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Algebra II : Data Properties

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Example Questions

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Example Question #33 : Mode

Determine the mode of the set of numbers: [5,9,6,10,6,10,9,3]

Possible Answers:

3,5

6,9,10

$\frac{15}{2}$

$\textup{There is no mode.}$

$\frac{29}{4}$

Correct answer:

6,9,10

Explanation:

Identify the highest occurrence of the numbers in the data set. The mode includes all numbers that has the highest frequency that occurs in the data.

The values six, nine, and ten, occurs twice, while three and five occurs only once.

The mode is: 6,9,10

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Example Question #34 : Mode

Determine the mode of the set of data: [4,-4,9,9,-4,1,10]

Possible Answers:

$\textup{There is no mode.}$

$\frac{25}{7}$

-4,9

$\frac{5}{2}$

Correct answer:

-4,9

Explanation:

The mode is the number or numbers that have the highest occurrence in the set of data.

The numbers nine and negative four occurs twice, and the other numbers occur only one. Do not mix the definition of mode with mean and median.

The answer is: -4,9

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Example Question #323 : Data Properties

Determine the mode of the data set: [1,1,2,3,5,8,13]

Possible Answers:

$\frac{33}{7}$

Correct answer:

Explanation:

The mode is defined as the number or numbers that occurs most often in the data set. There can be more than one mode.

The only number that occurs more than once is . All other numbers has a frequency of one, while the number 1 has a frequency of two.

The mode is:

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Example Question #37 : Mode

Solve for the mode: [1,0,8,8,6,1,7,3,-5]

Possible Answers:

$\frac{29}{9}$

$\textup{There is no mode.}$

1,8

Correct answer:

1,8

Explanation:

The mode includes the number or numbers in a data set that has the highest frequency of occurrence.

The numbers and occurred twice in the data set.

The other numbers only appear once.

The answer is: 1,8

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Example Question #38 : Mode

Determine the mode of the numbers: $[1,i^2,\pi,e,-1,i^4]$

Possible Answers:

$\pm 1$

$\textup{There is no mode.}$

$\frac{\pi+ e}{2}$

Correct answer:

$\pm 1$

Explanation:

The mode will include numbers that has the highest frequency in the data set.

The values of some terms is not simplified.

$i^2= i\cdot i = -1$

$i^4 = i^2\cdot i^2 = (-1)\cdot (-1) = 1$

Rewrite the data set.

$[1,i^2,\pi,e,-1,i^4]\rightarrow [1,-1,\pi,e,-1,1]$

Notice that now both positive and negative one occurs twice.

The mode is: $\pm 1$

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Example Question #35 : Mode

Determine the mode: [-5,-9,6,7,2,0]

Possible Answers:

$\textup{No mode. }$

$\frac{1}{6}$

Correct answer:

$\textup{No mode. }$

Explanation:

The mode is defined as the number or numbers that have the highest frequencies in a data set. Notice that each number occurs only once in the given data.

This means that there is no mode existent for the data set. Do not confuse mode with range, mean, or median.

The answer is: $\textup{No mode. }$

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Example Question #36 : Mode

What is the mode of the numbers? [0,0,1,1,2,3,4,5,5,-1]

Possible Answers:

-1,2,3,4

0,1,5

$\frac{3}{2}$

Correct answer:

0,1,5

Explanation:

The mode is defined as the number or numbers in the data set that has the most occurrences.

The numbers zero, one, and five occurs twice in the set of numbers while the other numbers occur only once.

The answer is: 0,1,5

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Example Question #41 : Mode

Determine the mode: $[\frac{1}{2}, 3, 5\%, 100\%, 1]$

Possible Answers:

$5\%, \frac{1}{2}$

$5\%, 100\%$

$5\%$

$\textup{There is no mode.}$

Correct answer:

Explanation:

The mode is defined as the number or numbers that have the highest frequency in the set of data. Convert all percentages to numbers or fractions.

$[\frac{1}{2}, 3, 5\%, 100\%, 1] \rightarrow [\frac{1}{2}, 3 , \frac{1}{20}, 1,1]$

Notice that after the conversion, we can see that there are two values in the data set.

Do not confuse $5\%$ with one half!

The mode is:

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Example Question #42 : Mode

Determine the mode of the numbers: [1,1,9,9,8,8,7,-1]

Possible Answers:

$\frac{21}{4}$

1,8,9

Correct answer:

1,8,9

Explanation:

The mode will include all numbers that has the highest frequencies in the set of data.

The numbers 1,8,9 occurs twice in the set of data while the other numbers only appear once.

This means that 1,8,9 will be the mode.

The answer is: 1,8,9

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Example Question #321 : Data Properties

What is the mode of the data set? [49,84,99,100,1001,50]

Possible Answers:

952

$\textup{No mode.}$

1383

$\frac{461}{2}$

Correct answer:

$\textup{No mode.}$

Explanation:

The mode is defined as the number or numbers that have the highest frequency in the data set.

Every number appears only once in the data set.

Do not count individual digits as the mode, or confuse the mode with the range or average.

The answer is: $\textup{No mode.}$

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Algebra II : Data Properties

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #33 : Mode

Example Question #34 : Mode

Example Question #323 : Data Properties

Example Question #37 : Mode

Example Question #38 : Mode

Example Question #35 : Mode

Example Question #36 : Mode

Example Question #41 : Mode

Example Question #42 : Mode

Example Question #321 : Data Properties

All Algebra II Resources

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