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Exam 3: Describing Data: Numerical Measures

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Question 61

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

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Question 62

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A value that is typical or representative of the data is referred to as a measure of central location.

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Question 63

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When reporting descriptive statistics for a variable, why should the report include measures of location and dispersion?

The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147, and $136. What is the range?

What is a unique characteristic of the mean deviation?

Variation describes the degree of dispersion in the data.

What is the lowest level of measurement that a median can be computed?

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.

During the past six months, a purchasing agent placed the following three orders for coal: What is the weighted arithmetic mean price per ton?

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

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 ___________________.

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

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 arithmetic mean?

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?

The mean deviation is the sum of the absolute differences between each value and the median.

The distribution of annual salaries for 52 employees in a small manufacturing company has the following averages: the mean is $25,459, the median is $24,798 and the mode is $24,000. What is the total amount paid for employee salaries?

A sample of assistant professors on the business faculty at state-supported institutions in Ohio revealed the mean income to be $72,000 for nine months, with a standard deviation of $3,000. Using Chebyshev's Theorem, what proportion of the faculty earns more than $66,000, but less than $78,000?