# GRE Subject Test: Math : Probability & Statistics

## Example Questions

### Example Question #1 : Range & Iqr

Find the range of the set of numbers:

Explanation:

Step 1: Arrange the numbers from smallest to largest. If the numbers are already written that way, then skip this step..

The numbers need to be arranged.. We will get:

Step 2: To find the range, subtract the smallest number from the biggest number...

So,

The range of this set of numbers is ...

### Example Question #1 : Range & Iqr

What is the range of the numbers:

Explanation:

Step 1: See if the numbers are in order..

The numbers are in order from smallest to largest..

Step 2: Subtract the largest number and the smaller number:

is the range.

### Example Question #6 : Range & Iqr

What is the range of:

Explanation:

Step 1: Rearrange the numbers from smallest to largest:

After rearranging, we have:

Step 2: Find the smallest number:

The smallest number is .

Step 3: Find the largest number:

The largest number is .

Step 4: Subtract the smallest number from the smallest number:

The range is .

### Example Question #3 : Range & Iqr

Find the range of:

Explanation:

Step 1: Locate the smallest and largest numbers in the set above...

Largest is , smallest is

Step 2: To find the range, subtract smallest from largest...

Range=

### Example Question #1 : Range & Iqr

What is the range of the set, ?

Does Not Exist

Does Not Exist

Explanation:

Step 1: Define Range of a set..

You can calculate the range by subtracting the smallest number from the largest number in the set..

Step 2: There are no numbers in this set. This set is also known as the empty set..

The range of a set that has no elements does not exist.

### Example Question #1 : Range & Iqr

If , find the IQR (Inter-Quartile Range)

Explanation:

Step 1: To find the Inter-Quartile Range, we need  and .

The formula for the Inter-Quartile Range is: .

Step 2: Plug in the given values of  to the equation...

So, the IQR=

### Example Question #1 : Range & Iqr

Find the range:

Explanation:

Rearrange the numbers in the set from smallest to largest:

To find the range, subtract the smallest number from the bigger number:

The range is .

### Example Question #41 : Statistics

If  and , find the IQR.

Explanation:

The IQR (Inter-Quartile Range) is the distance from the third quartile and the first quartile. The IQR is always positive. Halfway between  and  is the Mean (or .

To find the IQR, just subtract  from .

### Example Question #12 : Range & Iqr

Find the range:

Explanation:

The range is the difference between the largest and smallest number.

### Example Question #1 : Combinational Analysis

Simplify the following expression: