# GRE Subject Test: Math : Statistics

## Example Questions

### Example Question #11 : Probability & Statistics

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

Explanation:

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

Cross-multiply.

Subtract both sides by

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

### Example Question #11 : Mean

Sam has math test scores of . 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  inclusive, what is the lowest possible average of his exams?

Explanation:

We have four test scores of . We know the range of the final exam is  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:

### Example Question #12 : Mean

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

Explanation:

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

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

The remaining number of exams is  or .

The remaining sum is  or .

We divide  by  to get

### Example Question #12 : Probability & Statistics

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

Explanation:

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

There are seven scores so divide that number by 7

### Example Question #13 : Mean

Find the mean of the set of numbers containing: .

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:

.

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

..There are 9 numbers.

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

.

The average of the set of numbers is

### Example Question #14 : Statistics

What is the mean of ?

Explanation:

Step 1: Find the sum of all the numbers.

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

The mean (average) of all numbers above is .

### Example Question #17 : Mean

What is the mean of

Explanation:

Step 1: Find the sum of all the numbers:

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

There are  numbers...

### Example Question #521 : Gre Subject Test: Math

What is the mean of ?

Explanation:

Step 1: Find the sum of all numbers:

Step 2: Count how many numbers are in the question..

We have  numbers.

Step 3: Divide sum by how many numbers

### Example Question #522 : Gre Subject Test: Math

What is the mean of

Explanation:

Step 1: Find the sum of the numbers

Step 2: Find how many numbers

There are  numbers..

Step 3: Divide the sum by how many numbers they are...This division gives us the mean..

### Example Question #521 : Gre Subject Test: Math

What is the mean of:

Explanation:

Step 1: Find the sum of the numbers

Step 2: Find how many numbers are there

I counted  numbers.

Step 3: Divide Sum by how many numbers

The mean is .