GMAT Math : Median

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #88 : Descriptive Statistics

Give the median of the set .

Possible Answers:

Correct answer:

Explanation:

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 #81 : Descriptive Statistics

.

Give the median of the set .

Possible Answers:

 and  are both medians.

Correct answer:

Explanation:

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:

Possible Answers:

Correct answer:

Explanation:

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 #91 : Descriptive Statistics

Given five distinct positive integers -  - which of them is the median?

Statement 1: 

Statement 2: 

Possible Answers:

BOTH STATEMENTS TOGETHER do NOT provide 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.

EITHER STATEMENT ALONE provides sufficient information to answer the question.

BOTH STATEMENTS TOGETHER provide sufficient information to answer the question, but NEITHER STATEMENT ALONE provides sufficient information to answer the question.

Correct answer:

BOTH STATEMENTS TOGETHER do NOT provide sufficient information to answer the question.

Explanation:

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 : Calculating Median

What do you need to know in order to determine the median of a data set with one hundred elements?

Possible Answers:

Both the highest and lowest elements

All one hundred elements

Both the fiftieth-highest and fiftieth-lowest elements

The fiftieth-highest element

The fiftieth-lowest element

Correct answer:

Both the fiftieth-highest and fiftieth-lowest elements

Explanation:

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.

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