Exam 3: Numerical Descriptive Techniques

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The advantage that the coefficient of correlation has over the covariance is that the former has set lower and upper limits.

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A statistic that interprets the standard deviation relative to the size of the numbers in the data set is called the ____________________ of ____________________.

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The line drawn within the box of a box plot always represents the mean.

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The units for the variance are the same as the units for the original data (for example, feet, inches, etc.).

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Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern), the covariance will be:

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Longevity and Salary: A sample of eight observations of variables x (years of experience) and y (salary in $1,000s) is shown below: Longevity and Salary: A sample of eight observations of variables x (years of experience) and y (salary in $1,000s) is shown below:    -A. Calculate and interpret the covariance between x and y. B. Give a possible reason that the covariance is negative. -A. Calculate and interpret the covariance between x and y. B. Give a possible reason that the covariance is negative.

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According to the Empirical Rule, if the data form a bell shaped normal distribution, approximately ____________________ percent of the observations will be contained within 2 standard deviations around the mean.

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The ____________________ is the least desirable of all the measures of central location.

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When extreme values are present in a set of data, which of the following descriptive summary measures are most appropriate?

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Which of the following are measures of the linear relationship between two variables?

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Compute the coefficient of variation, and express the number in the appropriate unit.

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In a negatively skewed distribution, which of the following is the correct statement?

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Test Scores: Suppose that an analysis of a set of test scores reveals that: Q1 = 45, Q2 = 85, Q3 = 105. -Calculate the interquartile range. What does this tell you about the data?

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What percentage of the time will the number of containers of milk sold be more than 2 standard deviations from the mean?

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The standard deviation is expressed in terms of the original units of measurement but the variance is not.

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The distance between the 25th percentile and the median is always the same as the distance between the median and the 75th percentile.

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Yearly Donations: The following data represent the yearly donations (in thousands of dollars) of a sample of 13 benefactors: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2. -Compute and interpret the 90th percentile.

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The data set 10, 20, 30 has the same variance as the data set 100, 200, 300.

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Computers: The following data represent the number of computers owned by a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2. -Is the distribution of the number of computers symmetric or skewed? Why?

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The standard deviation is the positive square root of the variance.

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