Explain some limitations using boxplot to describe the shape of the distribution.

Question

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Answer 1

Question

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

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Answer 2

Question

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

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Answer 3

Question

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

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Answer 4

Question

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

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Answer 5

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

Answer 6

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.

Answer 7

Chapter 3, Problem 1E

To determine

Explain some limitations using boxplot to describe the shape of the distribution.

Answer 8

Expert Solution & Answer

Explanation of Solution

The given information is that, the histograms for four manufactured sets of numbers which have the same 5-number summary and the boxplot for all four sets are identical to the one shown.

Boxplot:

In the boxplot, the vertical lines of the center box represent the quartiles of the distribution. The left end of the box is the first quartile, the middle one is median and the right end of the box is third quartile

From the boxplot it is observed that, the box and whisker are more extended to the right side hence the distribution is skewed right.

Here the boxplot doesn’t tell much about distribution except for the Skewness. The boxplot given could show a distribution that has more than one mode like the first histogram, only one mode that is unimodal like the second histogram, has clusters and gapes like the third histogram and has outliers like the fourth histogram.