Exam 4: A: Numerical Descriptive Techniques

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The units for the variance are the same as the units for the original data (for example,feet,inches,etc. ).

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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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A mutual fund you purchased in the years 2011-2014 has the following rates of return shown below: Year 2011 2012 2013 2014 Rate of Return .50 .30 -.10 -.15 Compute the geometric mean.

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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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Strip Mall Rent Monthly rent data in dollars for a sample of 10 stores in a small town in South Dakota are as follows: 220,216,220,205,210,240,195,235,204,and 250. -{Strip Mall Rent Narrative} Compute the sample monthly average rent.

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Hours of Playing Video Games Suppose that the following data provide the hours of playing video games per week for a sample of 15 high school students in Roanoke,Virginia: 5,11,25,19,18,20,27,13,8,10,15,19,18,9,and 12. -{Hours of Playing Video Games Narrative} Determine the location and value of the first quartile.

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A box plot is a graphical representation of the 5-number summary.

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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} Compare the mean salary with the median salary and use them to describe the shape of the distribution.

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Hours Worked per Week The following data represent the hours worked per week of a sample of 25 employees from a government department: 31,43,56,23,49,42,33,61,44,28,48,38,44,35,40,64,52,42,47,39,53,27,36,35,and 20. -{Hours Worked per Week Narrative} Find the median hours.

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Which of the following summary measures is sensitive to extreme values?

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Hours Worked per Week The following data represent the hours worked per week of a sample of 25 employees from a government department: 31,43,56,23,49,42,33,61,44,28,48,38,44,35,40,64,52,42,47,39,53,27,36,35,and 20. -{Hours Worked per Week Narrative} Construct a stem and leaf display for the hours.

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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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Ages of Jockeys The following data represent the ages in years of a sample of 25 jockeys from a local race track: 31,43,56,23,49,42,33,61,44,28,48,38,44,35,40,64,52,42,47,39,53,27,36,35,and 20. -{Ages of Jockeys Narrative} Construct a relative frequency distribution for the data,using five class intervals and the value 20 as the lower limit of the first class.

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Ages of Workers The ages (in years)of three groups of workers are shown below: Group A: 17 22 20 18 23 Group B: 30 28 35 40 25 GroupC: 44 39 54 21 52 -{Ages of Workers Narrative} Compute and compare the ranges for the three groups.

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When extreme values are present in a set of data,which of the following descriptive summary measures are most appropriate?

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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} Compute the mean number of computers.

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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 second quartile of the weights.

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The standard deviation is the positive square root of the variance.

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Pets Survey A sample of 36 families were asked how many pets they owned.Their responses are summarized in the following table. Number of Pets 0 1 2 3 4 5 Number of Families 3 20 5 4 2 2 -{Pets Survey Narrative} Explain what the mean,median,and mode tell you about this particular data set.

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In a histogram,the proportion of the total area which must be to the right of the mean is exactly 0.50 if the distribution is symmetric and unimodal.

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