300 Review Questions - Chapter 4 (PDF)

Summary

These are review questions covering various concepts and aspects of statistical data analysis, particularly dispersion. The questions are designed to test understanding and application related to data distributions such as normal or bell-shaped and the interpretation of other descriptive summary measures like standard deviation. This study guide aids in preparing for exams.

Full Transcript

1\. The listing of data in order of magnitude (either ascending or descending) is termed a/an \_\_\_\_\_\_. - a\) Array - b\) Distribution - c\) Range - d\) Histogram Answer: a) Array Explanation: An array refers to data that has been arranged in a specific order, either ascending or d...

1\. The listing of data in order of magnitude (either ascending or descending) is termed a/an \_\_\_\_\_\_. - a\) Array - b\) Distribution - c\) Range - d\) Histogram Answer: a) Array Explanation: An array refers to data that has been arranged in a specific order, either ascending or descending. 2\. The charting of a frequency distribution using a \_\_\_\_\_\_ illustrates the extent to which sales ratios are in a normal (bell-shaped) distribution. - a\) Box plot - b\) Line graph - c\) Histogram - d\) Scatter plot Answer: c) Histogram Explanation: A histogram is a graphical representation of a frequency distribution, commonly used to assess whether data follow a normal (bell-shaped) distribution. 3\. Which of the following is not a common measure of dispersion? - a\) Mean - b\) Range - c\) Quartiles - d\) Standard deviation Answer: a) Mean Explanation: The mean is a measure of central tendency, not a measure of dispersion. Dispersion measures include range, quartiles, standard deviation, and more. 4\. \_\_\_\_\_\_ show the distribution of values for two binary or discrete variables. - a\) Scatter diagrams - b\) Cross-tabulations - c\) Box plots - d\) Pie charts Answer: b) Cross-tabulations Explanation: Cross-tabulations display the relationship between two binary or discrete variables, showing the distribution of values. 5\. \_\_\_\_\_\_ show the relationship between two quantitative variables with the dependent variable placed on the vertical axis and the independent variable placed on the horizontal axis. - a\) Histogram - b\) Pie chart - c\) Scatter diagrams - d\) Bar chart Answer: c) Scatter diagrams Explanation: Scatter diagrams are used to show the relationship between two variables, with the dependent variable on the vertical axis and the independent variable on the horizontal axis. 6\. A \_\_\_\_\_\_ can be used to show several variables simultaneously, or the same variable for different strata. - a\) Polygon - b\) Histogram - c\) Bar chart - d\) Box plot Answer: a) Polygon Explanation: A polygon can display several variables at once or the same variable for different groups (strata), often used in statistical analysis. 7\. \_\_\_\_\_\_ compare statistics (usually measures of central tendency) by strata, for example, average sale price by neighborhood. - a\) Contingency tables - b\) Breakdowns - c\) Scatter plots - d\) Cross-tabulations Answer: b) Breakdowns Explanation: Breakdowns are used to compare statistical measures like central tendency by strata or categories such as neighborhoods. 8\. \_\_\_\_\_\_ show the distribution of values for two binary or discrete variables. - a\) Contingency tables - b\) Scatter plots - c\) Frequency distributions - d\) Bar graphs Answer: a) Contingency tables Explanation: Contingency tables show the distribution of values for two binary or discrete variables and are often used in categorical data analysis. 9\. Interpretation of the \_\_\_\_\_\_ as a measure of spread or dispersion depends on the data being \'normally distributed\' (approximating a bell-shaped curve). - a\) Range - b\) Standard deviation - c\) Coefficient of variation - d\) Quartiles Answer: b) Standard deviation Explanation: The standard deviation is best interpreted when the data follow a normal distribution, as it measures the spread of data points around the mean. 10\. The \_\_\_\_\_\_ expresses the standard deviation as a percentage of the mean. - a\) Range - b\) Coefficient of variation - c\) Quartiles - d\) Mean absolute deviation Answer: b) Coefficient of variation Explanation: The coefficient of variation expresses the standard deviation relative to the mean, making it useful for comparing variability between different datasets. 11\. Cases beyond the whiskers in box plots are \_\_\_\_\_\_ and \_\_\_\_\_\_. - a\) Outliers and extremes - b\) Quartiles and percentiles - c\) Variables and constants - d\) Errors and omissions Answer: a) Outliers and extremes Explanation: In box plots, values that fall beyond the whiskers represent outliers and extreme data points, indicating potential anomalies in the dataset.

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