Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #91 : How To Find Median

Find the median in the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the median of a set of numbers, you arrange the numbers in ascending order and locate the middle number.  

From our set of numbers

We will arrange them in ascending order.  

We get

Now, we find the number located in the middle or center.  

That number is 5.

Therefore, the median is 5.

Example Question #92 : How To Find Median

Find the median of the following data set:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following data set:

Median is the middle value when the terms are arranged in ascending order. 

Begin by ordering the terms from smallest to greatest:

Next, find the number in the middle. In this case, it is simply 36. Meaning that our answer is 36.

Example Question #93 : How To Find Median

Find the median of the following values:

Possible Answers:

Correct answer:

Explanation:

The median is the middle, so write the list in order:

 4, 5, 8, 18, 20

There are 5 numbers, so the middle will be the 3rd number or 

So, 8 is the median.

Example Question #94 : How To Find Median

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To solve, simply order the numbers and find the one equidistant from the minimum and maximum. Thus, the answer is .

Example Question #95 : How To Find Median

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following set of numbers:

Median is found by ordering the number set from least to greatest, and then picking out the middle value or averaging the two middle values (if there is an even number of terms in the set).

So our set becomes:

So our two middle values (because we have 12 terms total, we need to find the average of the middle two) are:

So, let's average them:

So we have 39 as our answer

Example Question #95 : How To Find Median

A class had the following scores for their last exam:

What is the class median?

Possible Answers:

Correct answer:

Explanation:

Median means the middle of a sorted set of numbers. That is, it is the exact middle of a set of numbers. 

In order to solve for median, we must allign the numbers in order in increasing value.

This number set will become:

As you cross out one number from each side, you will eventually be left with the remaining number if there is an odd number of numbers. If there is an even number of numbers, the median will be the average of the last two remaining numbers. 

Because there is an odd number of numbers in the data set, 74 is the remaining number and therefore the median of the set.

Example Question #96 : How To Find Median

Four friends received the following times in minutes when they ran the mile:

What is the median of their scores?

Possible Answers:

Not applicable 

Correct answer:

Explanation:

Median means the middle of a sorted set of numbers. That is, it is the exact middle of a set of numbers. 

In order to solve for median, we must allign the numbers in order in increasing value.

This number set will become:

As you cross out one number from each side, you will eventually be left with the remaining number if there is an odd number of numbers. If there is an even number of numbers, the median will be the average of the last two remaining numbers. 

By omitting the smallest and largest numbers, we're left with two remaining times. The median will be the exact middle of these two numbers, therefore it will be the mean of the two numbers.

Example Question #21 : Median

A P.E. class took the height of every student in inches. These were the results:

Find the median of the class's data set.

Possible Answers:

Correct answer:

Explanation:

Median means the middle of a sorted set of numbers. That is, it is the exact middle of a set of numbers. 

In order to solve for median, we must allign the numbers in order in increasing value.

This number set will become:

As you cross out one number from each side, you will eventually be left with the remaining number if there is an odd number of numbers. If there is an even number of numbers, the median will be the average of the last two remaining numbers. 

Because we're left with two numbers, we must take their mean (average) to solve for the median of the data set.

Example Question #97 : How To Find Median

Find the median of the following number set:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following number set:

To find the median we must first arrange the terms in increasing order.

Now, finding the median is as easy as finding the middle number

Because 97 is the middle value, it is our median.

 

Example Question #98 : How To Find Median

Find the median of the following dataset:  

Possible Answers:

Correct answer:

Explanation:

The median is the center number of an odd amount of numbers in a chronologically ordered dataset from least to greatest

If there is an even amount of numbers in the set, the median is the average of the middle two numbers in a chronological ordered dataset from least to greatest.

In the given dataset, we have unknown variables that are not defined.  The variables  can be any specific number.  Since these are not defined, we do not have sufficient information to solve for the median.

The answer is:  

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