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 Post subject: GRE Statistics Posted: Tue Dec 18, 2012 8:26 am Joined: Sun May 30, 2010 3:15 am
Posts: 424
Given the two lists:
List 1: 7, 8, 12, 15
List 2: 2, 10, 10, 13, 18

Indicate ALL correct answers.

The mean of List 1 > The mean of List 2
The median of List 1 > The mode of List 2
The standard deviation of List 1 > The standard deviation of List 2
The range of List 1 > The range of List 2
None of these is true.
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The correct answer is None of these is true.

First, remember the definitions.
Mean (average) – sum of all elements of a set divided by the number of the elements.

Median – if the number of the elements in a set is odd, then it is the middle number of the set arranged in ascending or descending order;
if the number of the elements in the set is even, then it is the average of the two numbers in the middle of the arranged set.

Mode – the element(s) that appears most frequently.

Range – The largest element minus the smallest.

Let's look at each choice.

Choice A:
the mean of List 1 is (7 + 8 + 12 + 15)/4 = 42/4 = 10.5, and the mean of List 2 is (2 + 10 + 10 + 13 + 18)/5 = 53/5 = 10.6.
False.

Choice B:
The median of List 1 is (8 + 12)/2 = 10, and the mode of List 2 is 10.
False.

Choice C:
It is not necessary to calculate the standard deviation. Just note that the data are much more spread about List 2, so its standard deviation is greater.
False.

Choice D:
The range of List 1 is (15 – 7) = 8 and the range of List 2 = (18 – 2) = 16.
False.

All of the first 4 answer choices are false. Therefore, Choice E, none of these is true, is correct.
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The median of List 1 is 11.

Top Post subject: Re: GRE Statistics Posted: Tue Dec 18, 2012 8:34 am Joined: Sun May 30, 2010 2:23 am
Posts: 498

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