Graphing Data - AP Statistics
Card 0 of 44
Find the median of the stem and leaf plot.
Find the median of the stem and leaf plot.
The median is the middle value of the set in increasing order.
In this set of 11 entries, the median is the 6th entry of the set in increasing order, or 26.
The median is the middle value of the set in increasing order.
In this set of 11 entries, the median is the 6th entry of the set in increasing order, or 26.
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Based on the scatter plot below, is there a correlation between the 
and 
variables? If so, describe the correlation.
Based on the scatter plot below, is there a correlation between the
The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.
A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.
An exponential relationship would be curved, rather than straight.
The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.
A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.
An exponential relationship would be curved, rather than straight.
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A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?
A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?
A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.
A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.
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Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)
, 
, 
, 
, 
, 
Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)
The first graph is random scatter, no correlation, the second is perfect linear, corellation 
, the last two have fairly strong positive and negative corellations, the student should know that a corellation of 
is much weaker than them
The first graph is random scatter, no correlation, the second is perfect linear, corellation
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Based on the histogram, which of the following sets of values was most common in the sample?
Based on the histogram, which of the following sets of values was most common in the sample?
You can see from the histogram that the two most frequent ranges for values are 62-64 and 64-66, with 5 values in each group. And from the answer choices, you should see that only one choice, 62-68, contains both of the high-frequency bars. It also contains the next-highest bar (66-68, with a total of 4), so at 14 total values the range 62-68 has the highest frequency of any of these six-inch-range sets in the choices.
You can see from the histogram that the two most frequent ranges for values are 62-64 and 64-66, with 5 values in each group. And from the answer choices, you should see that only one choice, 62-68, contains both of the high-frequency bars. It also contains the next-highest bar (66-68, with a total of 4), so at 14 total values the range 62-68 has the highest frequency of any of these six-inch-range sets in the choices.
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What is the best measurement of center and spread for the following data set represented by a histogram?
What is the best measurement of center and spread for the following data set represented by a histogram?
For skewed distributions, the outliers can greatly affect the value of the mean and the standard deviation. Therefore, the median and IQR would be better measures of center and spread because they are not greatly influenced by outlier values.
For skewed distributions, the outliers can greatly affect the value of the mean and the standard deviation. Therefore, the median and IQR would be better measures of center and spread because they are not greatly influenced by outlier values.
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Louie collects data on the amount of sleep students in his class get.
Below is a graphical representation of the data
Which of the following is/are false about Louie's class' data?
i: the student with 2 hours of sleep is an outlier
ii: without the student with 2 hours of sleep the data is roughly normally distributed
iii: without the student with 2 hours of sleep the data is slightly right skewed
iv: the student with 2 hours of sleep is within 2 standard deviations of the mean
Louie collects data on the amount of sleep students in his class get.
Below is a graphical representation of the data
Which of the following is/are false about Louie's class' data?
i: the student with 2 hours of sleep is an outlier
ii: without the student with 2 hours of sleep the data is roughly normally distributed
iii: without the student with 2 hours of sleep the data is slightly right skewed
iv: the student with 2 hours of sleep is within 2 standard deviations of the mean
Entering the data into a calculator you can quickly find the mean to be 6.5 and the sd to be 1.6 6.5-3.2=3.3 3.3>2 so iv is false and by virtue of this 2 is an outlier so i is true.
Between ii and iii, the data is not bell shaped, and does exhibit a slight right skew without the mentioned pt due to more density on 5 and 6 hours than 8 and 9
Entering the data into a calculator you can quickly find the mean to be 6.5 and the sd to be 1.6 6.5-3.2=3.3 3.3>2 so iv is false and by virtue of this 2 is an outlier so i is true.
Between ii and iii, the data is not bell shaped, and does exhibit a slight right skew without the mentioned pt due to more density on 5 and 6 hours than 8 and 9
Compare your answer with the correct one above
Louie collected the following data on sleeping habits of his classmates:
Calculate the median, 1st and 3rd quartile (Q1 and Q3) and mode for the data. There are 19 students in the class.
