Exam 4: C: Numerical Descriptive Techniques
____________________ techniques give you the big picture of a distribution and ____________________ techniques give you more precise details.
Graphical;numerical
What statistics and graphs can you use to answer the following question: Are the observations close to one another,or are they widely dispersed?
The standard deviation can tell you whether the observations are close to or spread out from the middle.The interquartile range tells how far apart them middle 50% of the data are,and works especially well for skewed data.A histogram and a box plot can show you how close together/spread out the data appear visually.
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?
A histogram can show you whether a distribution is symmetric,positively skewed,negatively skewed,or has a different shape.If the data is symmetric,a histogram can tell you whether the data is bell shaped,bimodal,or uniform,etc.A box plot can also show you whether a distribution is symmetric,negatively skewed or positively skewed.However,it can't tell you what the exact shape is,if the data are found to be symmetric.For example,a box plot cannot tell you whether a symmetric data set is unimodal or bimodal.This is a drawback of a box plot.
What statistics and graphs can you use to answer the following question: Where is the approximate center of the distribution?
The precision provided by the numerical techniques (mean,median,and standard deviation)provides more useful information than graphical techniques (histograms and box plots)alone.
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?
Which of the following is correct about the shape of a distribution?
What statistics and graphs can you use to look for a relationship between two interval variables?
The shape of a distribution helps answer which question about the data?
Which of the following characteristics does a histogram help you identify?
Scatter diagrams,covariance,and the coefficient of correlation are useful techniques for detecting relationships between two ____________________ variables.
Graphical and numerical techniques,such as histograms and least squares lines provide identical information.
We can frequently make several inferences about the nature of the data from the ____________________ of its histogram.
Statisticians typically apply graphical techniques as a first step in a data analysis because we first need to know the shape of the distribution.
Statisticians usually apply graphical techniques as a first step in analyzing data because we first need to know the ____________________ of the distribution.
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?
Box plots and medians work well to describe ____________________ data,while histograms and means work well to describe ____________________ data.
The coefficient of correlation and the least squares line both describe the relationship between two interval variables.
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