# SAT II Math II : Data Analysis and Statistics

## Example Questions

### Example Question #1 : Median

Determine the median of the numbers:

Explanation:

Order the data set from least to greatest.

The median is the average of the two central numbers for an even amount of numbers in the data set.

### Example Question #1 : Median

Determine the median of the following numbers:

Explanation:

Organize the numbers from least to greatest.

The median of an odd set of numbers is the central number.

### Example Question #1 : Mode

Find the mode of the following data set:

Explanation:

Find the mode of the following data set:

The mode will be the most repeated number. To find it, simply see which number appears most.

In this case, we have two 67's, and only 1 of each other term.

Therefore, our mode is 67.

### Example Question #2 : Mode

Determine the mode of the following numbers:

Explanation:

The mode is defined as the number or numbers that has the highest frequency in the data set.

The numbers  appear in the data set twice, while the other numbers appear once.

This means that the mode is:

### Example Question #3 : Mode

Calculate the mode:

Explanation:

The definition of mode is the number or numbers that have the highest frequency in a data set.

There is only one of each number given in the data set.

This means that there is no mode.

### Example Question #4 : Mode

Determine the mode:

Explanation:

The mode includes all numbers that have more than one frequency.  Since every number only occurs once in the set of data, there is no mode.

### Example Question #1 : Mode

Determine the mode of the numbers:

Explanation:

The mode includes all numbers that have the highest frequency.

The numbers three and six occur twice, while the other numbers appear once.

### Example Question #1 : Range

Find the range of the following data set:

Explanation:

Find the range of the following data set:

To find the range, find the difference between the largest and smallest values.

Largest: 136

Smallest:23

So our range is 113

### Example Question #1 : Range

Determine the range of the numbers.

Explanation:

The range of the numbers is the difference between the largest and smallest numbers.

The largest number is 85.

The smallest number is 11.

Subtract both numbers.

### Example Question #3 : Range

Determine the range of the numbers:

Explanation:

To find the range, subtract the highest with the lowest number provided in the set of numbers.

The highest number is 44.

The smallest number is .

Subtract both quantities.