Statistics & Probability - 8th Grade Math
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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.
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.
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:
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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Which of the following represents a positive association in a scatterplot?
Which of the following represents a positive association in a scatterplot?
A positive association is defined as a scatterplot on which the best fit line has a positive slope.
This pattern is identified because on the graph, looking from left to right, the vast majority of the points goes up.
This can also be described by saying, "as 
increases, 
increases".
A positive association is defined as a scatterplot on which the best fit line has a positive slope.
This pattern is identified because on the graph, looking from left to right, the vast majority of the points goes up.
This can also be described by saying, "as
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A scatterplot correlates adult males' height vs. shoe size. What does the point 
on the scatterplot represent?
A scatterplot correlates adult males' height vs. shoe size. What does the point
When creating a scatterplot, data is collected. This data is formulated into ordered pairs. Each of these ordered pairs, which are later graphed, represent one person's data. Thus, this particular piece of data would represent one man's height of 
inches and that same man's shoe size of 
.
When creating a scatterplot, data is collected. This data is formulated into ordered pairs. Each of these ordered pairs, which are later graphed, represent one person's data. Thus, this particular piece of data would represent one man's height of
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Which of the following would most likely represent an outlier on a scatterplot which relates height (in inches) to shoe size for men?
Which of the following would most likely represent an outlier on a scatterplot which relates height (in inches) to shoe size for men?
An outlier is defined as a point that does not fit within the general pattern of the data. Thus, we are looking for a height that is not within the normal range for an adult male, and shoe size which is outside of the range for an adult male. Typically, an adult male would be between 65 and 77 inches tall (5 feet 5 inches and 6 feet 5 inches). Typically, an adult male's shoe size would be around a 10. Thus, the outlier would have height and shoe size drastically different from these, 
.
An outlier is defined as a point that does not fit within the general pattern of the data. Thus, we are looking for a height that is not within the normal range for an adult male, and shoe size which is outside of the range for an adult male. Typically, an adult male would be between 65 and 77 inches tall (5 feet 5 inches and 6 feet 5 inches). Typically, an adult male's shoe size would be around a 10. Thus, the outlier would have height and shoe size drastically different from these,
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What type of correlation does this data have?
What type of correlation does this data have?
It has a positive correlation because the points all trend upward. In other words, as the independent variable on the x-axis increases, the dependent variable on the y-axis also increases. Therefore, the line of best fit that is drawn through the data represents a positive line as it has a positive slope. This verifies that our data has a positive correlation.
It has a positive correlation because the points all trend upward. In other words, as the independent variable on the x-axis increases, the dependent variable on the y-axis also increases. Therefore, the line of best fit that is drawn through the data represents a positive line as it has a positive slope. This verifies that our data has a positive correlation.
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This scatter plot represents data about snack quality (
-axis) vs. price (
-axis). Which statements are a correct interpretation of the data?
I. The price of a higher quality snack tends to be higher.
II. Points below the line represent snacks whose price is higher than their quality.
III. Points above the line represent snacks whose quality is higher than their price.
This scatter plot represents data about snack quality (
I. The price of a higher quality snack tends to be higher.
II. Points below the line represent snacks whose price is higher than their quality.
III. Points above the line represent snacks whose quality is higher than their price.
I. is a true statement about the scatter plot: as quality increases, price tends to increase.
II. is not true - the points under the line have a relatively low price compared to their quality.
III. is also not true - the points above the line have relatively low quality compared to their price.
I. is a true statement about the scatter plot: as quality increases, price tends to increase.
II. is not true - the points under the line have a relatively low price compared to their quality.
III. is also not true - the points above the line have relatively low quality compared to their price.
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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 plot, which of the following patterns does the relationship between number of hours spent studying and the corresponding test score represent?
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 plot, which of the following patterns does the relationship between number of hours spent studying and the corresponding test score represent?
In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on hours spent studying:
Based on the results, we can see that as the number of hours spent studying increased, the test grade also increased; thus, a positive association, a higher number of hours spent studying correlated to a higher test score.
In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on hours spent studying:
Based on the results, we can see that as the number of hours spent studying increased, the test grade also increased; thus, a positive association, a higher number of hours spent studying correlated to a higher test score.
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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.
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.
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:
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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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 plot, are there any outliers in the data?
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 plot, are there any outliers in the data?
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 follow the same pattern as the rest of the set could be described as an outlier. In this case, if we had a student that studied 
hours, but received a test score of 
that data point would be considered an outlier because it doesn't follow the same pattern as the rest of the set. However, there are no data points in this set that don't follow the pattern; thus, there are no outliers in this set.
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 follow the same pattern as the rest of the set could be described as an outlier. In this case, if we had a student that studied
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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 plot, select the answer choice with the data point that if added to the graph, would be an outlier.
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 plot, select the answer choice with the data point that if added to the graph, would be an outlier.
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.
Let's look at our answer choices:
This point is showing that a student who studied for 
hours received a 
on the test. If we look at our graph, we can see that the two students that spent 
hours studying received scores of 
and 
. A score of 
fits in with that data; thus, 
is not an outlier.
This point is showing that a student who studied for 
hour received a 
on the test. If we look at our graph, we can see that the two students that spent 
hour studying received scores of 
and 
. A score of 
fits in with that data; thus, 
is not an outlier.
This point is showing that a student who studied for 
hours received a 
on the test. If we look at our graph, we can see that the two students that spent 
hours studying received scores of 
and 
. A score of 
fits in with that data; thus, 
is not an outlier.
This point is showing that a student who studied for 
hours received a 
on the test. If we look at our graph, we can see that the student who spent 
hours studying received a score of 
. Also, if we look at the student who studied for 
hours, that student received an 
. Based on this results, 
would be an outlier.
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.
