GMAT Math : DSQ: Calculating mode

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #1201 : Data Sufficiency Questions

What is the value of  in the list of numbers above?

(1) The mode of the numbers in the list is .

(2) .

Possible Answers:

Each Statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are not sufficient.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.

Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient.

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Correct answer:

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.

Explanation:

The mode is the value that appears most often in a set of data. In our list the value that appears most often is m+1. Therefore m+1 is the mode of the numbers in the list.

Only statement (1) is useful in finding the value of m as it states that the mode of the numbers in the list is 14.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.

 

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