numbers are consecutive, the largest number in the set is four places to the right of the middle number. So, we just add 4 to the middle number to get the largest number: 2006 + 4 = 2010.

So, the largest of these nine numbers is 2010, which corresponds to answer choice C.

Question

The arithmetic mean (average) of a set of consecutive whole numbers is always the middle number. This is because the numbers on either side of the middle number balance each other out.

In this case, we have nine consecutive whole numbers, so the middle number is the fifth one. We're told that the arithmetic mean of these numbers is 2006, so the fifth number is 2006.

Since the numbers are consecutive, the largest number in the set is four places to the right of the middle number. So, we just add 4 to the middle number to get the largest number: 2006 + 4 = 2010.

So, the largest of these nine numbers is 2010, which corresponds to answer choice C.

Knowee AI · Accepted Answer

The arithmetic mean (average) of a set of consecutive whole numbers is always the middle number. This is because the numbers on either side of the middle number balance each other out.

In this case, we have nine consecutive whole numbers, so the middle number is the fifth one. We're told that the arithmetic mean of these numbers is 2006, so the fifth number is 2006.

Since the numbers are consecutive, the largest number in the set is four places to the right of the middle number. So, we just add 4 to the middle number to get the largest number: 2006 + 4 = 2010.

So, the largest of these nine numbers is 2010, which corresponds to answer choice C.

The arithmetic mean of nine consecutive whole numbers equals 2006. The largest of these nine numbers isA. 2007B. 2009C. 2010D. 2011E. 2012

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