GRE Subject Test: Math : Mean

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

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Example Questions

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Example Question #1 :Probability & Statistics

Find the mean of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

The mean can be found in the same way as the average of a group of numbers. To find the average, use the following formula:

So, if our set consists of

We will get our mean via:

So our answer is

Example Question #5 :Probability & Statistics

The mean of four numbers is.

A: The sum of the four numbers.

B:

Possible Answers:

Can't be determined from the given information.

Quantity A is greater.

Quantity B is greater.

Both are equal.

Correct answer:

Both are equal.

Explanation:

To find the sum of the four numbers, just multiply four and the average. By multiplying the average and number of terms, we get the sum of the four numbers regardless of what those values could be.

因为数量匹配量B,回答should be both are equal.

Example Question #6 :Probability & Statistics

Mean ofis.are all positive integers.is betweenandinclusive.

A: Mean of.

B: Mean of.

Possible Answers:

Can't be determined from the information above.

Quantity B is greater.

Both are equal.

Quantity A is greater.

Correct answer:

Can't be determined from the information above.

Explanation:

Let's look at a case where.

Let's havebeandbe. The sum of the three numbers have to beor.

The average ofisor. The avergae ofisor.

This makes Quantity B bigger, HOWEVER, what if we switched theandvalues.

The average ofis stillor. The avergae ofisor.

This makes Quantity A bigger. Because we have two different scenarios, this makes the answer can't be determined based on the information above.

Example Question #7 :Probability & Statistics

Ifand are positive integers frominclusive, then:

A: The mean of

B: The mean of

Possible Answers:

Quantity A is greater

Quantity B is greater

Both are equal

Can't be determined from the information above

Correct answer:

Can't be determined from the information above

Explanation:

Let's add each expression from each respective quantity

Quantity A:

Quantity B:

Sincewe will letand. The sum of Quantity A isand the sum of Quantity B is also. HOWEVER, ifwas, that means the sum mof Quantity B is. With the same number of terms in both quantities, the larger sum means greater mean. First scenario, we would have same mean but the next scenario we have Quantity B with a greater mean. The answer is can't be determined from the information above.

Example Question #8 :Probability & Statistics

约翰选择一组7和5个数字decides to find the average. The set has.

A: John averages the five numbers he picked from the set.

B:

Possible Answers:

Quantity A is greater

Can't be determined from the information above

Both are equal

Quantity B is greater

Correct answer:

Quantity B is greater

Explanation:

To figure out which Quantity is greater, let's find the highest possible mean in Quantity A. We should pick thebiggest numbers which are. The mean is. This is the highest possible mean and since Quantity B isthis makes Quantity B is greater the correct answer.

Example Question #9 :Probability & Statistics

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean, add the terms up and divide by the number of terms.

Example Question #10 :Probability & Statistics

Findif the mean ofis.

Possible Answers:

Correct answer:

Explanation:

To find the mean, add the terms up and divide by the number of terms.

Then add the numerator.

Cross-multiply.

Subtracton both sides.

Example Question #1 :Statistics

If average ofandisandiswhat is the average of?

Possible Answers:

Correct answer:

Explanation:

If the average ofandis, then the sum must be.

If we add the sum ofwe getor.

To find the average of the three terms, we divideandto get.

Example Question #1 :Mean

What is the average of the first ten prime numbers?

Possible Answers:

Correct answer:

Explanation:

The first ten prime numbers are. Prime numbers have two factors:and the number itself. Then to find mean, we add all the numbers and divide by.

Example Question #3 :Statistics

If the average of seven consecutive numbers is, what is the value of the second number in the set?

Possible Answers:

Correct answer:

Explanation:

There are two methods.

Method 1:

Since the average ofconsecutive number is, we can express this as:

Cross-multiply

Subtracton both sides then divide both sides by

Since we are looking for the second term, just plug into expression. That means answer isor.

Method 2:

Since the average ofconsecutive number is, this means the median is also. Consecutive means one after another and with each term having the same difference, we know the mean equals the median. Since there areterms, the median will haveterms left and right of it. Then, the series will go. The second term is.

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