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Algebra II : Basic Statistics

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Example Questions

Example Question #321 : 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:

1,8

$\textup{There is no mode.}$

$\frac{29}{9}$

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:

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

$\textup{There is no mode.}$

$\pm 1$

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:

$\frac{1}{6}$

$\textup{No mode. }$

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:

0,1,5

$\frac{3}{2}$

-1,2,3,4

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:

$5\%, 100\%$

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

$\textup{There is no mode.}$

$5\%$

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 #41 : Mode

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

Possible Answers:

1383

952

$\frac{461}{2}$

$\textup{No mode.}$

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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Example Question #331 : Data Properties

Identify the mode, if any: [5,4,3,2,-1,0,18,61,24]

Possible Answers:

$\textup{No mode.}$

Correct answer:

$\textup{No mode.}$

Explanation:

The mode is the number or numbers that have the highest frequency of occurrence.

Every number appears once in the data set. This means that there is no mode available for this data set.

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

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Example Question #332 : Data Properties

Determine the mode of the numbers: [0,2,3,5,-9,1,2]

Possible Answers:

$\textup{There is no mode possible in this data set.}$

$\textup{The answer is not given.}$

Correct answer:

Explanation:

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

The only number that appears more often than the other numbers given is the value of .

This means that the mode is .

The answer 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 #321 : 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 #41 : Mode

Example Question #331 : Data Properties

Example Question #332 : Data Properties

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