Exam 4: Numerical Descriptive Techniques

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Which of the following types of data has no measure of variability?

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Which of the following is a measure of variability?

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

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There are three statistics used to measure variability in a data set; the range,the ____________________,and the ____________________.

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If two data sets have the same range:

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In a perfectly symmetric distribution,which of the following statements is false?

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A perfect straight line sloping downward would produce a correlation coefficient equal to:

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A perfect straight line sloping upward would produce a correlation coefficient value of 1.0.

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Which of the following is a property of r,the coefficient of correlation?

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The slope b1 of the least squares line The slope b<sub>1</sub> of the least squares line   represents the: represents the:

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Ages of Senior Citizens ​ A sociologist recently conducted a survey of citizens 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 22 uninsured senior citizens were as follows: 65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,86,87,91,92, 94,and 97. ​ ​ -{Ages of Senior Citizens Narrative} Explain why there is no mode for this data set.

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2-Year Investment ​ Suppose you make a 2-year investment of $5,000 and it grows by 100% to $10,000 during the first year.During the second year,however,the investment suffers a 50% loss,from $10,000 back to $5,000. ​ ​ -{2-Year Investment Narrative} Calculate the arithmetic mean.

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Salaries of Employees ​ The following data represent the yearly salaries (in thousands of dollars)of a sample of 13 employees of a firm: 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. ​ ​ -{Salaries of Employees Narrative} Compute the median salary.

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A statistic that interprets the standard deviation relative to the size of the numbers in the data set is called the ____________________ of ____________________.

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Computers ​ The following data represent the number of computers owned by a sample of 10 families from Chicago: 4,2,1,1,5,3,0,1,0,and 2. ​ ​ -{Computers Narrative} Is the distribution of the number of computers symmetric or skewed? Why?

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The mean of fifty sales receipts is $65.75 and the standard deviation is $10.55.Using Chebysheff's Theorem,75% of the sales receipts were between $44.65 and $86.85.

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Milk Demand ​ A supermarket has determined that daily demand for milk containers has an approximate bell shaped distribution,with a mean of 55 containers and a standard deviation of six containers. ​ ​ -{Milk Demand Narrative} How often can we expect between 49 and 61 containers to be sold in a day? (Give a percentage.)

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Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:  Longevity and Salary A sample of eight observations of variables x (years of experience)and y (salary in $1,000s)is shown below:   ​ ​ -{Longevity and Salary Narrative} a.Calculate the coefficient of correlation,and comment on the relationship between x and y. b.Give a possible reason that the correlation is negative. ​ ​ -{Longevity and Salary Narrative} a.Calculate the coefficient of correlation,and comment on the relationship between x and y. b.Give a possible reason that the correlation is negative.

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Salaries of Office Workers ​ The following data represent the salaries (in thousands of dollars)of a sample of 13 office workers of a firm: 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. ​ ​ -{Salaries of Office Workers Narrative} Compute the coefficient of variation and express the number in the appropriate unit.

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If two data sets have the same range,the distances from the smallest to largest observations in both sets will be the same.

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