Exam 3: Describing Data: Numerical Measures

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A bottling company offers three kinds of delivery service - instant,same day and within five days.The profit per delivery varies according to the kind of delivery.The profit for an instant delivery is less than the other kinds because the driver has to go directly to a grocery store with a small load and return to the bottling plant.To find out what effect each type of delivery has on the profit picture,the company summarized the data in the following table based on deliveries for the previous quarter. A bottling company offers three kinds of delivery service - instant,same day and within five days.The profit per delivery varies according to the kind of delivery.The profit for an instant delivery is less than the other kinds because the driver has to go directly to a grocery store with a small load and return to the bottling plant.To find out what effect each type of delivery has on the profit picture,the company summarized the data in the following table based on deliveries for the previous quarter.   What is the weighted mean profit per delivery? What is the weighted mean profit per delivery?

(Multiple Choice)
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What is the class with the largest number of observations called? ______________

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What is the relationship between the variance and the standard deviation?

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What is a unique characteristic of the mean deviation?

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

(Multiple Choice)
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A sample of the paramedical fees charged by clinics revealed these amounts: $55,$49,$50,$45,$52 and $55.What is the median charge?

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

(True/False)
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During the past six months,the purchasing agent bought: During the past six months,the purchasing agent bought:   What is the weighted arithmetic mean price per ton? What is the weighted arithmetic mean price per ton?

(Multiple Choice)
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According to the Empirical Rule,75% percent of the observations lie within plus and minus 2.00 average mean deviations.

(True/False)
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The Empirical Rule states that about 68% of the observation will lie within one standard deviation of the mean;about 95% of the observations will lie within two standard deviations of the mean;and virtually all (99.7%)will lie within three standard deviations of the mean.

(True/False)
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A question in a market survey asks for a respondent's favorite car color.Which measure of central location should be used to summarize this question?

(Multiple Choice)
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A sample of assistant professors on the business faculty at state supported institutions in Ohio revealed the mean income to be $72,000 for 9 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?

(Multiple Choice)
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If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10,what is the sample standard deviation?

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What is the smallest measure of central location in a positively skewed distribution? ____________.

(Short Answer)
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What are the similarities and differences between the mean,the median,and the mode?

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