Question 1

The shape of a distribution helps answer which question about the data?
A)Where is the approximate center of the distribution?
B)Are the observations close to one another,or are they widely dispersed?
C)Is the distribution symmetric?
D)All of these choices are true.

Accepted Answer

The shape of a distribution can help answer all of these questions. It can give information about the center (such as the mean or median), the spread (such as the standard deviation or interquartile range), and the symmetry or skewness of the distribution.

Question 2

Which of the following is correct about the shape of a distribution?
A)The shape can show you how many modes there are.
B)The shape can help you determine the approximate center of the distribution.
C)The shape can help you determine whether the data are close or spread out.
D)All of these choices are true.

Accepted Answer

The shape of a distribution can provide information about the number of modes, the center, and the spread of the data. Therefore, all of the choices are correct.

Question 3

The standard deviation is a measure of variability.

Accepted Answer

The standard deviation is a statistical measure that measures the amount of variability or dispersion of a set of data values. It represents the average distance of the observations from the mean or average value. Therefore, it is a measure of variability.

Question 4

What statistics and graphs can you use to answer the following question: Where is the approximate center of the distribution?

Accepted Answer

The answer of What statistics and graphs can you use...

Question 5

Box plots and medians work well to describe ____________________ data,while histograms and means work well to describe ____________________ data.

Accepted Answer

The answer of Box plots and medians work well to...

Question 6

What statistics and graphs can you use to answer the following question: Are the observations close to one another,or are they widely dispersed?

Accepted Answer

The answer of What statistics and graphs can you use...

Question 7

Statisticians usually apply graphical techniques as a first step in analyzing data because we first need to know the ____________________ of the distribution.

Accepted Answer

The answer of Statisticians usually apply graphical techniques as a...

Question 8

Scatter diagrams,covariance,and the coefficient of correlation are useful techniques for detecting relationships between two ____________________ variables.

Accepted Answer

The answer of Scatter diagrams,covariance,and the coefficient of correlation are...

Question 9

A scatter diagram reveals a strong positive linear relationship between oil and gasoline prices.Which of the following numerical techniques will not give us more detailed information about this relationship?
A)Coefficient of determination
B)Coefficient of correlation
C)Coefficient of variation.
D)All of these choices help us describe this relationship.

Accepted Answer

The coefficient of variation is a measure of relative variability, which is useful in comparing the dispersion of two or more datasets from different units of measurement. However, it does not give us any detailed information about the strength or direction of the linear relationship between oil and gasoline prices. On the other hand, both the coefficient of determination (R-squared) and the coefficient of correlation (r) are measures of the degree of linear association between two variables, and can provide valuable insights about the pattern of the scatter plot. Therefore, choice C is the best answer.

Question 10

What statistics and graphs can you use to look for a relationship between two interval variables?

Accepted Answer

The answer of What statistics and graphs can you use...

Question 11

What statistics and graphs can you use to answer the following question: Is the distribution symmetric? If not,is it skewed? If symmetric,is it bell shaped?

Accepted Answer

The answer of What statistics and graphs can you use...

Question 12

____________________ techniques give you the big picture of a distribution and ____________________ techniques give you more precise details.

Accepted Answer

The answer of ____________________ techniques give you the big picture...

Question 13

Which of the following are measures of the linear relationship between two variables,but not the strength?
A)The covariance
B)The coefficient of correlation
C)The variance
D)Both a and b

Accepted Answer

The covariance measures the direction and magnitude of the linear relationship between two variables but does not give an indication of the strength of the relationship. The coefficient of correlation, on the other hand, gives a measure of both the direction and strength of the linear relationship between two variables. The variance is not a measure of the relationship between two variables.

Question 14

We can frequently make several inferences about the nature of the data from the ____________________ of its histogram.

Accepted Answer

The answer of We can frequently make several inferences about...

Question 15

What statistics and graphs can you use to answer the following questions: Is the distribution unimodal,bimodal,or multimodal? If there is more than one mode,where are the peaks,and where are the valleys?

Accepted Answer

The answer of What statistics and graphs can you use...

Quiz 4: Numerical Descriptive Techniques

The shape of a distribution helps answer which question about the data?

Which of the following is correct about the shape of a distribution?

The standard deviation is a measure of variability.

What statistics and graphs can you use to answer the following question: Where is the approximate center of the distribution?

Box plots and medians work well to describe data,while histograms and means work well to describe data.

What statistics and graphs can you use to answer the following question: Are the observations close to one another,or are they widely dispersed?

Statisticians usually apply graphical techniques as a first step in analyzing data because we first need to know the ____________________ of the distribution.

Scatter diagrams,covariance,and the coefficient of correlation are useful techniques for detecting relationships between two ____________________ variables.

A scatter diagram reveals a strong positive linear relationship between oil and gasoline prices.Which of the following numerical techniques will not give us more detailed information about this relationship?

What statistics and graphs can you use to look for a relationship between two interval variables?

What statistics and graphs can you use to answer the following question: Is the distribution symmetric? If not,is it skewed? If symmetric,is it bell shaped?

techniques give you the big picture of a distribution and techniques give you more precise details.

Which of the following are measures of the linear relationship between two variables,but not the strength?

We can frequently make several inferences about the nature of the data from the ____________________ of its histogram.

What statistics and graphs can you use to answer the following questions: Is the distribution unimodal,bimodal,or multimodal? If there is more than one mode,where are the peaks,and where are the valleys?