Exam 2: Describing the Distribution of a Single Variable

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Suppose that an analysis of a set of test scores reveals that: Suppose that an analysis of a set of test scores reveals that:     , and   -What can you say about the relative position of each of the observations 34, 84, and 104? Suppose that an analysis of a set of test scores reveals that:     , and   -What can you say about the relative position of each of the observations 34, 84, and 104? , and Suppose that an analysis of a set of test scores reveals that:     , and   -What can you say about the relative position of each of the observations 34, 84, and 104? -What can you say about the relative position of each of the observations 34, 84, and 104?

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The data shown below contains family incomes (in thousands of dollars) for a set of 50 families sampled in 2007 and 2017. Assume that these families are good representatives of the entire United States. The data shown below contains family incomes (in thousands of dollars) for a set of 50 families sampled in 2007 and 2017. Assume that these families are good representatives of the entire United States.   ​ -Find the mean, median, standard deviation, first and third quartiles, and the 95<sup>th</sup> percentile for family incomes in both years. ​ -Find the mean, median, standard deviation, first and third quartiles, and the 95th percentile for family incomes in both years.

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The number of car insurance policy holders is an example of a discrete numerical variable.

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The interquartile range (IQR) encompasses what percent of the observations?

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A distribution with a high kurtosis has almost all of its observations within three standard deviations of the mean.

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The mode is best described as the:

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A frequency table indicates how many observations fall within each category, and a histogram is its graphical analog.

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Data that arise from counts are best described as _____ data.

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There are four quartiles that divide the values in a data set into four equal parts.

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The length of the box in the box plot portrays the:

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What measure of distribution relates to extreme events, such as a stock market crash?

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As a graphical tool, the histogram is ideal for showing whether the distribution of a numerical variable is symmetric or skewed.

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Data can be categorized as cross-sectional or time series.

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A think tank of economists is interested in how the distribution of family income has changed in Country X during the last 20 years. The summary measures and histograms shown below are generated for a sample of 500 family incomes, using the 1997 and 2017 income for each family in the sample. Summary Measures (in thousands of dollars): A think tank of economists is interested in how the distribution of family income has changed in Country X during the last 20 years. The summary measures and histograms shown below are generated for a sample of 500 family incomes, using the 1997 and 2017 income for each family in the sample. Summary Measures (in thousands of dollars):   ​     Based on these results, discuss as completely as possible how the distribution of family income in Country X changed from 1997 to 2017.A think tank of economists is interested in how the distribution of family income has changed in Country X during the last 20 years. The summary measures and histograms shown below are generated for a sample of 500 family incomes, using the 1997 and 2017 income for each family in the sample. Summary Measures (in thousands of dollars):   ​     Based on these results, discuss as completely as possible how the distribution of family income in Country X changed from 1997 to 2017. A think tank of economists is interested in how the distribution of family income has changed in Country X during the last 20 years. The summary measures and histograms shown below are generated for a sample of 500 family incomes, using the 1997 and 2017 income for each family in the sample. Summary Measures (in thousands of dollars):   ​     Based on these results, discuss as completely as possible how the distribution of family income in Country X changed from 1997 to 2017. Based on these results, discuss as completely as possible how the distribution of family income in Country X changed from 1997 to 2017.

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The median of a data set with 30 values would be the average of the 15th and the 16th values when the data values are arranged in ascending order.

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A variable is classified as ordinal if:

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Excel® stores dates as:

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Age, height, and weight are examples of numerical data.

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In order for the characteristics of a sample to be generalized to the entire population, the sample should be:

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Based on the histogram shown below, how would you describe the age distribution for these data? Based on the histogram shown below, how would you describe the age distribution for these data?

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