The median is defined as the center data value of the data set. This data set is already set in numerical order: 

.

Since there is an odd number of data values, , we subtract one, , and then divide ten in half, . This means that there must be five data values on either side of the median. To satisfy this requirement, the median must be at the sixth spot.

Thus for this data set: 

, the median is . 

To find the median of a data set, we must find the center of the data. If the data set has an odd number of data values, simply subtract one, and then divide in half. Your result will be the amount of values that lie on each side of the median.

However, when there is an even amount of data values, there is no definite center of the data set. The most commonly used method of finding the median given an even amount of data values is to simply cross off data values on either ends of the set until we are left with two numbers in the center:

 . In this set  and  are the center numbers.

Now we can find the average of these two values: 

Thus, our true center of the data set lies between the numbers  and , . 

The median is defined as the center number of the data. To find this value, the first step is to place the numbers in numerical order. 

.

Since there are 7 pieces of data, and odd number, we can subtract one, and then divide the answer in half. 

This means that the median has to have 3 data values on either side of it.

To satisfy this requirement, our median must be 

To find the median, we first must put the numbers in numerical order: 

Since there are 9 pieces of data, we subtract one and then divide in half. 

.

This means that there must be 4 pieces of data on either side of the number that is the median.

To satisfy this requirement,  must be the median. 

The median is the numer that, when put in numerical order, appears in the direct center of the group.

To find this value, we must first put the numbers in numerical order: 

.

In this set of data we have seven pieces of data, we subtract one, then divide the result in half, 

.

This means that there must be three numbers on either side of the median.

To satisfy this requirement, our median must be . 

Given the data set:  we are asked to find the median.

The first step, is to put the numbers in numerical order: 

.

Since there are four pieces of data, we cross off numbers bilaterally, simultaneously, leaving us with the two center numbers,  and .

Now we add these two numbers and divde in half to find our true median. 

The median is the number that separates the upper half of the data from the lower half. To find the median, order the given values in increasing order and find the number in the middle.

Since there is an even numer of numbers, the median is the average of the two middle values.

Given this set of data: 

we are asked to find the mode and the median.

Since every one of these numbers only appear once, there is no mode.

The median of this set must be , because it is the center number that has the same amount of data pieces on either side of it. 

The median or central most number in the series can be found by first putting the set in order of increasing value.

The middle or central most number in the series is .