Louie collected the following data on sleeping habits of his classmates:
Calculate the median, 1st and 3rd quartile (Q1 and Q3) and mode for the data. There are 19 students in the class.
graphing the data, or counting the quarter and halfway points at 10, 15 and 5, results in Q1 and the median both being 6, while Q3 is 8. 6 is the most common value so it is the mode
graphing the data, or counting the quarter and halfway points at 10, 15 and 5, results in Q1 and the median both being 6, while Q3 is 8. 6 is the most common value so it is the mode
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How many entries are in this stem and leaf plot?
How many entries are in this stem and leaf plot?
The number of entries is the number of digits on the right hand side of the column.
Since there are 21 total digits, there are 21 total entris that make up the stem and leaf plot.
The number of entries is the number of digits on the right hand side of the column.
Since there are 21 total digits, there are 21 total entris that make up the stem and leaf plot.
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Find the range of the data in the stem-and-leaf plot.
Find the range of the data in the stem-and-leaf plot.
To find the range, subtract the minimum value from the maximum value
minimum: 
maximum: 
So,
maximum - minimum = 
To find the range, subtract the minimum value from the maximum value
minimum:
maximum:
So,
maximum - minimum =
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What is the interquartile range of the following data set?
What is the interquartile range of the following data set?
This stemplot is read as follows: the stem is the tens digit and each digit in the "leaves" section is a ones digit. Put them together to have a data point.
53, 65, 68, 69, 70, 72, 72, 79, 83, 84, 85, 87, 89, 90, 94
In the particular case there are 15 data points therefore the median is 79. Thus the first quartile is 69 and the third quartile is 87.
Finding the interquartile range is subtracting the first quartile from the 3rd quartile.
This stemplot is read as follows: the stem is the tens digit and each digit in the "leaves" section is a ones digit. Put them together to have a data point.
53, 65, 68, 69, 70, 72, 72, 79, 83, 84, 85, 87, 89, 90, 94
In the particular case there are 15 data points therefore the median is 79. Thus the first quartile is 69 and the third quartile is 87.
Finding the interquartile range is subtracting the first quartile from the 3rd quartile.
Compare your answer with the correct one above
Based on the scatter plot below, is there a correlation between the and variables? If so, describe the correlation.
Based on the scatter plot below, is there a correlation between the
The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.
A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.
An exponential relationship would be curved, rather than straight.
The data points follow an overall linear trend, as opposed to being randomly distributed. Though there are a few outliers, there is a general relationship between the two variables.
A line could accurately predict the trend of the data points, suggesting there is a linear correlation. Since the y-values decrease as the x-values increase, the correlation must be negative. We can see that a line connecting the upper-most and lower-most points would have a negative slope.
An exponential relationship would be curved, rather than straight.
Compare your answer with the correct one above
A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?
A basketball coach wants to determine if a player's height can be used to predict the number of points that player scores in a season. Before using a statistical test to determine the precise relationship of the variables, the coach wants a visual of the data to see if there is likely to be a relationship. Which of the following should the coach create?
A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.
A scatterplot is a diagram that shows the values of two variables and provides a general illustration of the relationship between them.
Compare your answer with the correct one above
Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)
, , , , ,
Order the correlation coefficients to fit the order of the following graphs (two coefficients will not be used)
The first graph is random scatter, no correlation, the second is perfect linear, corellation , the last two have fairly strong positive and negative corellations, the student should know that a corellation of is much weaker than them
The first graph is random scatter, no correlation, the second is perfect linear, corellation
Compare your answer with the correct one above
Based on the histogram, which of the following sets of values was most common in the sample?
Based on the histogram, which of the following sets of values was most common in the sample?
You can see from the histogram that the two most frequent ranges for values are 62-64 and 64-66, with 5 values in each group. And from the answer choices, you should see that only one choice, 62-68, contains both of the high-frequency bars. It also contains the next-highest bar (66-68, with a total of 4), so at 14 total values the range 62-68 has the highest frequency of any of these six-inch-range sets in the choices.
