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GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

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All GRE Subject Test: Math Resources

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Example Questions

Example Question #41 : Probability & Statistics

Find the range of the set of numbers: $\{2,4,5,6,7,2,11,-3\}$

Possible Answers:

Correct answer:

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: $\{-3,2,2,4,5,6,7,11\}$

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

So, $11-(-3)\implies 11+3\implies 14$

The range of this set of numbers is ...

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Example Question #3 : Range & Iqr

What is the range of the numbers: $\{2,4,5,6,7,8,9\}$

Possible Answers:

Correct answer:

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:

9-2=7

is the range.

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Example Question #5 : Range & Iqr

What is the range of: $\{2,4,7,-1,11,-6\}$

Possible Answers:

Correct answer:

Explanation:

Step 1: Rearrange the numbers from smallest to largest:

After rearranging, we have: $\{-6,-1,2,4,7,11\}$

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:

11-(-6)=11+6=17

The range is .

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Example Question #3 : Range & Iqr

Find the range of: $\{2,3,4,5,5,6,7,8,9,11\}$

Possible Answers:

Correct answer:

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= 11-2=9

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Example Question #3 : Range & Iqr

What is the range of the set, $\large \{\}$ ?

Possible Answers:

$\large 0$

Does Not Exist

$\large 2$

$\large 1$

Correct answer:

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.

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Example Question #45 : Probability & Statistics

If $\large Q_1=12.5, Q_3=16.5$ , find the IQR (Inter-Quartile Range)

Possible Answers:

$\large 16.5$

$\large 4$

$\large 20.5$

$\large 8.5$

Correct answer:

$\large 4$

Explanation:

Step 1: To find the Inter-Quartile Range, we need $\large Q_1$ and $\large Q_3$ .

The formula for the Inter-Quartile Range is: $\large Q_3-Q_1$ .

Step 2: Plug in the given values of $\large Q_1, Q_3$ to the equation...

$\large Q_3-Q_1=16.5-12.5=4$

So, the IQR= $\large 4$

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Example Question #10 : Range & Iqr

Find the range:

$\{2,2,4,4,6,7,9,1,8,3,11,-7,12\}$

Possible Answers:

Correct answer:

Explanation:

Rearrange the numbers in the set from smallest to largest:

$\{-7,1,2,2,3,4,4,6,7,8,9,11,12\}$

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

12-(-7)=12+7=19

The range is .

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Example Question #41 : Probability & Statistics

If Q_1=15 and Q_3=24 , find the IQR.

Possible Answers:

9.1

9.5

Correct answer:

Explanation:

The IQR (Inter-Quartile Range) is the distance from the third quartile and the first quartile. The IQR is always positive. Halfway between $\large Q_1$ and $\large Q_3$ is the Mean (or $\large Q_2$ .

To find the IQR, just subtract $\large Q_1$ from $\large Q_3$ .

$\large Q_3-Q_1=24-15=9$

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Example Question #41 : Statistics

Find the range:

7, 45, 74, 32, 15

Possible Answers:

Correct answer:

Explanation:

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

74-7=67

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Example Question #541 : Gre Subject Test: Math

Simplify the following expression:

$\frac{12!}{10!-4!}$

Possible Answers:

123.004

132.0009

366

132

121

Correct answer:

132.0009

Explanation:

Recall that ! means facotrial in math. This means we multiply the number by all positive integers less than itself. In other words, this...

$\frac{12!}{10!-4!}$

Becomes

$\frac{1\cdot 2\cdot3\cdot 4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10\cdot11\cdot12}{(1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7\cdot8\cdot9\cdot10)-(1\cdot2\cdot3\cdot 4)}$

This is a great job for a calculator, which yields:

132.0009

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All GRE Subject Test: Math Resources

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GRE Subject Test: Math : GRE Subject Test: Math

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #41 : Probability & Statistics

Example Question #3 : Range & Iqr

Example Question #5 : Range & Iqr

Example Question #3 : Range & Iqr

Example Question #3 : Range & Iqr

Example Question #45 : Probability & Statistics

Example Question #10 : Range & Iqr

Example Question #41 : Probability & Statistics

Example Question #41 : Statistics

Example Question #541 : Gre Subject Test: Math

All GRE Subject Test: Math Resources

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