GMAT Math : Arithmetic

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #2 : Mode

What is the mode for the following set:

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears most frequently:

Example Question #5 : Calculating Mode

Determine the mode of the following set of data:

Possible Answers:

Correct answer:

Explanation:

The mode of a set of data is the entry that appears most often within the set. One easy way to determine the mode is by arranging the set in increasing order:

    

Now that the set is arranged in increasing order, we can see how often each value appears in the set. The value 7 appears three times, which is more than any other entry is repeated, so this is the mode of the set.

Example Question #6 : Calculating Mode

Determine the mode of the following set of data:

Possible Answers:

Correct answer:

Explanation:

The mode of a set of data is the entry that occurs most often within the set. An easy way to determine which entry occurs the most often is by arranging the set in increasing order:

   

Now we can see that 29 is repeated more often than any other number in the set, so this is the mode.

Example Question #7 : Calculating Mode

Determine the mode of the following set of data:

Possible Answers:

Correct answer:

Explanation:

The mode of a set of data is the entry that appears most frequently within the set. An easy way to determine the mode is by arranging the set in increasing order:

Now we can see that the value of  is repeated more times than any other value, so this is the mode of the set of data.

Example Question #3 : Mode

Determine the mode for the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

The mode is the most frequent number, thus our answer is .

Example Question #4 : Mode

Find the mode of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

The mode is the most frequent number, thus the answer is .

Example Question #10 : Calculating Mode

Give the mode of the set .

Possible Answers:

The set has no mode.

Correct answer:

Explanation:

The mode of a set, if it exists, is the value that occurs most frequently. The inequality

means that the set

 

can be rewritten as

.

The most frequently occurring value is , making this the mode.

Example Question #101 : Descriptive Statistics

Find the mode of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

The mode is the most frequent number. Thus, our answer is .

Example Question #102 : Descriptive Statistics

.

Give the mode of the set .

Possible Answers:

Correct answer:

Explanation:

The mode of a set, if it exists, is the value that occurs most frequently. The inequality

means that the set

 

can be rewritten as

 and  occur as values twice each; the other values,  and , are unique. Therefore, the set has two modes,  and .

Example Question #103 : Descriptive Statistics

Which of these values is not a mode of the set  ?

Possible Answers:

Correct answer:

Explanation:

The mode of a set is the value that occurs most frequently in that set. Since 

, it follows that 

can be rewritten as

.

This makes  and  both modes, since both occur twice. Equivalently, since  and  and  are modes.

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