GRE Math : Range
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Example Questions
Example Question #1 : How To Find Range
Quantitative Comparison
A set of numbers, Set A, has a mean of 4 and a standard deviation of 2. Another set, Set B, has a mean of 100 and a standard deviation of 20.
Quantity A: dispersion of numbers in Set A
Quantity B: dispersion of numbers in Set B
Quantity A is greater.
The relationship cannot be determined from the information given.
Quantity B is greater.
The two quantities are equal.
Quantity B is greater.
The standard deviation tells us how much variation, or dispersion, there is on average between the numbers in a set and their mean. Therefore Quantity B is greater, because Set B has a larger standard deviation than Set A.
Example Question #1 : Range
Find the range of the following set of numbers:
Cannot be determined.
The range is the difference between the largest and smallest numbers of a set. The biggest number is 15 and the smallest is 1, so our range is 15 – 1 = 14.
Example Question #2 : Range
Quantity A:
The sum of the median and mode of Set G
Quantity B:
The range of Set G
The two quantities are equal.
Quantity A is greater.
The relationship cannot be determined from the information given.
Quantity B is greater.
Quantity A is greater.
The median is the middle value in a set of numbers, and the mode is the number that occurs.
In Column A, the median is 6 and the mode is 6, so the sum of the median and the mode of Set G is 12.
The range is the difference between the highest and lowest numbers of the set.
In Column B, the range is 12 – 2 = 10.
Column A is greater than Column B.
Example Question #582 : Gre Quantitative Reasoning
Quantity A: The range of Set Q.
Quantity B: The median of Set Q.
Quantity A is greater.
The two quantities are equal.
The relationship cannot be determined.
Quantity B is greater.
The two quantities are equal.
The first step of this problem should be to reorder Set Q into numerical order:
The range of a set is the largest value minus the lowest value, so for this set, the range is
The median of a set depends on whether or not there is an even or odd amount of numbers in the set. For a set 
Odd:
Even:
Since there is an even number of numbers in this set, the median is
The two quantities are equal.
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