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.

To find the median of the set, we need to arrange the numbers from smallest to largest and find the number in the middle of the set.

In this case we can find that the median is .

Since there is an odd number of integers in this data set, there will be an even amount of integers to either side of the median.

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending 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 find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given , we know that the ordered set is . Since we have an even number of terms, we must now take the middle two terms,  and , and average them in order to find the median:

.

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given , we know that the ordered set is . Since we have an even number of terms, we must now take the middle two terms,  and , and average them in order to find the median:

.

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given , we know that the ordered set is  and the median is therefore .