Exam 3: Describing Data: Numerical Measures

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What is the median of 26, 30, 24, 32, 32, 31, 27, and 29?

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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 unleaded plus gas? What is the median price of unleaded plus gas?

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According to Chebyshev's theorem, at least what percent of the observations lie within plus and minus 1.75 standard deviations of the mean?

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For a set of data arranged or sorted in numerical order, the value of the observation in the center is called the weighted mean.

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A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample variance of bottle weight?

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Which measures of central location are not affected by extremely small or extremely large values?

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The only time the variance equals the standard deviation is when _____________.

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The geometric mean is the nth root of n observations.

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The sample variance of hourly wages was 10. What is the sample standard deviation?

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On a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93. What is the weighted mean for all 32 students taking the exam?

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A small manufacturing company with 52 employees has annual salaries distributed such that the mean is $25,459, the median is $24,798 and the mode is $24,000. An additional foreman is hired at an annual salary of $50,700. The measure of central location that is affected by the addition of this salary is called the _________________.

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The distribution of a sample of the outside diameters of PVC pipes approximates a symmetrical, bell-shaped distribution. The arithmetic mean is 14.0 inches, and the standard deviation is 0.1 inches. About 68% of the outside diameters lie between what two amounts?

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For any data set, Chebyshev's theorem estimates the proportion of observations that occurs within k standard deviations of the mean, where k is greater than 1.0.

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The square root of the variance is called the ______.

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A population consists of all the weights of all defensive tackles on a university's football team. They are Johnson, 204 pounds; Patrick, 215 pounds; Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation (in pounds)?

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In a frequency distribution, the class with the largest number of observations is called the ___________.

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In a company, the standard deviation of the ages of female employees is 6 years and the standard deviation of the ages of male employees is 10 years. These statistics indicate that the dispersion of age is greater for females than for males.

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The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20. Using the Empirical rule, about 95% of the monthly food expenditures are between what two amounts?

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A company studied the commissions paid to furniture salespersons. If the variance is computed, the unit of measure is _________.

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Based on the Empirical rule, what percent of the observations will lie between plus or minus two standard deviations from the mean?

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