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GED Math : Median

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Example Question #21 : Median

Determine the median of the numbers: [-6,-4,-2,-1,1,1,5,6]

Possible Answers:

$-\frac{3}{2}$

$\textup{There is no median.}$

Correct answer:

Explanation:

The numbers are already arranged in chronological order.

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

$\frac{-1+1}{2} = 0$

The answer is:

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Example Question #22 : Median

Use the following data set to answer the question:

8, 6, 7, 2, 8, 3, 5, 1, 9, 4, 10

Find the median.

Possible Answers:

Correct answer:

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 data set

8, 6, 7, 2, 8, 3, 5, 1, 9, 4, 10

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

1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10

Now, we will find the number in the middle.

$1, 2, 3, 4, 5, {\color{Red} 6}, 7, 8, 8, 9, 10$

We can see that it is 6.

Therefore, the median of the data set is 6.

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Example Question #23 : Median

Find the median: [0,-5,-10,-15,1,2]

Possible Answers:

$-\frac{25}{2}$

$\frac{3}{2}$

$\frac{1}{2}$

$\textup{There is no median.}$

$-\frac{5}{2}$

Correct answer:

$-\frac{5}{2}$

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: $-\frac{5}{2}$

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Example Question #24 : Median

Determine the median of the following numbers: [-4,-8,-7,16]

Possible Answers:

$-\frac{1}{2}$

$-\frac{11}{2}$

$-\frac{3}{4}$

$-\frac{15}{2}$

Correct answer:

$-\frac{11}{2}$

Explanation:

Rearrange the numbers from least to greatest.

$[-4,-8,-7,16] \rightarrow [ -8,-7,-4,16]$

The median of the data set is the average of the two central numbers, since there is an even amount of numbers provided.

$\frac{-7+(-4)}{2} = \frac{-11}{2}$

The answer is: $-\frac{11}{2}$

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Example Question #21 : Median

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

98, 79, 88, 81, 77, 83, 79, 80, 84

Find the median.

Possible Answers:

Correct answer:

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

98, 79, 88, 81, 77, 83, 79, 80, 84

we will first arrange the numbers in ascending order. We get

77, 79, 79, 80, 81, 83, 84, 88, 98

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

$77, 79, 79, 80, {\color{Red} 81}, 83, 84, 88, 98$

Therefore, the median of the data set is 81.

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Example Question #26 : Median

Determine the median of the numbers: [-5,-3,6,-9]

Possible Answers:

$\textup{There is no median.}$

$\frac{3}{2}$

$-\frac{11}{4}$

$\frac{9}{2}$

Correct answer:

Explanation:

Rearrange the numbers from least to greatest.

$[-5,-3,6,-9] \rightarrow [ -9,-5,-3,6]$

Since there is an even amount of numbers the median is the average of the central two numbers in the data set.

$\frac{-5+(-3)}{2} = \frac{-8}{2}$

The answer is:

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Example Question #21 : Median

Timothy received the following scores for four math tests: 87, 88, 90, 85 . 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?

Possible Answers:

100

Correct answer:

100

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 .

350+x=450

x=100

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Example Question #22 : Median

Determine the median: [-3,-1,-5,1,9]

Possible Answers:

$\frac{1}{5}$

Correct answer:

Explanation:

Reorder the numbers from least to greatest.

$[-3,-1,-5,1,9] \to [-5,-3,-1,1,9]$

Since there is an odd amount of numbers, the median is the central number for all the numbers of the ordered set.

The answer is:

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Example Question #22 : Median

Determine the median of the numbers: [-2,-3,6,9]

Possible Answers:

$\textup{There is no median.}$

$\frac{5}{2}$

$\frac{3}{2}$

$\frac{4}{3}$

Correct answer:

Explanation:

Rearrange the numbers from least to greatest.

$[-2,-3,6,9] \rightarrow [ -3,-2,6,9]$

The median is the average of the central two numbers.

$\frac{-2+6}{2} = \frac{4}{2}$

The answer is:

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Example Question #22 : Median

Find the median of the following data set:

14,96,33,59,63,14,44,58,57,12,9

Possible Answers:

41.7

Correct answer:

Explanation:

Find the median of the following data set:

14,96,33,59,63,14,44,58,57,12,9

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

14,96,33,59,63,14,44,58,57,12,9

Becomes:

9,12,14,14,33,44,57,58,59,63,96

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.

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GED Math : Median

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #21 : Median

Example Question #22 : Median

Example Question #23 : Median

Example Question #24 : Median

Example Question #21 : Median

Example Question #26 : Median

Example Question #21 : Median

Example Question #22 : Median

Example Question #22 : Median

Example Question #22 : Median

All GED Math Resources

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