# ISEE Upper Level Math : How to find median

## Example Questions

### Example Question #591 : Isee Upper Level (Grades 9 12) Mathematics Achievement

Find the median of the following data set:

Explanation:

Find the median of the following data set:

First, let's put our terms in ascending order.

Now, our median will simply be the term which is in the middle.

So, our median is 67

### Example Question #41 : Data Analysis

Use the following data set to answer the question:

Find the median.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will locate the number in the center of the data set.

So, given the data set

we will arrange the numbers in ascending order.  To do that, we will arrange them from smallest to largest.  So, we get

Now, we will locate the number in the center of the data set.

We can see that it is 6.

Therefore, the median of the data set is 6.

### Example Question #47 : Data Analysis

In a class of  students, a poll was taken to see how many siblings students had. The results in the poll were then made into a table.

 Number of Siblings Number of Students with the Specific Number of Siblings 0 5 1 9 2 4 3 2

What is the median number of siblings the class has?

Explanation:

Recall that the median is the middle number of a data set, when the data has been put in ascending order.

Start by writing out all the individual data points in ascending order:

Since we have an even number of students in the class, the median number will be between the middle two data points. In this case, the middle two points are both , so the median must also be .

### Example Question #48 : Data Analysis

A class completes a Math test.  These are there scores:

Find the median grade.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order.  Then, we will find the number in the middle of the data set.

So, given the Math test scores

we will first arrange them in ascending order.  To do that, we will arrange them from smallest to largest  So, we get

Now, we will find the number in the middle of the set.

Therefore, the median of the set of Math test scores is 85.

### Example Question #49 : Data Analysis

Find the median of the following data set:

Explanation:

Find the median of the following data set:

To find the median, first put the numbers in increasing order

Now, identify the median by choosing the middle term

In this case, it is 44, because 44 is in the middle of all our terms.

### Example Question #21 : How To Find Median

For his last six math tests, Josh scored 92, 80, 88, 94, 97, and 95. What is his median test score?

Explanation:

The median is the number that is in the middle of an ordered list. Start by putting the numbers in ascending order:

Since we have an even number of test scores, the median will be the number that is in between the middle two numbers.

In this case, the median will have to be between 92 and 94.

The number that is exactly between these two numbers is .

### Example Question #22 : How To Find Median

Michael received the following scores on his last four French tests: 65, 58, 69, 58. What is his median test score?

Explanation:

Remember that the median is the middle number of a data set when the data is sorted in numerical order.

Start by putting the numbers in ascending order:

Now, because there is an even number of test scores, the median will be in between the middle two numbers,  and .

Take the average of these two numbers to find the number that is exactly in the middle.

His median test score is .

### Example Question #22 : How To Find Median

Use the following data set of test scores to answer the question:

Find the median.

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order.  Then, we will find the number in the middle of the set.  So, given the data set

We will arrange them in ascending order (from smallest to largest).  We get

Now, we will find the number in the middle.

We can see that it is 86.

Therefore, the median of the data set of test scores is 86.

### Example Question #53 : Data Analysis And Probability

Use the following data set to answer the question:

Find the median.

Explanation:

To find the median of a data set, we will first arrange the data set in ascending order. Then, we will find the number that is located in the middle of the set.

So, given the set

we will arrange the set in ascending order (from smallest to largest). We get

Now, we will locate the number in the middle of the set.

We can see that it is 6.

Therefore, the median of the data set is 6.