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GED Math : Calculations

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Example Questions

Example Question #1933 : Ged Math

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 #21 : Median

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

Possible Answers:

$\frac{3}{2}$

$\frac{9}{2}$

$-\frac{11}{4}$

$\textup{There is no median.}$

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 #22 : 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 #121 : Calculations

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 #24 : Median

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

Possible Answers:

$\frac{5}{2}$

$\frac{3}{2}$

$\textup{There is no median.}$

$\frac{4}{3}$

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 #25 : 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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Example Question #122 : Calculations

Find the median of the following data set:

44,67,234,989,33,45,64,44,23,34,11

Possible Answers:

144

Correct answer:

Explanation:

Find the median of the following data set:

44,67,234,989,33,45,64,44,23,34,11

Let's begin by putting our numbers in increasing order:

11,23,33,34,44,44,45,64,67,234,989

Next, identify the median by finding the middle value.

$11,23,33,34,44,{\color{Green} 44},45,64,67,234,989$

In this case, it is 44, because 44 is the 6th term in our series, making it the middle value.

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Example Question #123 : Calculations

Find the median of the following data set:

654,767,176,458,654,229,555,144,343,767,654

Possible Answers:

555

431

654

767

Correct answer:

555

Explanation:

Find the median of the following data set:

654,767,176,458,654,229,555,144,343,767,654

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

144,176,229,343,458,555,654,654,654,767,767

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

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Example Question #124 : Calculations

Give the median of the data set:

$\left \{ 6, 3, 2, 1, 5, 1, 9, 2, 1 \right \}$

Possible Answers:

Correct answer:

Explanation:

If the elements of a data set with nine elements - an odd number - are arranged in ascending order, the median of the set is the element that appears in the exact center. The data set, arranged, is

$\left \{ 1,1,1,2, \textbf{{\color{Red} 2}}, 3, 5, 6, 9 \right \}$

The element in the center is 2, which is the median.

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Example Question #125 : Calculations

What is the median for this set of data?

, , , ,

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of a set after it has been ordered from least to greatest. We have numbers in this set, so our middle number should have numbers on both the left and right side of it in order to be in the middle.

is the only number that has numbers on the left and right side of it, so this must be our middle.

Our 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 #1933 : Ged Math

Example Question #21 : Median

Example Question #22 : Median

Example Question #121 : Calculations

Example Question #24 : Median

Example Question #25 : Median

Example Question #122 : Calculations

Example Question #123 : Calculations

Example Question #124 : Calculations

Example Question #125 : Calculations

All GED Math Resources

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