Let's look at our answer choices:
This point is showing that a student who studied for
This point is showing that a student who studied for
This point is showing that a student who studied for
This point is showing that a student who studied for
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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?
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?
In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on test grade:
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.
In the provided scatter plot, we can pick out data points and organize them from least to greatest, based on test grade:
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.
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The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, are there any outliers in the data?
The scatter plot provided displays a group of students' test scores versus the number of missing assignments the students have. Based on plot, are there any outliers in the data?
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 follow the same pattern as the rest of the set could be described as an outlier. In this case, if we had a student that had 
missing assignments, but received a test score of 
that data point would be considered an outlier because it doesn't follow the same pattern as the rest of the set. However, there are no data points in this set that don't follow the pattern; thus, there are no outliers in this set.
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 follow the same pattern as the rest of the set could be described as an outlier. In this case, if we had a student that had
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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 answer choice with the data point that if added to the graph, would be an outlier.
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 answer choice with the data point that if added to the graph, would be an outlier.
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.
Let's look at our answer choices:
This point is showing that a student had missing assignments received a 
on the test. If we look at our graph, we can see that the student that had missing assignments received a score of 
. A score of 
fits in with that data; thus, 
is not an outlier.
This point is showing that a student who had 
missing assignments received an 
on the test. If we look at our graph, we can see that the student that had 
missing assignments received score of 
. A score of 
fits in with that data; thus, 
is not an outlier.
This point is showing that a student who had 
missing assignments received a 
on the test. If we look at our graph, we can see that the two students that had 
missing assignments received scores of 
and 
. A score of fits in with that data; thus, 
is not an outlier.
This point is showing that a student who had 
assignments missing received a 
on the test. If we look at our graph, we can see that the student who had 
missing assignments received a score of 
. Also, if we look at the student who had 
missing assignments, that student received a 
. Based on this results, 
would be an outlier.
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.
Let's look at our answer choices:
This point is showing that a student had
This point is showing that a student who had
This point is showing that a student who had
This point is showing that a student who had
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Select the answer choice with a data set that includes an outlier.
Select the answer choice with a data set that includes an outlier.
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.
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:
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Select the answer choice with a data set that includes an outlier.
Select the answer choice with a data set that includes an outlier.
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.
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:
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Select the answer choice with a data set that includes an outlier.
Select the answer choice with a data set that includes an outlier.
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.
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:
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Select the answer choice with a data set that includes an outlier.
Select the answer choice with a data set that includes an outlier.
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.
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:
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A doctor conducted a statistical experiment to determine the relationship between weight and height. In this study, she assigned weight as the independent variable, and height (in inches) as the dependent variable. She plotted the data on a scatter plot. If the results follow a linear relationship, what is a reasonable conclusion that could be found based these results?
A doctor conducted a statistical experiment to determine the relationship between weight and height. In this study, she assigned weight as the independent variable, and height (in inches) as the dependent variable. She plotted the data on a scatter plot. If the results follow a linear relationship, what is a reasonable conclusion that could be found based these results?
Let's think about ourselves in this scenario, as you've gotten taller, has your weight increased or decreased? Most likely, as your height has increased your weight has also increased; thus the slope of the best fit line for this data would be positive.
Let's think about ourselves in this scenario, as you've gotten taller, has your weight increased or decreased? Most likely, as your height has increased your weight has also increased; thus the slope of the best fit line for this data would be positive.
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Mr. Miller conducted a statistical experiment to determine the relationship between final grades and the number of school days that his students missed. In this study, he assigned the number of missed school days as the independent variable, and the final grade was assigned as the dependent variable. Every student started the class with a 
, and based on class assignments, tests scores, etc. the students' final grade was determined. Mr. Miller found that for every one day missed, the students' grade dropped by 
. Based on this data, select the equation of the best fit line for this scenario.
Mr. Miller conducted a statistical experiment to determine the relationship between final grades and the number of school days that his students missed. In this study, he assigned the number of missed school days as the independent variable, and the final grade was assigned as the dependent variable. Every student started the class with a
The equation of the best fit line will be in slope intercept form:
The question tells us that days are the independent variable, or 
, and the dependent variable is the final class grade, or 
Every students starts with a 
. If we think about a graph, then the start of the graph is when 
is equal to zero, which is the 
; thus, the 
value of the equation should be 
The final piece that we need is the slope, or 
value, which is associated with the number of days missed. Let's recall from the question that for every single day missed the students grade dropped by 
. "Drops" means that we are going to have a negative slope; thus, the slope for this scenario is the following:
If we put all of the pieces together, then the equation for the line of best fit is the following:
The equation of the best fit line will be in slope intercept form:
The question tells us that days are the independent variable, or
Every students starts with a
The final piece that we need is the slope, or
If we put all of the pieces together, then the equation for the line of best fit is the following:
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Matt conducted a statistical experiment to determine the relationship between yearly salary earned and age. In this study, he assigned age (in years) as the independent variable, and yearly salary as the dependent variable. He drew a line of best fit and found a slope of 
. What does this mean?
Matt conducted a statistical experiment to determine the relationship between yearly salary earned and age. In this study, he assigned age (in years) as the independent variable, and yearly salary as the dependent variable. He drew a line of best fit and found a slope of
The slope of a line is the rate that a line increases or decreases. The question tells us that Matt looked at the relationship between age, in years; thus, the correct answer should include "each year", which eliminates the answer choices that include "each month". Finally the slope is 
, which is a positive number; thus, the line increases by 
each year. This means that the correct answer is "Each year, a person's salary increases by 
".
The slope of a line is the rate that a line increases or decreases. The question tells us that Matt looked at the relationship between age, in years; thus, the correct answer should include "each year", which eliminates the answer choices that include "each month". Finally the slope is
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