GED Math - Median | Practice Hub

Identify the median:

$-\frac{1}{3}$

Explanation

Reorder the numbers from least to greatest.

$[-2,-2,-9,-9,10,10]\rightarrow [ -9,-9,-2,-2,10,10]$

For an even amount of numbers given, the median is the average of the central two numbers.

$\frac{-2+(-2)}{2} = \frac{-4}{2}$

The answer is:

A Science class took an exam. Here are the scores of 9 students:

Find the median score.

Explanation

To find the median score, we will first arrange the scores in ascending order. Then, we will find the score in the middle of the set.

So, given the set

we will first arrange them in ascending order (from smallest to largest). So, we get

Now, we will find the score in the middle of the set

$76, 78, 81, 81, {\color{Red} 84}, 86, 88, 92, 93$

we can see that it is 84.

Therefore, the median score is 84.

Identify the median:

$\textup{There is no median.}$

Explanation

Reorder all the numbers in chronological order.

$[1,5,9,1,5,9,-1,-5] \rightarrow [ -5,-1,1,1,5,5,9,9]$

The median of an even set of numbers is the average of the central two numbers.

$\frac{1+5}{2}=3$

The median is:

Find the median:

$-\frac{5}{2}$

$-\frac{25}{2}$

$\frac{3}{2}$

$\frac{1}{2}$

$\textup{There is no median.}$

Explanation

Rearrange the numbers from least to greatest.

$[0,-5,-10,-15,1,2]\rightarrow [ -15,-10,-5,0,1,2]$

For an even set of numbers, the median is the average of the two central numbers.

$\frac{-5+0}{2} = -\frac{5}{2}$

The answer is: $-\frac{5}{2}$

Find the median of the following data set:

Explanation

Find the median of the following data set:

To find the median, first place your terms in increasing order

Next, ID the median by simply choosing the middle term.

$144,176,229,343,458, {\color{Blue} 555},654,654,654,767,767$

So, our answer is 555

Find the median of the following data set:

Explanation

Find the median of the following data set:

To find the median, let's first put our terms in increasing order:

Becomes:

Now, our median is simply the middle term. It is the term which has exactly 50% of the rest of the terms to either side of it.

$9,12,14,14,33,{\color{Blue} 44},57,58,59,63,96$

In this case, it must be 44.

What is the median to this set?

, , , ,

Explanation

In order to find the median, we must first put our set in order from least to greatest. We can see that it is not in order, so let's make it so.

, , , ,

Our set is now in order, and we can see that we have numbers in this set. This means that our median will have numbers on either side of it.

is the only number that has numbers on either side of it, making it our median.

Our answer is .

Timothy received the following scores for four math tests: . In order to get on the honor roll, Timothy must have an average of in his math class. He has one last test coming up. What must he score on the last test in order to make the honor roll?

Explanation

Recall how to find the average of a set of numbers:

$\text{Average}=\frac{\text{Sum of Terms}}{\text{Number of terms}}$

Since we have a total of tests, we can write the following equation by using the information given by the question:

$90=\frac{87+88+90+85+x}{5}$ ,

where is the score Timothy must earn on his final test.

Now, solve for .

A class took a Math exam. Here are the test scores of 11 students.

Find the median.

Explanation

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set. So, given the set