The median is the number with an equal number of other items both above and below it.  There are 9 total numbers in the list, 4 of them are below 7, and 4 of them are above 7.

The median of a set of values is the value that is in the middle when you rearrange the values from least to greatest. In this set, the values can be rearranged as , , , ,  and the median is .

The median is the middle number in a set when the set of numbers is ordered sequentially. 

When the intial set is reordered sequentially, you get the bottom set. (The top set is the original ordering of the numbers.)

In this sequential set of 7 numbers, the number 89 is in the fourth posiiton and exactly in the middle. Therefore, it is the mean. 

To find the median of a set of numbers, you must first reorder them from smallest to largest. Below is the set reordered as such:

The median is the middle number of the set. Here, 57 is the middle number. Therefore, it is the median and the correct answer. 

First, order the test scores from least to greatest:

Identify the middle test score:

Answer: Shelley's median test score is 92.

First, order the numbers from least to greatest: 

Find the median—the middle number:

Now, find the mode—the most recurring number:

Finally, subtract the median from the mode:

First, order the numbers from least to greatest:

In order to find the range, subtract the smallest number from the greatest:

Now, find the median by identifying the middle number:

Finally, subtract the range from the median:

First, we need to find the median for the first data set: 

We must put the numbers in order from least to greatest: 

Since there is an even number of items in the data set, we will take the average of the middle two numbers to find the median. 

The median for this data set is:

Next, we must find the new median for the new data set: 

Again, we must put the numbers in order from least to greatest: 

Since there is an odd number of items, we can choose the middle number to be the median. 

In this case, the middle number is , which means the new median is:

Therefore, we know that the median will decrease by .

First we must put the numbers  in order from least to greatest. 

After the numbers are in order, if it is an odd number of numbers we chose the middle number - that is the median. 

In this case, we have an even number of numbers, so we must take the average of the middle two numbers which is given below: 

So the median is !

When finding the median we must first reorganize the numbers from least to greatest, here is what the numbers are before and after they were organized. 

Given: 

After Organized from least to greatest: 

In order to find the Median for an even number of numbers (we have  numbers in this set) we take the average of the middle two numbers. 

Here we would add  which is , we then divide by two to find the mean which is . 

If we were to change the  to an , this does not impact the middle two numbers, they will remain  and  which means the Median will remain . 

The middle two numbers are still  and . 

The Median will remain unchanged.