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WE: Manufacturing and Production (Pharmaceuticals and Biotech)

Set A consists of a series of unique numbers. When added together, the [#permalink]

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25 Nov 2014, 20:44

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Set A consists of a series of unique numbers. When added together, the numbers of Set A total 140. How many of the numbers within the set are above the median?

(1) The average of the set of numbers is equal to its median. (2) The average of the set of numbers is equal to 28.

Re: Set A consists of a series of unique numbers. When added together, the [#permalink]

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25 Nov 2014, 21:40

anceer wrote:

Set A consists of a series of unique numbers. When added together, the numbers of Set A total 140. How many of the numbers within the set are above the median?

1. The average of the set of numbers is equal to its median. 2. The average of the set of numbers is equal to 28.

try to get the twist

Statement 1: We don't know much about the average. So not sufficient to solve.

Statement 2: If Average=28. Let n be the total number in the set.

We are given the sum of numbers, we know that sum divided by total number(n) will equal average.

So \(\frac{140}{n}= 28\) ,

Now,

\(\frac{140}{28}= n\) => \(n=5\).

We now know the total number of numbers in the set.

Set A consists of a series of unique numbers. When added together, the numbers of Set A total 140. How many of the numbers within the set are above the median?

1. The average of the set of numbers is equal to its median. 2. The average of the set of numbers is equal to 28.

try to get the twist

Statement 1: We don't know much about the average. So not sufficient to solve.

Statement 2: If Average=28. Let n be the total number in the set.

We are given the sum of numbers, we know that sum divided by total number(n) will equal average.

So \(\frac{140}{n}= 28\) ,

Now,

\(\frac{140}{28}= n\) => \(n=5\).

We now know the total number of numbers in the set.

Set A consists of a series of unique numbers. When added together, the [#permalink]

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26 Nov 2014, 09:39

Hi Gnpth

How did you come up with the following assumption?

let x be the median. And,

x-2, x-1, x, x+1, x+2 be the numbers.

Since we are given in the question that Set A consists of a series of unique numbers, but we are not given that those unique numbers are consecutive numbers, if they are not consecutive numbers, the series might be different

You don't need to assume that the numbers are consecutive. If you know there are 5 numbers and they're all different ("unique"), by definition two of them will be greater than the median.

In addition to the consecutive set, we could have any of these:

Re: Set A consists of a series of unique numbers. When added together, the [#permalink]

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