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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #15 : How To Find Mode

What is the mode?

$\displaystyle -1, -3, 0, -3, 0, -1, 4, 9, 2$

Possible Answers:

$\displaystyle 0, -1, -3$

-1, -3 $\displaystyle -1, -3$

0, -1 $\displaystyle 0, -1$

0, -3 $\displaystyle 0, -3$

$\displaystyle 0$

Correct answer:

$\displaystyle 0, -1, -3$

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have

$\displaystyle -3, -3, -1, -1, 0, 0, 2, 4, 9$.

$\displaystyle -3, -1, 0$ occur twice while the rest only once.

Therefore, $\displaystyle -3, -1, 0$ is our final answer.

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Example Question #381 : Statistics And Probability

What is the mode?

$\displaystyle 16, 15, 17, 19, 22, 33, 90$

Possible Answers:

$\displaystyle 90$

$\displaystyle 33$

$\displaystyle 19$

$\displaystyle 9$

None

Correct answer:

None

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order.

$\displaystyle 15, 16, 17, 19, 22, 33, 90$.

All the numbers occur once so the answer is none.

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Example Question #382 : Statistics And Probability

What is the mode?

Possible Answers:

25000 $\displaystyle 25000$

150000 $\displaystyle 150000$

200000 $\displaystyle 200000$

$\displaystyle 200000, 250000$

$\displaystyle 150000, 200000$

Correct answer:

25000 $\displaystyle 25000$

Explanation:

Mode is the data point that occurs most frequently.

Based on this data, 25000 $\displaystyle 25000$ occurs the most at five times.

This is our answer.

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Example Question #23 : How To Find Mode

What is the mode?

$\displaystyle 1, 4, 5, 4, 2, 3$

Possible Answers:

$\displaystyle 4$

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 5$

Correct answer:

$\displaystyle 4$

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have

$\displaystyle 1, 2, 3, 4, 4, 5$.

$\displaystyle 4$ occurs twice and is most frequent.

Therefore, $\displaystyle 4$ is the correct answer.

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Example Question #383 : Statistics And Probability

What is the mode?

$\displaystyle 3, 3, 3, 3, 4, 4, 4, 4 6, 6, 7, 7, 7, 8$

Possible Answers:

$\displaystyle 4$

3, 4 $\displaystyle 3, 4$

$\displaystyle 7$

$\displaystyle 46$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

Mode is the data point that occurs most frequently. Since it's in order, we look for the most frequent.

Three appears four times, four appears three times, 46, 6, and 8 appear once, and seven appears three times.

Therefore the mode is $\displaystyle 3$.

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Example Question #25 : How To Find Mode

Determine the mode: $\displaystyle (1,3,3,5,5,1,6)$

Possible Answers:

(1,3,5) $\displaystyle (1,3,5)$

$\displaystyle 6$

(2,4) $\displaystyle (2,4)$

$\textup{There is no mode.}$ $\displaystyle \textup{There is no mode.}$

$\frac{10}{3}$ $\displaystyle \frac{10}{3}$

Correct answer:

(1,3,5) $\displaystyle (1,3,5)$

Explanation:

Reorder the data set in chronological order.

$\displaystyle ({1,3,3,5,5,1,6}) = (1,1,3,3,5,5,6)$

The mode is the most frequent number that appears in the set. There can be more than one mode in a set. The most common numbers are 1,3, and 5.

The correct answer is: (1,3,5) $\displaystyle (1,3,5)$

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Example Question #384 : Statistics And Probability

Determine the mode of $\displaystyle 3, 6, 9, 15, 27$.

Possible Answers:

$\displaystyle 3$

$\displaystyle 12$

There is no mode for this set

$\displaystyle 6$

$\displaystyle 27$

Correct answer:

There is no mode for this set

Explanation:

The mode is the number in a set that appears the most often. Each number in the given series is only seen once. Therefore, the solution is that there is no mode for this sereis.

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Example Question #385 : Statistics And Probability

What is the mode of the numbered set?

$\displaystyle 100, 200, 200, 200, 300, 400, 800, 700, 300, 100, 500, 400, 500, 200, 900$

Possible Answers:

300 $\displaystyle 300$

900 $\displaystyle 900$

200 $\displaystyle 200$

$\displaystyle 3$

The series has no mode.

Correct answer:

200 $\displaystyle 200$

Explanation:

The mode is the most commonly displayed number in the data set. Unlike the median, this is not based on position within the set, so no reordering is (strictly speaking) required. The number 200 occurs four times in the set, with no other number occurring this often. Therefore, the set is unimodal (has one mode), and the mode is 200.

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Example Question #386 : Statistics And Probability

$\small 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , 100$ $\displaystyle \small 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 , 100$

Using the data above, find the mode.

Possible Answers:

$\small 1$ $\displaystyle \small 1$

$\small 10$ $\displaystyle \small 10$

$\small none$ $\displaystyle \small none$

$\small 2$ $\displaystyle \small 2$

$\small 100$ $\displaystyle \small 100$

Correct answer:

$\small none$ $\displaystyle \small none$

Explanation:

The mode is the data value that appears the most often. In this set of data, each value appears only once, we have no numbers that are repeated. Thus, this data set has no mode, answer "none."

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Example Question #387 : Statistics And Probability

Which of the following statements is true of this data set?

$\displaystyle 15, 12, 17, 19, 36, 12, 48, 19, 13, 12, 18, 36, 75, 36$

Possible Answers:

The set is bimodal.

The set has more than one mode.

All of these statements are true.

The mode of the set is 12.

The mode of the set is 36.

Correct answer:

All of these statements are true.

Explanation:

Mode refers to the value in a data set that occurs most often in the set. We can see when we rearrange the set:

$15, 12, 17, 19, 36, 12, 48, 19, 13, 12, 18, 36, 75, 36\rightarrow$ $\displaystyle 15, 12, 17, 19, 36, 12, 48, 19, 13, 12, 18, 36, 75, 36\rightarrow$ $\bf 12, 12, 12,$ $\displaystyle \bf 12, 12, 12,$ $\displaystyle 13, 15, 17, 18, 19,$ $\bf 36, 36, 36,$ $\displaystyle \bf 36, 36, 36,$ 48, 75 $\displaystyle 48, 75$

That there are two values occurring three times each. Both are the mode, thus the system is bimodal.

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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 #15 : How To Find Mode

Example Question #381 : Statistics And Probability

Example Question #382 : Statistics And Probability

Example Question #23 : How To Find Mode

Example Question #383 : Statistics And Probability

Example Question #25 : How To Find Mode

Example Question #384 : Statistics And Probability

Example Question #385 : Statistics And Probability

Example Question #386 : Statistics And Probability

Example Question #387 : Statistics And Probability

All Algebra 1 Resources

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