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Algebra II : Data Properties

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Example Questions

Example Question #1 : Mode

Hours_chart

Within the set of data of the hours worked per week by the staff, what is the mode?

Possible Answers:

$\displaystyle 40$

$\displaystyle 20$

$\displaystyle 35$

$\displaystyle 50$

$\displaystyle 45$

Correct answer:

$\displaystyle 40$

Explanation:

Mode is a value that appears most often in a set of data.

In this case, 40 appears 4 times in the set of data, more than any other number.

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Example Question #2 : Mode

$\displaystyle 1,1,2,4,5,5,6,7,8,8,8$

$\textup{What is the mode of the above set of numbers?}$ $\displaystyle \textup{What is the mode of the above set of numbers?}$

Possible Answers:

$\displaystyle 1$

$\displaystyle 6$

$\displaystyle 2$

$\displaystyle 5$

$\displaystyle 8$

Correct answer:

$\displaystyle 8$

Explanation:

$\textup{The mode is the value appearing most frequently. There are three 8's.}$ $\displaystyle \textup{The mode is the value appearing most frequently. There are three 8's.}$

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Example Question #3 : Mode

Ms. Anderson's class scored the following on her test:

$\displaystyle 82, 83, 73, 34, 57, 80, 73, 56, 83, 54, 89, 33, 58, 73, 90, 95$

What is the mode for this data?

Possible Answers:

$\displaystyle 34$

$\displaystyle 83$

$\displaystyle 72$

$\displaystyle 73$

$\displaystyle 57$

Correct answer:

$\displaystyle 73$

Explanation:

The mode is the value that shows up the most often in a set of data.

73 appears 3 times, where no other value appears as often.

Therefore, 73 must be the mode.

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Example Question #4 : Mode

Jason received his scores from the semester. On the last 10 projects, he scored $\displaystyle 8, 3, 5, 8, 10, 9, 10, 8, 9, 8$ (out of 10 points). What is the mode of this data?

Possible Answers:

$\displaystyle 8$

9.5 $\displaystyle 9.5$

$\displaystyle 9$

8.5 $\displaystyle 8.5$

$\displaystyle 10$

Correct answer:

$\displaystyle 8$

Explanation:

The mode is the number that is found most often.

In this case, 8 is found 4 times, 9 is found 2 times, 10 is found 2 times, 3 is found once, and 5 is found once.

Thus, 8 is the mode.

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Example Question #5 : Mode

Find the mode in the data set: $\displaystyle {1,2,9,3,6,8,9}$

Possible Answers:

$\displaystyle 8$

$\displaystyle 2$

No mode.

$\displaystyle 3$

$\displaystyle 9$

Correct answer:

$\displaystyle 9$

Explanation:

The mode is the number that occurs most frequently in the data set.

The only number that is repeated in this data set is $\displaystyle 9$.

The correct answer is: $\displaystyle 9$

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Example Question #6 : Mode

Find the mode: $\displaystyle {1,2,3,4,5}$

Possible Answers:

$\displaystyle 5$

No mode.

$\displaystyle 3$

$\displaystyle 2$

$\displaystyle 1$

Correct answer:

No mode.

Explanation:

The definition of mode in a data set is the most frequent number that occurs in that data set.

Since there is one of each number, there is no number that happens more than once. Therefore, there is no mode.

The correct answer is: No mode.

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Example Question #7 : Mode

Find the mode of the following set of numbers:

$\displaystyle 1,3,5,5,1,3,7,9,10,5,11$.

Possible Answers:

$\displaystyle 11$

$\displaystyle 10$

$\displaystyle 5$

$\displaystyle 3$

$\displaystyle 1$

Correct answer:

$\displaystyle 5$

Explanation:

The mode of a set is the number that appears most often in the set.

$1,3,{\color{Red} 5},{\color{Red} 5},1,3,7,9,10,{\color{Red} 5},11$ $\displaystyle 1,3,{\color{Red} 5},{\color{Red} 5},1,3,7,9,10,{\color{Red} 5},11$

In this case, the number 5 appears the most at 3 times.

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Example Question #291 : Data Properties

Find the mode of the set:

$\displaystyle 10, 10, 11, 11, 11, 12, 12, 15, 27, 39$

Possible Answers:

$\displaystyle 10$

$\displaystyle 11$

$\displaystyle 12$

$\displaystyle 15$

Correct answer:

$\displaystyle 11$

Explanation:

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set. For this problem that gives us the answer of 11 for the mode.

$10, 10, {\color{Red} 11}, {\color{Red} 11}, {\color{Red} 11}, 12, 12, 15, 27, 39$ $\displaystyle 10, 10, {\color{Red} 11}, {\color{Red} 11}, {\color{Red} 11}, 12, 12, 15, 27, 39$

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Example Question #292 : Data Properties

Find the mode of the set:

$\displaystyle 76, 78, 82, 83, 84, 84, 88, 89, 89, 89, 91, 91, 93, 97, 100, 100$

Possible Answers:

$\displaystyle 89$

$\displaystyle 84$

100 $\displaystyle 100$

$\displaystyle 91$

Correct answer:

$\displaystyle 89$

Explanation:

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set.

$76, 78, 82, 83, 84, 84, 88,{\color{Red} 89}, {\color{Red} 89}, {\color{Red} 89}, 91, 91, 93, 97, 100, 100$ $\displaystyle 76, 78, 82, 83, 84, 84, 88,{\color{Red} 89}, {\color{Red} 89}, {\color{Red} 89}, 91, 91, 93, 97, 100, 100$

For this problem that gives us the answer of 89 for the mode.

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Example Question #293 : Data Properties

Find the mode of the set:

$\displaystyle 32, 33, 33, 34, 35, 37, 38, 41, 42, 45, 47$

Possible Answers:

$\displaystyle 34$

$\displaystyle 37$

$\displaystyle 35$

$\displaystyle 33$

Correct answer:

$\displaystyle 33$

Explanation:

The mode is the most repeated number in the set. To answer this, find the number that occurs the most number of times in the set.

$32, {\color{Red} 33}, {\color{Red} 33}, 34, 35, 37, 38, 41, 42, 45, 47$ $\displaystyle 32, {\color{Red} 33}, {\color{Red} 33}, 34, 35, 37, 38, 41, 42, 45, 47$

For this problem that gives us the answer of 33 for the 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 #1 : Mode

Example Question #2 : Mode

Example Question #3 : Mode

Example Question #4 : Mode

Example Question #5 : Mode

Example Question #6 : Mode

Example Question #7 : Mode

Example Question #291 : Data Properties

Example Question #292 : Data Properties

Example Question #293 : Data Properties

All Algebra II Resources

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