GRE Math : Statistics
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Example Questions
Example Question #1 : Mode
A survey has shown that the number of children that newlyweds plan to have is 
To solve this problem, we must be clear on the definition of the mode of a set of numbers. The mode is defined as the number that occurs the most frequently within a set of numbers. In this case, we can see that the number 1 occurs 3 times, the number 2 occurs 4 times, the number 3 occurs 3 times, the number 4 occurs 2 times and the number 5 occurs only one time. Therefore the mode of this survey is 2.
Example Question #51 : Statistics
Quantity A: The mode of
Quantity B: The median of
The two quantities are equal.
The relationship cannot be determined.
Quantity B is greater.
Quantity A is greater.
The two quantities are equal.
Begin by organizing the set in numerical order
The mode is the value which repeats the most, so
Quantity A:
Now, since there are an even number of values, the median is the average of the two middle values:
Quantity B:
The two quantities are equal.
Example Question #4 : Mode
What is the mode of the following set of numbers?
The mode is the most occuring value in a set. 
Example Question #1 : 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.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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 : How To Find 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 : How To Find Range
Quantity A:
The sum of the median and mode of Set G
Quantity B:
The range of Set G
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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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