# SAT II Math I : Data Analysis and Statistics

## Example Questions

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### Example Question #1 : Mean

Tom recieved an 87%, 92%, 77%, and 90% on his 4 exams. Find the mean of these scores.

86.5%

85%

86%

87%

86.5%

Explanation:

To find the mean of a certain set of numbers we need to add all enteries together and then divide by how many numbers you have.

In our case we do:

### Example Question #1 : Data Analysis And Statistics

Karen wants to get an average of 92% at the end of the semester in her class. She has 1 test left to take before the semester is over to raise her average. If she recieved an 88%, 87%, 95%, and 93% on her tests what does she need to recieve on her last test to obtain the 92% average?

100%

93%

95%

97%

97%

Explanation:

For this question we need to set up an equation to find the mean, set it equal to our desired mean of 92 and solve for our missing test value.

From here we perform algebraic procedures to simplify the equation

### Example Question #3 : Mean

Clara recieved 10 apples on Monday, 9 apples on Tuesday, and 5 apples on Wednesday. What was the average number of apples she recieved?

Explanation:

To solve this problem we use the equation to find the mean. We add all entries and then divide by the number of entries we have. It is as follows:

### Example Question #4 : Mean

On her past five tests, Julie scored . What was the mean of her scores?

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

### Example Question #5 : Mean

The following stem and leaf plot illustrates the number of baseball cards owned by a group of friends. What is the average number of baseball cards that each individual owns?

Explanation:

First, write out the individual values found within this stem and leaf plot to figure out how many values there are.

Now, finding the mean is the same as finding the average. Recall how to find the average:

Thus, the mean number of baseball cards owned is found by the following:

### Example Question #6 : Mean

In order for Michael to get a "B" in his trigonometry class, he needs to have an average of  on all his tests. He has one test remaining. His scores on his previous tests are . What score does Michael need on his last test to get a "B"?

Explanation:

Recall how to find the average of a set of numbers:

Now, let  be the score Michael needs on his last test in order to have a test average of .

Now, solve for .

### Example Question #7 : Mean

The average temperature for a city is given by the following graph.

What is the average temperature for the months of May-September?

Explanation:

First, figure out the temperatures.

May:

June:

July:

August:

September:

Now, recall how to find the mean of a set of numbers:

### Example Question #8 : Mean

The mean of  is . Find the value of .

Explanation:

Recall how to find the mean:

### Example Question #9 : Mean

The mean of  is . Find the value of the smallest number.

Explanation:

Recall how to find the mean:

Now, because the question asks you to find the smallest number, you need to find the value of .

### Example Question #10 : Mean

The average of  is . Find the value of the largest number.