Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get

 . 

Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

. 

Median is the middle number in an increasing set. In the set, the numbers are not arranged in increasing order.

The order is . 

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

. 

Median is the middle number in an increasing set. In the set, the numbers are not arranged in increasing order.

The order is .

Remember when ordering negative number, the bigger the negative, the smaller the number it is. 

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

. 

Let's arrange this in increasing order. We have . Since we want a median of , we can insert  between . The reason is if we put  between any others, the maximum value of  will either be less than  on the left or greater than  on the right. We need to average those two values since we have an even amount of numbers in the set. So the middle numbers in the set is . Let's take the average and set it equal . 

 Cross multiply.

 Subtract both sides by .

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

To find the middle number, take the total  or number of values (not the values themselves), add 1, then divide by 2 to find the place of the median value. Since there are 13 numbers in this data set,  is 13:

Thus, our 7th number, or 9, is the median.

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

The median value is found by adding 1 to our , then dividing by 2 to find the place for our median:

Thus, halfway between our 5th and 6th value lies the median. These values are 18 and 19, so:

Thus, 18.5 is our median.

The median is defined as the piece of data that is directly at the center of the data set given.

To find the median, the data first must be placed in numerical order: 

.

Since there is and odd number of data pieces, , we simply subtract , and divide the result in half. In this case, , half of  is . Therefore, there must be  pieces of data on either side of the number that is the median. The only number in this set of data that, if chosen, has three data pieces on either side is  To the left of  is . To the right of  is . Thus  is our median. 

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 , .