Exam 3: Describing Data: Numerical Measures

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For any distribution, there are an equal number of values above and below the mean.

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A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table. A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table.   What is the median price of super unleaded gas? What is the median price of super unleaded gas?

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The arithmetic mean is the sum of the quantitative observations divided by the total number of observations.

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The mean, as a measure of central location, would be inappropriate for which one of the following?

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Five students were given a page of problems with instructions to solve as many as they could in one hour. The five students solved the following number of problems: 12, 10, 8, 6, and 4. What is the arithmetic mean number of minutes required per problem?

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The Canal Corporation recorded the last five annual percent changes in profit. The Canal Corporation recorded the last five annual percent changes in profit.   What is the mean annual percentage change over the last five years? What is the mean annual percentage change over the last five years?

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The mean monthly income of a group of college students is $500; the standard deviation is $50. According to Chebyshev's theorem, at least what percent of the incomes will lie between $400 and $600?

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What are the similarities and differences between the mean, the median, and the mode?

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In a departmental review of employee performance, three employees were scored a 4 (excellent performance), five employees were scored a 3 (average performance), and one employee was scored a 1 (below average performance). To compute a weighted mean, the weights would be ___________________.

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Coastal Carolina University recently surveyed a sample of students to determine how far they lived from campus. The results are shown below. Compute the standard deviation. Coastal Carolina University recently surveyed a sample of students to determine how far they lived from campus. The results are shown below. Compute the standard deviation.

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A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table. A sample of five full-service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table.   What is the mean price of unleaded plus gas? What is the mean price of unleaded plus gas?

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A sample of five full service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table. A sample of five full service gasoline stations, each carrying three grades of gasoline, was taken, and the price per liter (to the nearest cent) was recorded for each grade of gasoline, as shown in the following table.   What is the mean price of unleaded gas? What is the mean price of unleaded gas?

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A set of ordinal-, interval-, or ratio-level data may only have one mode.

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A disadvantage of using an arithmetic mean to summarize a set of data is that __________.

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The sum of the deviations of each data value from this measure of central location will always be zero.

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The same mean:

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If a set of quantitative observations contains an extreme value, the most representative measure of central location would be the __________.

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What is a disadvantage of the range as a measure of dispersion?

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The times (in minutes) that several underwriters took to review applications for similar insurance coverage are 50, 230, 52, and 57. What is the median length of time required to review an application?

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A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows:   What is the median? What is the median?

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