# SAT II Math I : Data Analysis and Statistics

## Example Questions

### Example Question #11 : Data Analysis And Statistics

In terms of , what is the mean of ?

Explanation:

Recall how to find the mean:

### Example Question #11 : Mean

In terms of , what is the mean of ?

Explanation:

Recall how to find the mean:

### Example Question #12 : Mean

The average of  is . Find the sum of the largest and smallest numbers for this set of numbers.

Explanation:

Recall how to find the mean:

The smallest number in this set is , which is . The largest number is , which is .

The sum of these two numbers is then given by the following:

### Example Question #13 : Mean

The average for a set of  numbers is . After another number is added to the set, the average changes to . What number was added to the set?

The answer cannot be determined with the information given.

Explanation:

Recall how to find the mean:

First, find the sum of all the values when there are just  numbers in the set.

Next, find the sum of all the values when there are  numbers in the set.

To find what number is added, take the difference between the sum of  values and the sum of  values.

### Example Question #12 : Data Analysis And Statistics

In terms of , what is the average of ?

Explanation:

Recall how to find the mean:

### Example Question #11 : Data Analysis And Statistics

Jack has an average of  on four exams. If he has one more exam and he wants to bump his average up by  points, what must he score to get that average he wants?

Explanation:

First, we need to find the total number of points for his fourth exam. That would be  or . The reason we do this is because we can calculate his point total with the new average and determine his final score by taking the difference. So . We subtract  and  to get  as our answer.

### Example Question #17 : Mean

If Joe received a  and  on his first four exams, what would he need to get on the final exam in order to finish with an average of ?

Explanation:

The equation to find the average of his five grades would look like

.

You must solve for , so the first step is to multiple both sides by  to get

.

Then you subtract all of the other grades from the total of  to get a final answer of  for the grade of the final exam.

### Example Question #18 : Mean

What is the mean of: ?

Explanation:

Step 1: Find the sum of the values...

Step 2: Find how many numbers are given...

There are  numbers.

Step 3: To find the mean, divide the sum by how many numbers....

### Example Question #19 : Mean

Find the mean of:

Explanation:

Step 1: Find the sum of all the numbers...

Step 2: Count how many numbers there are...

There are  elements.

Step 3: Divide the total sum by the number of elements...

### Example Question #20 : Mean

Find the mean of the following set: