Exam 4: Numerical Descriptive Techniques

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Weights of Workers The following data represent the number of employees of a sample of 25 companies: 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 Workers Narrative} Construct a stem and leaf display for the number of workers.

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When the standard deviation is expressed as a percentage of the mean, the result is the coefficient of correlation.

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The horizontal lines extending to the left and to the right of the box in a box plot are called ____________________.

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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 value for Q3 can never be smaller than the value for Q1.

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A mutual fund you purchased in the years 2011-2014 has the following rates of return shown below: A mutual fund you purchased in the years 2011-2014 has the following rates of return shown below:    Compute the geometric mean. Compute the geometric mean.

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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. Pets Survey A sample of 36 families were asked how many pets they owned.Their responses are summarized in the following table.    -{Pets Survey Narrative} Determine the mean, the median, and the mode of the number of pets owned per family. -{Pets Survey Narrative} Determine the mean, the median, and the mode of the number of pets owned per family.

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If two data sets have the same range:

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μ\mu is a population parameter and \mu  is a population parameter and   is a sample statistic. is a sample statistic.

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

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Another word for the mean of a data set is the ____________________.

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Which of the following statements is true regarding the data set 8, 8, 8, 8, and 8?

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The following data represent the number of children in a sample of 10 families from a certain community: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2. a. Compute the range. b. Compute the variance. c. Compute the standard deviation. d. Compute the coefficient of variation. e. Explain why in this case range > variance > standard deviation > coefficient of variation.

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Graphical and numerical techniques, such as histograms and least squares lines provide identical information.

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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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Test Scores Suppose that an analysis of a set of test scores reveals that: Q1 = 45, Q2 = 85, Q3 = 105. -{Test Scores Narrative} What can you say about the relative position of each of the observations 34, 84, and 104, within this data set?

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Consider the following population of measurements: 162, 152, 177, 157, 184, 176, 165, 181, 170, and 163.Label and compute the variance and standard deviation.

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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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How is the value of the correlation coefficient r affected in each of the following cases? a. Each x value and y is multiplied by 4. b. Each x value is switched with the corresponding y value. c. Each x value is increased by 2.

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Which measure of central location can be used for both interval and nominal variables?

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