Exam 3: Describing Data: Numerical Measures

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The relationship between the mean and median in a negatively skewed distribution would be that the _____________.

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What is the relationship among the mean, median, and mode in a symmetric distribution?

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For the past week, a company's common stock closed with the following prices: $61.5, $62, $61.25, $60.875, and $61.5. What was the price range?

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When computing the mean for grouped data, the numerator is the sum of _________.

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The variance of a sample of 121 observations equals 441. The standard deviation of the sample equals

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For a sample of similar sized all-electric homes, the March electric bills were (to the nearest dollar): $212, $191, $176, $129, $106, $92, $108, $109, $103, $121, $175, and $194. What is the range?

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Assume a student received the following grades for the semester: History, B; Statistics, A; Spanish, C; and English,C. History and English are 5 credit-hour courses, Statistics a 4 credit-hour course, and Spanish is a 3 credit-hour course. If 4 grade points are assigned for an A, 3 for a B, and 2 for a C, what is the weighted mean grade for the semester?

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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 super unleaded gas? What is the mean price of super unleaded 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 modal price of unleaded gas? What is the modal price of unleaded gas?

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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:   Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution? Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution?

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The U.S. Federal Aviation Administration reported that passenger revenues on international flights increased from $528 million in 1986 to $5,100 million in 2009. What is the geometric mean annual percent increase in international passenger revenues?

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The variance is the mean of the sum of the squared deviations between each observation and the median.

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A geometric mean is useful to compute the average percent change over _______.

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

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The sum of the deviations of each value from the mean is ___.

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Variation describes the degree of dispersion in the data.

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

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A sample of single persons receiving Social Security payments revealed these monthly benefits: $826, $699, $1,087, $880, $839, and $965. How many observations are below the median?

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If a distribution is highly skewed, the measure of central location called the ________ should be avoided.

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Over the last six months, the following numbers of absences have been reported: 6, 0, 10, 14, 8, and 0. What is the median number of monthly absences?

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