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GRE Subject Test: Math : Probability & Statistics

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

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All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #4 : Statistics

If average of and is and is what is the average of x, y, z ?

Possible Answers:

Correct answer:

Explanation:

If the average of and is , then the sum must be .

$\left(\frac{x+y}{2}=40; x+y=80\right)$

If we add the sum of x, y, z we get 80+10 or .

To find the average of the three terms, we divide and to get .

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Example Question #11 : Probability & Statistics

What is the average of the first ten prime numbers?

Possible Answers:

10.1

12.8

12.9

Correct answer:

12.9

Explanation:

The first ten prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 . Prime numbers have two factors: and the number itself. Then to find mean, we add all the numbers and divide by .

$\frac{2+3+5+7+11+13+17+19+23+29}{10}=\frac{129}{10}=12.9$

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Example Question #6 : 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 of consecutive number is , we can express this as:

$\frac{x+x+1+x+2+x+3+x+4+x+5+x+6}{7}=8$

$\frac{7x+21}{7}=8$ Cross-multiply

7x+21=56 Subtract on both sides then divide both sides by

x=5 Since we are looking for the second term, just plug into expression x+1 . That means answer is 5+1 or .

Method 2:

Since the average of consecutive 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 are terms, the median will have terms left and right of it. Then, the series will go 5, 6, 7, 8, 9, 10, 11 . The second term is .

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Example Question #11 : Statistics

John has math test scores of 76, 87, 94, 56 . What could be his final test score if he wants the average of his exams to be at least ?

Possible Answers:

Correct answer:

Explanation:

To find the missing value, we add the terms up and divide them by to have the average of .

$\frac{76+87+94+56+x}{5}=80$

$\frac{313+x}{5}=80$ Cross-multiply.

313+x=400 Subtract both sides by 313

x=87 Since the question is asking for a test score that will generate AT LEAST average of , we look for an answer that is greater than which is .

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Example Question #12 : Statistics

Sam has math test scores of 75, 99, 82, 86 . The teacher drops the lowest test score except the final and the highest test score is counted as two exams. If Sam took his final exam and felt he scored between 70-95 inclusive, what is the lowest possible average of his exams?

Possible Answers:

82.4

88.2

87.2

Correct answer:

87.2

Explanation:

We have four test scores of 75, 86, 82, 99 . We know the range of the final exam is 70-95 so therefore the is counted twice. Since the final exam grade regardless if the lowest possible value can't be dropped, this means we drop the and include the lowest possible test score which is . So the mean is:

$\frac{70+99+99+82+86}{5}=\frac{436}{5}=87.2$

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Example Question #11 : Statistics

There were 100 exams graded. The average of the exams were . If the average of exams were , what was the average of the remaining exams?

Possible Answers:

Correct answer:

Explanation:

With 100 exams of average , the sum of the scores were 7500 .

We already know the first exams with average of . Therefore, the sum is 4620 .

The remaining number of exams is 100-60 or .

The remaining sum is 7500-4620 or 2880 .

We divide 2880 by to get .

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Example Question #12 : Probability & Statistics

What is the mean of the scores 95, 13, 67, 89, 13, 45, and 109?

Possible Answers:

61.57

71.83

58.29

82.34

49.8

Correct answer:

61.57

Explanation:

To get the average or mean, add up all the scores and then divide by the number of scores.

95+13+67+89+13+45+109=431

There are seven scores so divide that number by 7

$\frac{431}{7}=61.57$

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Example Question #11 : Other Topics

Find the mean of the set of numbers containing: 2,3,4,6,7,8,11,14,20 .

Possible Answers:

8.33

8.3

Correct answer:

8.33

Explanation:

Step 1: We need to know how to find mean. To find mean, add up all the numbers in the set and divide by how many numbers are in the set.

Step 2: Let's find the sum:

2+3+4+6+7+8+11+14+20=75 .

Step 3: Count how many numbers are in the set.

2,3,4,6,7,8,11,14,20 ..There are 9 numbers.

Step 4: Divide the sum by 9 to find the average.

$\frac {75}{9}\approx8.33$ .

The average of the set of numbers is 8.33

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Example Question #13 : Probability & Statistics

What is the mean of 2,4,5,6,7,8,8,9,9,11,14,21 ?

Possible Answers:

8.67

8.5

Correct answer:

8.67

Explanation:

Step 1: Find the sum of all the numbers.

2+4+5+6+7+8+8+9+9+11+14+21=104

Step 2: Divide the sum by how many numbers there are. There are 11 numbers.

$\frac {104}{12}= \approx8.67$

The mean (average) of all numbers above is 8.67 .

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Example Question #14 : Probability & Statistics

What is the mean of 2,4,5,9,11,13,17,23?

Possible Answers:

10.5

11.5

Correct answer:

10.5

Explanation:

Step 1: Find the sum of all the numbers:

2+4+5+9+11+13+17+23=84

Step 2: Divide the sum by how many numbers are given to get the mean..

There are numbers...

$Mean=\frac {84}{8}=10.5$

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GRE Subject Test: Math : Probability & Statistics

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

All GRE Subject Test: Math Resources

Example Questions

Example Question #4 : Statistics

Example Question #11 : Probability & Statistics

Example Question #6 : Statistics

Example Question #11 : Statistics

Example Question #12 : Statistics

Example Question #11 : Statistics

Example Question #12 : Probability & Statistics

Example Question #11 : Other Topics

Example Question #13 : Probability & Statistics

Example Question #14 : Probability & Statistics

All GRE Subject Test: Math Resources

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