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Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

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10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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:

$-\frac{3}{2}$

$-\frac{5}{2}$

$-\frac{13}{2}$

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:

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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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Example Question #71 : Median

Determine the median: [-3,9,-5,0,-33,-77,23]

Possible Answers:

100

$-\frac{86}{7}$

Correct answer:

Explanation:

Organize the data set from least to greatest.

$[-3,9,-5,0,-33,-77,23]\rightarrow[-77,-33,-5,-3,0,9,23]$

The median is the central number in an odd number of numbers provided.

The answer is:

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Example Question #72 : Median

Determine the median: [-9,30,5,-7]

Possible Answers:

$\textup{There is no median.}$

$\frac{35}{2}$

Correct answer:

Explanation:

The median is the center number of a data set. However, since we have an even number of numbers given, we will need to arrange the set from least to greatest, and average the central two numbers.

Reorganize the numbers from least to greatest.

$[-9,30,5,-7] \rightarrow [ -9,-7,5,30]$

Average the two center numbers in the data set.

$\frac{-7+5}{2} = \frac{-2}{2}=-1$

The answer is:

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Example Question #73 : Median

Determine the median: [ -6,33,-8,50]

Possible Answers:

$\frac{25}{2}$

$\frac{41}{2}$

$\textup{There is no median.}$

$\frac{27}{2}$

$-\frac{41}{2}$

Correct answer:

$\frac{27}{2}$

Explanation:

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

$[ -6,33,-8,50] \rightarrow [-8,-6,33,50]$

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

Average the two numbers.

$\frac{-6+33}{2} = \frac{27}{2}$

The answer is: $\frac{27}{2}$

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Example Question #74 : Median

Determine the median of the numbers: [2,66,84,95]

Possible Answers:

$\frac{247}{2}$

$\frac{147}{2}$

$\textup{There is no median.}$

$\frac{97}{2}$

Correct answer:

Explanation:

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

The set is already in order from least to greatest.

Average the two center numbers.

$\frac{66+84}{2} = 75$

The answer is:

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Example Question #75 : Median

Determine the median: [-9,3,-9,18,-9,8]

Possible Answers:

$\frac{9}{2}$

Correct answer:

Explanation:

The median of an even numbered set of numbers is the average of the center two numbers of a data set from least to greatest.

Rearrange the numbers from least to greatest.

$[-9,3,-9,18,-9,8] \rightarrow [ -9,-9,-9,3,8,18]$

Average the center two numbers.

$\frac{-9+3}{2} = \frac{-6}{2}$

The answer is:

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Example Question #76 : Median

Determine the median: [-9,-9,-8,13,27,61]

Possible Answers:

$\textup{There is no median.}$

$\frac{25}{3}$

$\frac{21}{2}$

$\frac{25}{2}$

$\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

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

The set of numbers are already from least to greatest.

Average the two center numbers.

$\frac{-8+13}{2} = \frac{5}{2}$

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

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Example Question #77 : Median

Determine the median of the numbers: [-5,11,-9,-15]

Possible Answers:

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

Correct answer:

Explanation:

Reorganize all the numbers from least to greatest.

$[-5,11,-9,-15]\rightarrow [-15,-9,-5,11]$

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

Average the two numbers.

$\frac{-9+(-5)}{2} = \frac{-14}{2} = -7$

The median is:

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Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #68 : Median

Example Question #61 : Median

Example Question #70 : Median

Example Question #71 : Median

Example Question #72 : Median

Example Question #73 : Median

Example Question #74 : Median

Example Question #75 : Median

Example Question #76 : Median

Example Question #77 : Median

All Algebra II Resources

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