Exam 4: Numerical Descriptive Techniques

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Weights of Police Officers ​ The following data represent the weights in pounds of a sample of 25 police officers: 164,148,137, 157,173,156,177,172,169,165,145,168,163,162,174,152,156,168,154,151,174,146,134, 140,and 171. ​ ​ -{Weights of Police Officers Narrative} Determine the location and value of the upper quartile of the weights.

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The ____________________ uses both the mean and the standard deviation to interpret standard deviation for bell shaped histograms.

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The ____________________ is the square root of the ____________________.

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The coefficient of correlation and the least squares line both describe the relationship between two interval variables.

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There are three measures of central location; the mean,the ____________________,and the ____________________.

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Ages of Retirees ​ A sociologist recently conducted a survey of retirees over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance.The ages of 20 uninsured retirees were as follows: 65,66,67,68,69,70,71,73,74,75,78,79,80,81,86,87,91,92,94,and 97. ​ ​ -{Ages of Retirees Narrative} Identify the interquartile range of the ages of the uninsured retirees.What does this value tell you about the data?

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Which of the following statements is true for the following observations: 9,8,7,9,6,11,and 13?

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Weights of Police Officers ​ The following data represent the weights in pounds of a sample of 25 police officers: 164,148,137, 157,173,156,177,172,169,165,145,168,163,162,174,152,156,168,154,151,174,146,134, 140,and 171. ​ ​ -{Weights of Police Officers Narrative} Determine the location and value of the lower quartile of the weights.

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Percentiles can be converted into quintiles and deciles,where quintiles divide the data into fifths,and deciles divide the data into tenths.

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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?

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A sample of 12 construction workers has a mean age of 25 years.Suppose that the sample is enlarged to 14 construction workers,by including two additional workers having common age of 25 each. Find the mean of the sample of 14 workers.

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If the standard deviation of x is 18,the covariance of x and y is 120,the coefficient r = 0.90,then the standard deviation of y is 54.87.

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If the coefficient of correlation r = ±1,then the best-fit linear equation will actually include all of the observations.

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The denominator in the calculation of the sample covariance,cov (x,y),is:

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If a data set contains an even number of observations,the median is found by taking the ____________________ of these two numbers.

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In a negatively skewed distribution,which of the following is the correct statement?

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In a positively skewed distribution,which of the following is the correct statement?

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If the coefficient of correlation r = 0,then there can be no linear relationship between the dependent variable y and the independent variable x.

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

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Yearly Donations ​ The following data represent the yearly donations (in thousands of dollars)of a sample of 13 benefactors: 26.5,23.5,29.7,24.8,21.1,24.3,20.4,22.7,27.2,23.7,24.1,24.8,and 28.2. ​ ​ -{Yearly Donations Narrative} Compute the lower quartile for the donations.

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