Exam 3: Numerical Descriptive Techniques

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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. -Calculate the median age of the uninsured senior citizens.

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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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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. -Compute the median 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. -Determine the location and value of the 60th percentile of the weights.

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Ages of Workers: The ages (in years) of three groups of workers are shown below: Ages of Workers: The ages (in years) of three groups of workers are shown below:    -Calculate and compare the standard deviations for the three samples. -Calculate and compare the standard deviations for the three samples.

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Suppose your data set contains ages (in years) and you calculate the range, variance, standard deviation, and coefficient of variation for the data. Explain what units each of these measures is in.

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

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The 10th ____________________ is the value for which 10% of the observations are less than that value.

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If a data set is composed of 5 different numbers, there are ____________________ modes.

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Which measure of central location is meaningful when the data are ordinal?

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The length of the box in the box plot portrays the:

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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. -Compute the sample mean hours.

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The difference between the largest and smallest observations in an ordered data set is called the range.

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If two data sets have the same range:

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The mean is a measure of variability.

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Test Scores: Suppose that an analysis of a set of test scores reveals that: Q1 = 45, Q2 = 85, Q3 = 105. -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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The number of hours a college student spent studying during the final exam week was recorded as follows: 7, 6, 4, 9, 8, 5, and 10. Compute s2 and s for the data and express the numbers in the appropriate unit.

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A percentile is a measure of ____________________ standing.

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A sample of 13 college professors has a mean age of 30 years and a standard deviation of 5 years. Suppose that the sample is enlarged to 15 college professors, by including two additional professors that are each 30 years old. Will the standard deviation increase, decrease, or stay the same, and why?

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A population with 200 elements has a variance of 20. From this information, it can be shown that the population standard deviation is 10.

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