All GMAT Math Resources
Example Questions
Example Question #21 : Calculating Median
Give the median of the set .
The median of an odd number of data values is the middle valie when the scores are arranged in descending order. Since the scores are arranged, the middle score, and the median, is .
Example Question #2095 : Problem Solving Questions
.
Give the median of the set .
and are both medians.
The median of an even number of data values is the arithmetic mean of the middle two when the scores are arranged in descending order. Here, the scores are in descending order, and the middle two scores are and , so the median is their arithmetic mean, or .
Example Question #22 : Calculating Median
Find the median of the following set of numbers:
To find the median, order the numbers from smallest to greatest and then find the one in the middle. Thus, the answer is .
Example Question #92 : Descriptive Statistics
Given five distinct positive integers - - which of them is the median?
Statement 1:
Statement 2:
BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.
STATEMENT 1 ALONE provides sufficient information to answer the question, but STATEMENT 2 ALONE does NOT provide sufficient information to answer the question.
STATEMENT 2 ALONE provides sufficient information to answer the question, but STATEMENT 1 ALONE does NOT provide sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
EITHER STATEMENT ALONE provides sufficient information to answer the question.
BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.
The median of five numbers (an odd number) is the number in the middle when they are arranged in ascending order.
Assume both statements. The orderings
,
, and
are all consistent with both statements. But in the first scenario, is the median; in the other two, is the median. Therefore, it cannot be determined which is the median.
Example Question #21 : Median
What do you need to know in order to determine the median of a data set with one hundred elements?
Both the highest and lowest elements
The fiftieth-highest element
The fiftieth-lowest element
Both the fiftieth-highest and fiftieth-lowest elements
All one hundred elements
Both the fiftieth-highest and fiftieth-lowest elements
The median of a dataset with an even number of elements is the arithmetic mean of the two elements that fall in the middle when the elements are arranged in ascending order. Since there are 100 elements and , this means the fiftieth-highest and fiftieth-lowest elements.