Common Core: 8th Grade Math : Statistics & Probability

Study concepts, example questions & explanations for Common Core: 8th Grade Math

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Example Questions

Example Question #11 : Construct And Interpret Scatter Plots: Ccss.Math.Content.8.Sp.A.1

Select the answer choice with a data set that includes an outlier. 

Possible Answers:

Correct answer:

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

 has a much larger value than the other number in the set; thus,  is an outlier. 

Example Question #12 : Construct And Interpret Scatter Plots: Ccss.Math.Content.8.Sp.A.1

Select the answer choice with a data set that includes an outlier. 

Possible Answers:

Correct answer:

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

 has a much larger value than the other number in the set; thus,  is an outlier. 

Example Question #522 : Grade 8

Select the answer choice with a data set that includes an outlier. 

Possible Answers:

Correct answer:

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

 has a much smaller value than the other number in the set; thus,  is an outlier. 

Example Question #13 : Construct And Interpret Scatter Plots: Ccss.Math.Content.8.Sp.A.1

Select the answer choice with a data set that includes an outlier. 

Possible Answers:

Correct answer:

Explanation:

To answer this question correctly, we need to recall what "outlier" means. An outlier is a value that is much smaller or larger than the rest of the values in a set of data. Also, a data point that does not follow the same pattern as the rest of the set could be described as an outlier.

In this case, we are looking for a number that doesn't match with the other numbers provided in a set:

 has a much smaller value than the other number in the set; thus,  is an outlier. 

Example Question #11 : Statistics & Probability

The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, select the best answer that describes the direction of the points. 

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Possible Answers:

A negative, non linear association 

A positive, nonlinear association 

A positive, linear association 

A negative, linear association

Correct answer:

A negative, linear association

Explanation:

The data points in the scatter plot move up the y-axis as the x-axis decreases; thus the data points show a negative association. Also, the data points do not curve, or go up and down, but gradually decreased; thus the scatter plot shows a linear association. We could even draw a "best fit" line:

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Example Question #13 : Construct And Interpret Scatter Plots: Ccss.Math.Content.8.Sp.A.1

The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, which of the following patterns does the relationship between number of missing assignments and the corresponding test score represent? 


4

Possible Answers:

A negative association, a higher number of missing assignments correlated to a higher test score

A negative association, a higher number of missing assignments correlated to a lower test score

A negative association, a lower number of missing assignments correlated to a higher test score

A negative association, a lower number of missing assignments correlated to a lower test score

Correct answer:

A negative association, a higher number of missing assignments correlated to a lower test score

Explanation:

In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on test grade:

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Based on the results, we can see that the number of missing assignments decreased, the test grade increased; thus, a negative association, a higher number of missing assignments  correlated to a lower test score.

Example Question #12 : Statistics & Probability

The scatter plot provided displays a group of students' test scores versus the length of time the students spent studying for a test. Based on the plot, select the best answer that describes the direction of the points. 

1

Possible Answers:

A negative, linear association 

A positive, nonlinear association 

A positive, linear association 

A negative, non linear association 

Correct answer:

A positive, linear association 

Explanation:

The data points in the scatter plot move up the y-axis as the x-axis increases; thus the data points show a positive association. Also, the data points do not curve, or go up and down, but gradually increase; thus the scatter plot shows a linear association. We could even draw a "best fit" line:

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Example Question #1 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

What would be the most accurate line of best fit for this scatter plot?

Scatter plot 2

Possible Answers:

Correct answer:

Explanation:

This data is quadratic rather than linear - it increases much more sharply than the line . It is also a positive correlation, so the equation should be positive. It is not because the data starts very near the origin .

Example Question #1 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

Select the scatter plot that shows the most accurate line of best fit. 

 

Possible Answers:

3

2

4

1

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

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Example Question #2 : Fit A Straight Line In A Scatter Plot That Has Linear Association: Ccss.Math.Content.8.Sp.A.2

Select the scatter plot that shows the most accurate line of best fit. 

 

Possible Answers:

1

4

3

2

Correct answer:

1

Explanation:

A line of best fit is a line on a graph that follows the general direction of the data points displayed on the graph. The line of best fit should be as close as possible to all of the data points graphed. There should be just as many dots above the line as below the line. It displays where the two variables are correlated to one another.

Based on the options, the graph below has the line of best fit because it is close to all of the data points, follows the same direction as the points, and there are just as many data points below the line as above the line.

1

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