Exam 2: Describing Data: Numerical

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The median,the second quartile,and the 50th percentile are all the same.

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Although the range measures the total spread of the data,the interquartile range (IQR)measures only the spread of the middle 50% of the data.

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The interquartile range is the average of the first and third quartiles.

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For the following scatter plot,what would be your best estimate of the correlation coefficient? For the following scatter plot,what would be your best estimate of the correlation coefficient?

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Calculate the location of the 25th,50th,and 75th percentile and their values,using the following data: 0 0 5 7 8 9 12 14 22 33

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Production records for an automobile manufacturer show the following figures for production per shift (maximum production is 720 cars per shift): THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Production records for an automobile manufacturer show the following figures for production per shift (maximum production is 720 cars per shift):    -Find the median. -Find the median.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: An investment councilor recently reviewed the account activity of a sample of 10 of his clients and calculated the average number of stock trades per month over the past year for each client.He obtained the following data values: 10.2,2.5,11.4,3.2,1.1,3.4,8.4,9.7,11.2,and 2.4 -Calculate the average number of trades per month for these 10 clients.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following (x,y)sample data: (24,24),(19,33),(21,31),(10,36),(22,30),(13,36),(21,32),(23,26),(20,26),and (21,31). -Calculate the variances THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following (x,y)sample data: (24,24),(19,33),(21,31),(10,36),(22,30),(13,36),(21,32),(23,26),(20,26),and (21,31). -Calculate the variances    and    and the covariance s<sub>xy</sub>. and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following (x,y)sample data: (24,24),(19,33),(21,31),(10,36),(22,30),(13,36),(21,32),(23,26),(20,26),and (21,31). -Calculate the variances    and    and the covariance s<sub>xy</sub>. and the covariance sxy.

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Give an example to illustrate that the median should not always be preferred to the mean when the population or sample is skewed.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A set of data is mounded,with a mean of 500 and a variance of 576. -Approximately what proportion of the observations is between 452 and 548?

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What would you conclude if a sample correlation coefficient is equal to -1.00?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following data represent a sample of 10 scores on a statistics quiz: 16,16,16,16,16,18,18,20,20,and 20. -The median score is:

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A small accounting office is trying to determine its staffing needs for the coming tax season.The manager has collected the following data: 46,27,79,57,99,75,48,89,and 85.These values represent the number of returns the office completed each year over the entire nine years it has been doing tax returns. -For this data,what is the variance of the number of tax returns completed each year?

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A bored carpenter counts the actual number of nails in 10 boxes of nails and records his findings as: 230,235,302,287,312,323,265,319,342,and 298.What can we say about the shape of the distribution of the number of nails?

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following (x,y)sample data: (53,37),(34,26),(10,29),(63,55),(28,36),(58,48),(28,41),(50,42),(39,21),and (35,46). -Calculate the correlation coefficient sample data.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . -Calculate the quantities THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . , THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . ,and THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,200 top executives were asked how many hours they spend each year in community service.The data are presented below.    -Calculate the quantities    ,        ,and        . .

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Which of the following statements is true about the correlation coefficient and covariance?

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The five-number summary refers to the five descriptive measures: minimum,mean,median,mode,and maximum;therefore it is sometimes known as the five-m summary.

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A z-score is a standardized value that indicates the number of standard deviations a value is from the:

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Based on the values of the mean and median in the previous two questions,are the measurements symmetric or skewed? Why?

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