### All SAT II Math I Resources

## Example Questions

### Example Question #24 : Median

If the median of the set is , which of the following is a possibility for the values of and ?

**Possible Answers:**

,

,

,

,

,

**Correct answer:**

,

The set is already in increasing order. We have six numbers in the set and we need to ensure the set will have a median of . When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. The two middle numbers represent and . Let's set up an equation.

.

The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by we get the sum of the variables to be . So we need to find the sum of and to be . The only choices are , and , . However, , doesn't work because is bigger than both and and thus changing the median. , is good because both of the values are les than but greater than .

### Example Question #25 : Median

If the median of the set is , which of the following is a possibility for the values of and ?

**Possible Answers:**

**Correct answer:**

The set is already in increasing order. We have six numbers in the set and we need to ensure the set will have a median of . When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. The two middle numbers represent and . Let's set up an equation.

.

The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by , and subtract on both sides, we get to be . Finally, to find , we need a number that is greater than or equal to and less than or equal to . Answer , satisfies all conditions.

### Example Question #26 : Median

If we want the median to be , what number can be put into the set to make this true?

**Possible Answers:**

**Correct answer:**

The set is already in increasing order. We have five numbers in the set, however, we need to add another number to ensure the set will have a median of . This will make the set have six numbers. When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. Let's say this number is . Let's setup an equation.

.

The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by and subtract on both sides, is . Make sure this answer doesn't violate the set. is less than but greater than , so therefore is the correct answer.

### Example Question #27 : Median

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers". But for this set, both of those middle numbers are 89, meaning we don't need to take an average.

This gives us the final answer of 89 for the median.

### Example Question #28 : Median

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 23 and 25. In order to find the median we take the average of 23 and 25:

### Example Question #31 : Median

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 22 and 23. In order to find the median we take the average of 22 and 23:

### Example Question #32 : Median

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 11 and 12. In order to find the median we take the average of 11 and 12:

### Example Question #231 : Data Properties

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 8 and 13. In order to find the median we take the average of 8 and 13:

### Example Question #232 : Data Properties

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an even amount of numbers in the set meaning there are two "middle numbers"- 24 and 26. In order to find the median we take the average of 24 and 26:

### Example Question #233 : Data Properties

Find the median of the set:

**Possible Answers:**

**Correct answer:**

The median is the middle number of the set, when it is listed in order from smallest to largest or vice versa. In this case we have an odd amount of numbers so we just count from each side until we find the number in the middle.

This gives us a final answer of 37 for the median.

Certified Tutor

Certified Tutor