Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #61 : How To Find Median

Using the data above, find the median. 

Possible Answers:

Correct answer:

Explanation:

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. 

Example Question #62 : How To Find Median

Consider the following set of numbers:

Find the median of the set.

Possible Answers:

Correct answer:

Explanation:

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

Example Question #261 : Statistics And Probability

 represents the product of a number, , and each positive integer before it: .

Find the median:

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #1691 : Algebra 1

What is the median of  and ?

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #1692 : Algebra 1

What is the median of  and ?

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #1693 : Algebra 1

What is the median of  and ?

Possible Answers:

Correct answer:

Explanation:

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:

Example Question #1694 : Algebra 1

Consider the following set of numbers:

Find the median of the set

Possible Answers:

Correct answer:

Explanation:

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.

 

Example Question #271 : Statistics And Probability

Consider the following set:

Find the median of the set.

Possible Answers:

Correct answer:

Explanation:

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.

Example Question #1696 : Algebra 1

What is the median of  and ?

 

 

Possible Answers:

Correct answer:

Explanation:

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 .

Example Question #1697 : Algebra 1

What is the median of 

Possible Answers:

Correct answer:

Explanation:

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:

.

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