Exam 4: Descriptive Statistics

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VenalCo Market Research surveyed 50 individuals who recently purchased a certain CD, revealing the age distribution shown below. Which statement is least defensible? VenalCo Market Research surveyed 50 individuals who recently purchased a certain CD, revealing the age distribution shown below. Which statement is least defensible?

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A

In Tokyo, construction workers earn an average of ×420,000 (yen) per month with a standard deviation of ×20,000, while in Hamburg, Germany, construction workers earn an average of €3,200 (euros) per month with a standard deviation of €57. Who is earning relatively more, a worker making ×460,000 per month in Tokyo or one earning €3,300 per month in Hamburg?

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B

Which is true of skewness?

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C

The sum of the deviations around the mean is always zero.

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The following frequency distribution shows the amount earned yesterday by employees of a large Las Vegas casino. Estimate the mean daily earnings. Earnings (dollars) Frequency 50<75 10 75<100 15 100<125 60 125<150 40 150<175 10

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The midrange is not greatly affected by outliers.

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Five homes were recently sold in Oxnard Acres. Four of the homes sold for $400,000, while the fifth home sold for $2.5 million. Which measure of central tendency best represents a typical home price in Oxnard Acres?

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A trimmed mean may be preferable to a mean when a data set has extreme values.

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John scored 85 on Prof. Hardtack's exam (Q1 = 40 and Q3 = 60). Based on the fences, which is correct?

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A national survey showed that most commuter cars contain only the driver. Hungry for a story, a campus newspaper reporter asked five randomly chosen commuter students how many occupants, including the driver, rode to school in their cars. Their responses were 1, 1, 1, 1, and 6. The next day a story appeared in the paper headlined "University Commuters Double National Average Ridership." Is this a reasonable assessment of central tendency? How would you characterize the variability of the sample?

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A survey of 10 randomly chosen drivers showed the following number of persons per car, including the driver: 1, 5, 1, 5, 2, 1, 1, 1, 2, 1. Describe the center, variability, and skewness for this sample.

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A positive kurtosis coefficient in Excel indicates a leptokurtic condition in a distribution.

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A platykurtic distribution is more sharply peaked (i.e., thinner tails) than a normal distribution.

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A population consists of the following data: 7, 11, 12, 18, 20, 22, 25. The population variance is:

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A sample of customers from Barnsboro National Bank shows an average account balance of $315 with a standard deviation of $87. A sample of customers from Wellington Savings and Loan shows an average account balance of $8350 with a standard deviation of $1800. Which statement about account balances is correct?

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If Q1 = 150 and Q3 = 250, the upper fences (inner and outer) are:

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In calculating the sample variance, the sum of the squared deviations around the mean is divided by n - 1 to avoid underestimating the unknown population variance.

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One disadvantage of the range is that:

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If the standard deviations of two samples are the same, so are their coefficients of variation.C.V.

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If there are 20 data values, the median will be halfway between two data values.

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