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Algebra II : Median

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Example Question #61 : Median

Determine the median: [9,-3,28,0]

Possible Answers:

$\frac{17}{2}$

$-\frac{3}2$

$\frac{25}{2}$

$\textup{There is no median.}$

$\frac{9}{2}$

Correct answer:

$\frac{9}{2}$

Explanation:

The median of a set of even numbers is the average of the central two numbers in a least to greatest ordered set.

Arrange the numbers from least to greatest.

$[9,-3,28,0]\rightarrow [ -3,0,9,28]$

Average the center two numbers.

The answer is: $\frac{9}{2}$

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Example Question #62 : Median

What is the median of the following numbers? [0,-9,8,-7,3,39]

Possible Answers:

$\textup{The median cannot be determined.}$

$\frac{17}{3}$

$\frac{3}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Reorganize the data set in chronological order.

$[0,-9,8,-7,3,39]\rightarrow [-9,-7,0,3,8,39]$

The median is the average of the 2 central numbers in an even set of data.

Average the two numbers.

$\frac{0+3}{2} = \frac{3}{2}$

The answer is: $\frac{3}{2}$

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Example Question #63 : Median

Determine the median of the set of numbers: [-5,-8,36,52]

Possible Answers:

$\frac{101}{2}$

$\frac{31}{2}$

$\textup{There is no median.}$

$\frac{75}{4}$

Correct answer:

$\frac{31}{2}$

Explanation:

Rearrange the numbers from least to greatest.

$[-5,-8,36,52]\rightarrow [-8,-5,36,52]$

The median of an even set of numbers is the average of the center two numbers in the data set.

Average the two numbers.

$\frac{-5+36}{2}= \frac{31}{2}$

The answer is: $\frac{31}{2}$

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Example Question #64 : Median

Determine the median of the following set of numbers:

[-2,-8,16,-32,13,7]

Possible Answers:

$\textup{The median does not exist.}$

$\frac{5}{2}$

$-\frac{9}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

In order to determine the median, first we will need to rearrange the numbers from least to greatest.

$[-2,-8,16,-32,13,7]\rightarrow [-32,-8,-2,7,13,16]$

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

Average the two numbers.

$\frac{-2+7}{2} = \frac{5}{2}$

The median is: $\frac{5}{2}$

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Example Question #65 : Median

Determine the median of the numbers: [-4,3,-2,-8,0,1]

Possible Answers:

$\textup{There is no median.}$

$-\frac{5}{3}$

Correct answer:

Explanation:

Reorganize the data set in chronological order from least to greatest.

$[-4,3,-2,-8,0,1]\rightarrow [-8,-4,-2,0,1,3]$

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

Average the two numbers.

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

The answer is:

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Example Question #66 : Median

Determine the median of the numbers: [5,-5,9,0,-3,6,7,8]

Possible Answers:

$\frac{27}{8}$

$\textup{There is no median.}$

$-\frac{3}{2}$

$\frac{11}{2}$

Correct answer:

$\frac{11}{2}$

Explanation:

Organize the numbers from least to greatest.

$[5,-5,9,0,-3,6,7,8]\rightarrow[-5,-3,0,5,6,7,8,9]$

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

Average the two numbers.

$\frac{5+6}{2} =\frac{11}{2}$

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

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Example Question #67 : Median

Determine the median: [-1,-8,30,52]

Possible Answers:

$\frac{73}{4}$

$\frac{31}{2}$

$\textup{There is no median.}$

$\frac{29}{2}$

Correct answer:

$\frac{29}{2}$

Explanation:

The median of an even numbered set of data is the average of the two central numbers in an ordered data set from least to greatest.

Rearrange the numbers so that it's from least to greatest.

$[-1,-8,30,52]\rightarrow[ -8,-1,30,52]$

Average the two central numbers.

$\frac{(-1)+30}{2} = \frac{29}{2}$

The answer is: $\frac{29}{2}$

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Example Question #68 : Median

Determine the median: [-9,-8,-2,-3]

Possible Answers:

$\textup{There is no median.}$

$\frac{11}{2}$

$- \frac{11}{2}$

Correct answer:

$- \frac{11}{2}$

Explanation:

Arrange the numbers from least to greatest.

$[-9,-8,-2,-3]\rightarrow[-9,-8,-3,-2]$

The median of the data set is the average of the central two numbers.

$\frac{-8+(-3)}{2} =- \frac{11}{2}$

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

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Example Question #61 : Median

Determine the median of the following data set: [-9,-7,7,-3,-2,0,1]

Possible Answers:

$-\frac{13}{2}$

$-\frac{3}{2}$

$-\frac{5}{2}$

Correct answer:

Explanation:

Reorganize the data set from least to greatest.

$[-9,-7,7,-3,-2,0,1] \rightarrow[ -9,-7,-3,-2,0,1,7]$

In an odd set of data, the median is the central number of a chronological ordered set of numbers.

The answer is:

Report an Error

Example Question #70 : Median

Determine the median of the numbers: [-10,-3,9,14,26,1000]

Possible Answers:

$\frac{23}{2}$

445

990

$\textup{There is no median.}$

505

Correct answer:

$\frac{23}{2}$

Explanation:

The numbers are already provided in chronological order.

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

Take the average of the two numbers.

$\frac{9+14}{2} = \frac{23}{2}$

The answer is: $\frac{23}{2}$

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Algebra II : Median

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #61 : Median

Example Question #62 : Median

Example Question #63 : Median

Example Question #64 : Median

Example Question #65 : Median

Example Question #66 : Median

Example Question #67 : Median

Example Question #68 : Median

Example Question #61 : Median

Example Question #70 : Median

All Algebra II Resources

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