GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #6 : Median

Use the following data set of test scores to answer the question:

\(\displaystyle 78, 95, 84, 81, 93, 88, 83\)

Find the median.

Possible Answers:

\(\displaystyle 83\)

\(\displaystyle 84\)

\(\displaystyle 88\)

\(\displaystyle 81\)

\(\displaystyle 93\)

Correct answer:

\(\displaystyle 84\)

Explanation:

To find the median score, 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

\(\displaystyle 78, 95, 84, 81, 93, 88, 83\)

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

\(\displaystyle 78, 81, 83, 84, 88, 93, 95\)

Now, we will find the number in the middle. 

\(\displaystyle 78, 81, 83, {\color{Red} 84}, 88, 93, 95\)

We can see that it is 84. 

Therefore, the median score of the data set is 84.

Example Question #7 : Median

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

\(\displaystyle 78, 76, 88, 81, 93, 86, 81, 92, 84\)

Find the median score.

Possible Answers:

\(\displaystyle 84\)

\(\displaystyle 81\)

\(\displaystyle 85\)

\(\displaystyle 76\)

\(\displaystyle 93\)

Correct answer:

\(\displaystyle 84\)

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

\(\displaystyle 78, 76, 88, 81, 93, 86, 81, 92, 84\)

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

\(\displaystyle 76, 78, 81, 81, 84, 86, 88, 92, 93\)

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

\(\displaystyle 76, 78, 81, 81, {\color{Red} 84}, 86, 88, 92, 93\)

we can see that it is 84.

Therefore, the median score is 84.

Example Question #102 : Statistics

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

\(\displaystyle 78, 79, 85, 81, 99, 94, 89, 82, 93, 77, 80\)

Find the median.

Possible Answers:

\(\displaystyle 89\)

\(\displaystyle 85\)

\(\displaystyle 82\)

\(\displaystyle 80\)

\(\displaystyle 81\)

Correct answer:

\(\displaystyle 82\)

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

\(\displaystyle 78, 79, 85, 81, 99, 94, 89, 82, 93, 77, 80\)

we will arrange the numbers in ascending order (from smallest to largest). We get

\(\displaystyle 77, 78, 79, 80, 81, 82, 85, 89, 93, 94, 99\)

Now, we will find the number in the middle of the set. 

\(\displaystyle 77, 78, 79, 80, 81, {\color{Red} 82}, 85, 89, 93, 94, 99\)

Therefore, the median of the data set is 82. 

Example Question #5 : Median

Solve for the median:  \(\displaystyle [0,9,11,15,-1]\)

Possible Answers:

\(\displaystyle \frac{34}{5}\)

\(\displaystyle 35\)

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

Reorder the numbers from least to greatest.

\(\displaystyle [0,9,11,15,-1] \rightarrow [ -1,0,9,11,15]\)

In an odd set of data, the median is the central number of this data set.

The answer is:  \(\displaystyle 9\)

Example Question #101 : Statistics

Identify the median:  \(\displaystyle [1,5,9,1,5,9,-1,-5]\)

Possible Answers:

\(\displaystyle 24\)

\(\displaystyle 7\)

\(\displaystyle 1\)

\(\displaystyle 3\)

\(\displaystyle \textup{There is no median.}\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Reorder all the numbers in chronological order.

\(\displaystyle [1,5,9,1,5,9,-1,-5] \rightarrow [ -5,-1,1,1,5,5,9,9]\)

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

\(\displaystyle \frac{1+5}{2}=3\)

The median is:  \(\displaystyle 3\)

Example Question #11 : Median

A class took a Math exam. Here are the test scores of 9 students.

\(\displaystyle 84, 76, 81, 88, 91, 85, 76, 90, 80\)

Find the median.

Possible Answers:

\(\displaystyle 85\)

\(\displaystyle 84\)

\(\displaystyle 90\)

\(\displaystyle 80\)

\(\displaystyle 81\)

Correct answer:

\(\displaystyle 84\)

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

\(\displaystyle 84, 76, 81, 88, 91, 85, 76, 90, 80\)

we will arrange the numbers in ascending order (from smallest to largest). We get

\(\displaystyle 76, 76, 80, 81, 84, 85, 88, 90, 91\)

Now, we will find the number in the middle of the set.

\(\displaystyle 76, 76, 80, 81, {\color{Red} 84}, 85, 88, 90, 91\)

Therefore, the median of the data set is 84. 

Example Question #11 : Median

Determine the median of the numbers:  \(\displaystyle [-5,13,-21,-12]\)

Possible Answers:

\(\displaystyle -\frac{25}2\)

\(\displaystyle -\frac{1}{4}\)

\(\displaystyle \frac{25}{4}\)

\(\displaystyle -\frac{25}{4}\)

\(\displaystyle - \frac{17}{2}\)

Correct answer:

\(\displaystyle - \frac{17}{2}\)

Explanation:

Reorder the numbers from least to greatest.

\(\displaystyle [-5,13,-21,-12] \rightarrow [-21,-12,-5,13]\)

The median is the average of the central numbers of an ordered set of numbers.

\(\displaystyle \frac{-12+(-5)}{2} = \frac{-17}{2} =- \frac{17}{2}\)

The answer is:  \(\displaystyle - \frac{17}{2}\)

Example Question #12 : Median

Determine the median:  \(\displaystyle [5,-6,-7,14]\)

Possible Answers:

\(\displaystyle -\frac{13}{4}\)

\(\displaystyle \frac{3}{2}\)

\(\displaystyle -\frac{1}{2}\)

\(\displaystyle -\frac{13}{2}\)

\(\displaystyle -\frac{1}{4}\)

Correct answer:

\(\displaystyle -\frac{1}{2}\)

Explanation:

Rewrite the data set from least to greatest.

\(\displaystyle [5,-6,-7,14] \rightarrow [-7,-6,5,14]\)

Average the central two numbers.

\(\displaystyle \frac{-6+5}{2} = -\frac{1}{2}\)

The answer is:   \(\displaystyle -\frac{1}{2}\)

Example Question #102 : Statistics

Find the median:  \(\displaystyle [-9,11,-3,1,0]\)

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle -3\)

\(\displaystyle 20\)

\(\displaystyle 11\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle 0\)

Explanation:

Reorder the numbers in the data set from least to greatest.

\(\displaystyle [-9,11,-3,1,0]\rightarrow [-9,-3,0,1,11]\)

The median is the central number for an odd set of numbers.

The answer is:  \(\displaystyle 0\)

Example Question #12 : Median

Identify the median:  \(\displaystyle [2,8,3,0,-5,-4]\)

Possible Answers:

\(\displaystyle \textup{There is no median.}\)

\(\displaystyle \frac{3}{2}\)

\(\displaystyle 1\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{1}{3}\)

Correct answer:

\(\displaystyle 1\)

Explanation:

Reorder the numbers from least to greatest.

\(\displaystyle [2,8,3,0,-5,-4]\rightarrow [ -5,-4,0,2,3,8]\)

For an even number of values in a set of data, the median is the average of the central two numbers.

\(\displaystyle \frac{0+2}{2} = 1\)

The answer is:  \(\displaystyle 1\)

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