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Set S: {5, 10, 15} If the number 15 were removed from set S
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28 Jul 2018, 16:21

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Question Stats:

Set S: {5, 10, 15}

If the number 15 were removed from set S and replaced with the number 1,000, which of the following values would change?

Indicate all such values.

A. The mean of the set

B. The median of the set

C. The standard deviation of the set

If the number 15 were removed from set S and replaced with the number 1,000, which of the following values would change?

Indicate all such values.

A. The mean of the set

B. The median of the set

C. The standard deviation of the set

Re: Set S: {5, 10, 15} If the number 15 were removed from set S
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11 Aug 2018, 14:10

1

The median isn't affected by outliers. It would still be 10, as 10 is the middle value. Mean and standard deviation are. So the answer is A and C.

Re: Set S: {5, 10, 15} If the number 15 were removed from set S
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12 Aug 2018, 16:14

Expert Reply

Explanation

The word mean is a synonym for the average. Because an average is calculated by taking the sum of the terms in the set and dividing by the number of numbers in the set, changing any one number in a set (without adjusting the others) will change the sum and, therefore, the average.

The median is the middle number in a set, so making the biggest number even bigger won’t change that (the middle number is still 10). Standard deviation is a measure of how spread out the numbers in a set are—the more spread out the numbers, the larger the standard deviation—so making the biggest number really far away from the others would greatly increase the standard deviation.

The word mean is a synonym for the average. Because an average is calculated by taking the sum of the terms in the set and dividing by the number of numbers in the set, changing any one number in a set (without adjusting the others) will change the sum and, therefore, the average.

The median is the middle number in a set, so making the biggest number even bigger won’t change that (the middle number is still 10). Standard deviation is a measure of how spread out the numbers in a set are—the more spread out the numbers, the larger the standard deviation—so making the biggest number really far away from the others would greatly increase the standard deviation.

Re: Set S: {5, 10, 15} If the number 15 were removed from set S
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04 Jul 2024, 12:56

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Set S: {5, 10, 15} If the number 15 were removed from set S [#permalink]

04 Jul 2024, 12:56
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