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Algebra 1 : Statistics and Probability

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Mode

A set comprises ten elements, which are

$\begin{Bmatrix} 10, 12, 18, 12, 19, 20, 12, 19, 11, N \end{Bmatrix}$ $\displaystyle \begin{Bmatrix} 10, 12, 18, 12, 19, 20, 12, 19, 11, N \end{Bmatrix}$

where $\displaystyle N$ stands for an unknown number.

What can $\displaystyle N$ be set to in order to make the set bimodal?

Possible Answers:

The set cannot be bimodal for any value of N.

$\displaystyle 12$

$\displaystyle 19$

$\displaystyle 10$

$\displaystyle 11$

Correct answer:

$\displaystyle 19$

Explanation:

12 appears in the set most frequently, appearing three times; 19 is second in frequency, appearing twice. 10, 11, 18, and 20 appear once each.

The only number we can set $\displaystyle N$ to to make two data values tie for appearing most frequently is 19; 12 and 19 would then each appear three times, and the others, once. If $\displaystyle N$ is set to any other number, 12 would remain the most frequent data value.

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Example Question #371 : Statistics And Probability

Hours_chart

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

Possible Answers:

$\displaystyle 40$

$\displaystyle 35$

$\displaystyle 50$

$\displaystyle 45$

$\displaystyle 20$

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:

$\displaystyle 1$

$\displaystyle 8$

$\displaystyle 2$

$\displaystyle 6$

$\displaystyle 5$

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 #372 : Statistics And Probability

What is the mode?

$\displaystyle 11, 22, 3, 33, 4, 5, 9, 100$

Possible Answers:

$\displaystyle 10$

$\displaystyle 3$

None

$\displaystyle 11$

100 $\displaystyle 100$

Correct answer:

None

Explanation:

Mode is the data point that occurs most frequently. In this case each data point occurs only once, so there is no mode. Answer is none.

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Example Question #14 : How To Find Mode

What is the mode

Q10

Possible Answers:

$\displaystyle D$

None

$\displaystyle B$

B, D $\displaystyle B, D$

$\displaystyle C$

Correct answer:

B, D $\displaystyle B, D$

Explanation:

Mode is the data point that occurs most frequently. According to the data, we have B, D $\displaystyle B, D$ occuring four times, followed by $\displaystyle A$ is three times and $\displaystyle C$ only twice. The answer is just B, D $\displaystyle B, D$.

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Example Question #373 : Statistics And Probability

What is the mode?

Possible Answers:

$\displaystyle 11$

$\displaystyle 2$

$\displaystyle 30$

None

$\displaystyle 1$

Correct answer:

$\displaystyle 11$

Explanation:

Mode is the data point that occurs most frequently. This is a stem and leaf plot where the left side represents the tens and right side is ones. The number that occurs the most is $\displaystyle 11$ which is twice.

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Example Question #374 : Statistics And Probability

What is the mode?

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

Possible Answers:

$\displaystyle 3$

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 5$

$\displaystyle 7$

Correct answer:

$\displaystyle 2$

Explanation:

Mode is the data point that occurs most frequently. $\displaystyle 2$ occurs twice and is the only one that occurs more than the others. $\displaystyle 2$ is the correct answer.

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Example Question #12 : Mode

What is the mode?

$\displaystyle 13, 12, 14, 15, 15, 16, 16, 17, 18, 15, 14, 13$

Possible Answers:

13, 14 $\displaystyle 13, 14$

$\displaystyle 15$

$\displaystyle 14$

$\displaystyle 13, 14, 15$

14, 15 $\displaystyle 14, 15$

Correct answer:

$\displaystyle 15$

Explanation:

Mode is the data point that occurs most frequently. If we arrange in increasing order, we have

$\displaystyle 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18$.

$\displaystyle 15$ occurs most frequently as it appears three times.

Some of them occur twice which isn't good enough.

$\displaystyle 15$ is the correct answer.

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Example Question #17 : How To Find Mode

What is the mode?

$\displaystyle 7, 6, 5, 2, 8, 7, 6, 4, 9, 10, 1$

Possible Answers:

7, 6 $\displaystyle 7, 6$

$\displaystyle 10$

$\displaystyle 7$

$\displaystyle 6$

$\displaystyle 1$

Correct answer:

7, 6 $\displaystyle 7, 6$

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have

$\displaystyle 1, 2, 4, 5, 6, 6, 7, 7, 8, 9, 10$.

$\displaystyle 6$ and $\displaystyle 7$ occur twice and are the most frequent. We can have more than one mode so the answer is 6,7 $\displaystyle 6,7$.

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Example Question #18 : How To Find Mode

What is the mode?

$\displaystyle 17, 5, 18, 9, 9, 17, 18, 5, 17$

Possible Answers:

$\displaystyle 17$

17, 18 $\displaystyle 17, 18$

5, 17 $\displaystyle 5, 17$

$\displaystyle 18$

9, 18 $\displaystyle 9, 18$

Correct answer:

$\displaystyle 17$

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have

$\displaystyle 5, 5, 9, 9, 17, 17, 17, 18, 18$.

$\displaystyle 17$ occurs three times while the rest only twice.

Therefore, $\displaystyle 17$ is the answer.

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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : Mode

Example Question #371 : Statistics And Probability

Example Question #2 : Mode

Example Question #372 : Statistics And Probability

Example Question #14 : How To Find Mode

Example Question #373 : Statistics And Probability

Example Question #374 : Statistics And Probability

Example Question #12 : Mode

Example Question #17 : How To Find Mode

Example Question #18 : How To Find Mode

All Algebra 1 Resources

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