### All GRE Math Resources

## Example Questions

### Example Question #1 : Mode

Find the mode of the following set of numbers:

4,6,12,9,12,90,12,18,12,12,12,4,4,4,9,7,76

**Possible Answers:**

12

90

18

6

4

**Correct answer:**

12

Mode is the item that appears most often.

### Example Question #2 : Mode

Find the mode:

**Possible Answers:**

**Correct answer:**

The mode is the number that appears most frequently in a given set.

### Example Question #1 : Mode

The Bobcats scored 91, 83, 82, 82, 78, 87, 89, 96, and 86 points in their last nine home games. What is the difference between the average and the mode of their points scored?

**Possible Answers:**

Cannot be determined

**Correct answer:**

The average is the sum of the points scored in the last nine games divided by 9, which equals 86. The mode is the score which occurs most often, 82. 86 – 82 = 4

### Example Question #4 : Mode

A survey has shown that the number of children that newlyweds plan to have is respectively. What is the mode of the number of children newlyweds tend to have based on this survey?

**Possible Answers:**

**Correct answer:**

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 #5 : Mode

Quantity A: The mode of

Quantity B: The median of

**Possible Answers:**

The relationship cannot be determined.

Quantity A is greater.

The two quantities are equal.

Quantity B is greater.

**Correct answer:**

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 #6 : Mode

What is the mode of the following set of numbers?

**Possible Answers:**

**Correct answer:**

The mode is the most occuring value in a set. is the mode because it occurs 6 different times in the set.