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 .

Using the data provided: 

,

we are able to find the median by first putting the numbers in numerical order: 

.

Next we begin crossing numbers out bilaterally simultaneously, so first we cross out  and , then  and .

The next number that we would cross out would be  and , but if we do this then we wouldn't have any numbers left.

So, when faced with this dilemma, we simply add the two remaining numbers together and divide by two, 

.

This is our median. 

To find the median of the set we need to put the numbers in order from smallest to largest then find the number in the middle. In this case there are two "middle numbers". In order to find the median, we find the average of these numbers.

Doing this we find the median of the set to be 32.5

To find the median of a set, we need to line the numbers up from least to greatest, and then determine which number is in the middle. In other words, we want to find the number that has the same amount of terms on either side of it.

For this problem, rather than computing the exact value for each number listed, we can solve this problem through rough comparison.

We know that  because taking a root of any degree greater than 1 of any number greater than 1 must be smaller than the original number. 

We also know that . Even without knowing the exact value of , we know that it represents 4 multiplied by a positive number. The result must be close to, but less than , or 16.

To assess , we can simply work out that . We know that , so .

Finally, we can compare  to  and clearly see that .

Our order, from least to greatest, then, is , and we can see that  is the median of this set.

In order to find the median of a set of numbers, we must identify the middle number of the set when all of the set's numbers are arranged in ascending or descendng order.

Given  and , we know that the ordered set is 

 and the median is therefore .

In order to find the median of a set of numbers, we must identify the middle number of the set when all of the set's numbers are arranged in ascending or descendng order.

Given  and , we know that the ordered set is 

 and the median is therefore .

In order to find the median of a set of numbers, we must identify the middle number of the set when  and , we know that the ordered set is .

Since we have an even number of terms in the set, we must then take the average of the middle two terms - in this case,  and  - to find the median:

To find the median of the set we need to put the numbers in order from smallest to largest then find the number in the middle. In this case, there are an odd number of numbers in the set, meaning we can find the median to be .

Since there is an odd number in the data set this means that there will be an even amount of numbers to each side of the median. It can be seen that there are six values to each side of the median.