You can see from the histogram that the two most frequent ranges for values are 62-64 and 64-66, with 5 values in each group. And from the answer choices, you should see that only one choice, 62-68, contains both of the high-frequency bars. It also contains the next-highest bar (66-68, with a total of 4), so at 14 total values the range 62-68 has the highest frequency of any of these six-inch-range sets in the choices.
Compare your answer with the correct one above
What is the best measurement of center and spread for the following data set represented by a histogram?
What is the best measurement of center and spread for the following data set represented by a histogram?
For skewed distributions, the outliers can greatly affect the value of the mean and the standard deviation. Therefore, the median and IQR would be better measures of center and spread because they are not greatly influenced by outlier values.
For skewed distributions, the outliers can greatly affect the value of the mean and the standard deviation. Therefore, the median and IQR would be better measures of center and spread because they are not greatly influenced by outlier values.
Compare your answer with the correct one above
Louie collects data on the amount of sleep students in his class get.
Below is a graphical representation of the data
Which of the following is/are false about Louie's class' data?
i: the student with 2 hours of sleep is an outlier
ii: without the student with 2 hours of sleep the data is roughly normally distributed
iii: without the student with 2 hours of sleep the data is slightly right skewed
iv: the student with 2 hours of sleep is within 2 standard deviations of the mean
Louie collects data on the amount of sleep students in his class get.
Below is a graphical representation of the data
Which of the following is/are false about Louie's class' data?
i: the student with 2 hours of sleep is an outlier
ii: without the student with 2 hours of sleep the data is roughly normally distributed
iii: without the student with 2 hours of sleep the data is slightly right skewed
iv: the student with 2 hours of sleep is within 2 standard deviations of the mean
Entering the data into a calculator you can quickly find the mean to be 6.5 and the sd to be 1.6 6.5-3.2=3.3 3.3>2 so iv is false and by virtue of this 2 is an outlier so i is true.
Between ii and iii, the data is not bell shaped, and does exhibit a slight right skew without the mentioned pt due to more density on 5 and 6 hours than 8 and 9
Entering the data into a calculator you can quickly find the mean to be 6.5 and the sd to be 1.6 6.5-3.2=3.3 3.3>2 so iv is false and by virtue of this 2 is an outlier so i is true.
Between ii and iii, the data is not bell shaped, and does exhibit a slight right skew without the mentioned pt due to more density on 5 and 6 hours than 8 and 9
Compare your answer with the correct one above
Louie collected the following data on sleeping habits of his classmates:
Calculate the median, 1st and 3rd quartile (Q1 and Q3) and mode for the data. There are 19 students in the class.
Louie collected the following data on sleeping habits of his classmates:
Calculate the median, 1st and 3rd quartile (Q1 and Q3) and mode for the data. There are 19 students in the class.
graphing the data, or counting the quarter and halfway points at 10, 15 and 5, results in Q1 and the median both being 6, while Q3 is 8. 6 is the most common value so it is the mode
graphing the data, or counting the quarter and halfway points at 10, 15 and 5, results in Q1 and the median both being 6, while Q3 is 8. 6 is the most common value so it is the mode
Compare your answer with the correct one above
How many entries are in this stem and leaf plot?
How many entries are in this stem and leaf plot?
The number of entries is the number of digits on the right hand side of the column.
Since there are 21 total digits, there are 21 total entris that make up the stem and leaf plot.
The number of entries is the number of digits on the right hand side of the column.
Since there are 21 total digits, there are 21 total entris that make up the stem and leaf plot.
Compare your answer with the correct one above
Find the median of the stem and leaf plot.
Find the median of the stem and leaf plot.
The median is the middle value of the set in increasing order.
In this set of 11 entries, the median is the 6th entry of the set in increasing order, or 26.
The median is the middle value of the set in increasing order.
In this set of 11 entries, the median is the 6th entry of the set in increasing order, or 26.
Compare your answer with the correct one above