Exam 3: Describing Data Using Numerical Measures

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Suppose that the distribution of grocery purchases is thought to be symmetric.If the mean purchase is $23.14,what would the median purchase be?

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A store manager tracks the number of customer complaints each week.The following data reflect a random sample of ten weeks. A store manager tracks the number of customer complaints each week.The following data reflect a random sample of ten weeks.   The standard deviation for these data is approximately 27.78. The standard deviation for these data is approximately 27.78.

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At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in   in. Given this information,in a box and whisker plot,which of these four values will NOT appear? in. Given this information,in a box and whisker plot,which of these four values will NOT appear?

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The interquartile range is the difference between the mean and the median.

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In the annual report,a major food chain stated that the distribution of daily sales at its Detroit stores is known to be bell-shaped,and that 95 percent of all daily sales fell between $19,200 and $36,400.Based on this information,what were the mean sales?

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A major automobile maker has two models of sedans.The first model has been shown to get an average of 27 mpg on the highway with a standard deviation equal to 5 mpg.The second model gets 33 mpg on average with a standard deviation of 8 mpg.Based on this information the first car model is relatively more variable than the second car model.

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The range is an ideal measure of variation since it is not sensitive to extreme values in the data.

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Consider the following data,which represent the number of miles that employees commute from home to work each day.There are two samples: one for males and one for females. Males: Consider the following data,which represent the number of miles that employees commute from home to work each day.There are two samples: one for males and one for females. Males:   Females:   Which of the following statements is true? Females: Consider the following data,which represent the number of miles that employees commute from home to work each day.There are two samples: one for males and one for females. Males:   Females:   Which of the following statements is true? Which of the following statements is true?

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The sample mean is an estimate of μ and may be either higher or lower than μ depending on the sample.

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A population measure,such as the population mean,is called a:

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A statistic is a value that describes a population characteristic while a parameter is computed from a sample.

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What is meant by the concept,standardizing the data? Explain why a decision maker may wish to compute a standardized value.

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The following data reflect the number of customers who return merchandise for a refund on Monday.Note these data reflect the population of all 10 Mondays for which data are available. The following data reflect the number of customers who return merchandise for a refund on Monday.Note these data reflect the population of all 10 Mondays for which data are available.   Assume that this same exact pattern of data were replicated for the next ten days.How would this affect the standard deviation for the new population with 20 items? Assume that this same exact pattern of data were replicated for the next ten days.How would this affect the standard deviation for the new population with 20 items?

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At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in   in. Given this information,for a box and whisker plot which of the following statements is appropriate? in. Given this information,for a box and whisker plot which of the following statements is appropriate?

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The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership.Consider the following data as representing the population of cars sold in each of the 8 weeks that the dealership has been open. The Good-Guys Car Dealership has tracked the number of used cars sold at its downtown dealership.Consider the following data as representing the population of cars sold in each of the 8 weeks that the dealership has been open.   The population standard deviation is approximately 2.87 cars. The population standard deviation is approximately 2.87 cars.

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You are given the following data: You are given the following data:   If these data were considered to be a population and you computed the mean,you would get the same answer as if these data were considered to be a sample from a larger population. If these data were considered to be a population and you computed the mean,you would get the same answer as if these data were considered to be a sample from a larger population.

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A large retail company gives an employment screening test to all prospective employees.If a prospective employee receives a report saying that she scored at the 40th percentile:

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Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms: Suppose a study of houses that have sold recently in your community showed the following frequency distribution for the number of bedrooms:   Based on this information,the mode for the data is 140. Based on this information,the mode for the data is 140.

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You are given the following data: You are given the following data:   Assuming that the data reflect the population of interest,the mean of the population is 36.00. Assuming that the data reflect the population of interest,the mean of the population is 36.00.

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Under what circumstances is it necessary to use the coefficient of variation to compare relative variability between two or more distributions?

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