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GED Math : Calculations

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Example Questions

Example Question #101 : Calculations

Philip went to a family reunion this weekend and met his extended cousins, whose ages were the following:

10, 21, 7, 8, 19, 20, 8, 15, 17, and 13.

What is the median age?

Possible Answers:

Correct answer:

Explanation:

The median is the middle number in a data set.

To find the median, rearrange the numbers in ascending order and find the middle number:

Given: 10, 21, 7, 8, 19, 20, 8, 15, 17, 13.

In order: 7, 8, 8, 10, 13, 15, 17, 19, 20, 21.

Since the data set has 10 numbers, which is even, the median is the average of the two middle numbers. The two numbers in the middle of this data set are 13 and 15. Their average, or the number in between them, is 14.

Therefore the median age is 14.

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Example Question #6 : Median

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

78, 95, 84, 81, 93, 88, 83

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

78, 95, 84, 81, 93, 88, 83

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

78, 81, 83, 84, 88, 93, 95

Now, we will find the number in the middle.

$78, 81, 83, {\color{Red} 84}, 88, 93, 95$

We can see that it is 84.

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

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Example Question #7 : Median

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

78, 76, 88, 81, 93, 86, 81, 92, 84

Find the median score.

Possible Answers:

Correct answer:

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

78, 76, 88, 81, 93, 86, 81, 92, 84

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

76, 78, 81, 81, 84, 86, 88, 92, 93

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.

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Example Question #5 : Median

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

78, 79, 85, 81, 99, 94, 89, 82, 93, 77, 80

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 set

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

77, 78, 79, 80, 81, 82, 85, 89, 93, 94, 99

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

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

Therefore, the median of the data set is 82.

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Example Question #102 : Statistics

Solve for the median: [0,9,11,15,-1]

Possible Answers:

$\frac{34}{5}$

Correct answer:

Explanation:

Reorder the numbers from least to greatest.

$[0,9,11,15,-1] \rightarrow [ -1,0,9,11,15]$

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

The answer is:

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Example Question #9 : Median

Identify the median: [1,5,9,1,5,9,-1,-5]

Possible Answers:

$\textup{There is no median.}$

Correct answer:

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:

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Example Question #102 : Calculations

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

84, 76, 81, 88, 91, 85, 76, 90, 80

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 set

84, 76, 81, 88, 91, 85, 76, 90, 80

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

76, 76, 80, 81, 84, 85, 88, 90, 91

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

$76, 76, 80, 81, {\color{Red} 84}, 85, 88, 90, 91$

Therefore, the median of the data set is 84.

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Example Question #102 : Calculations

Determine the median of the numbers: [-5,13,-21,-12]

Possible Answers:

$-\frac{25}{4}$

$-\frac{25}2$

$-\frac{1}{4}$

$- \frac{17}{2}$

$\frac{25}{4}$

Correct answer:

$- \frac{17}{2}$

Explanation:

Reorder the numbers from least to greatest.

$[-5,13,-21,-12] \rightarrow [-21,-12,-5,13]$

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

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

The answer is: $- \frac{17}{2}$

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Example Question #13 : Median

Determine the median: [5,-6,-7,14]

Possible Answers:

$\frac{3}{2}$

$-\frac{13}{2}$

$-\frac{13}{4}$

$-\frac{1}{2}$

$-\frac{1}{4}$

Correct answer:

$-\frac{1}{2}$

Explanation:

Rewrite the data set from least to greatest.

$[5,-6,-7,14] \rightarrow [-7,-6,5,14]$

Average the central two numbers.

$\frac{-6+5}{2} = -\frac{1}{2}$

The answer is: $-\frac{1}{2}$

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Example Question #103 : Calculations

Find the median: [-9,11,-3,1,0]

Possible Answers:

Correct answer:

Explanation:

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

$[-9,11,-3,1,0]\rightarrow [-9,-3,0,1,11]$

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

The answer is:

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GED Math : Calculations

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #101 : Calculations

Example Question #6 : Median

Example Question #7 : Median

Example Question #5 : Median

Example Question #102 : Statistics

Example Question #9 : Median

Example Question #102 : Calculations

Example Question #102 : Calculations

Example Question #13 : Median

Example Question #103 : Calculations

All GED Math Resources

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