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Which of the following procedures is always equivalent to

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Which of the following procedures is always equivalent to [#permalink] New post 25 Aug 2003, 20:39
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. Which of the following procedures is always equivalent to adding 5 given numbers and then dividing the sum by 5 ?
I. Multiplying the 5 numbers and then finding the 5th root of the product.
II. Adding the 5 numbers, doubling the sum, and then moving the decimal point one place to the left.
III. Ordering the 5 numbers numerically and then selecting the middle number

I say II and III but answer says only III??? who is right and why?
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 [#permalink] New post 25 Aug 2003, 22:54
I like II, but not III.

In II, you are essentially multiplying by 2 and then dividing by 10..which is the same as dividing my 5.

In III, this does not work if the numbers are not consecutive or evenly spaced.

So II only
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 [#permalink] New post 28 Aug 2003, 18:18
III does not work if the numbers are not consecutive.
  [#permalink] 28 Aug 2003, 18:18
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