SOCIAL STATISTICS SOC 24100 Homework #4 Due: February 21 Questions: 1. Fill in the following table with a “yes” or “no” in each cell of the table, representing whether the measure of variability to...

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SOCIAL STATISTICS SOC 24100 Homework #4 Due: February 21 Questions: 1. Fill in the following table with a “yes” or “no” in each cell of the table, representing whether the measure of variability to the left can be calculated for a variable with the level of measurement above the cell. Ordinal Variable Interval-Ratio Variable Range IQR Variance Standard Deviation 2. Why is it important to calculate measures of variability? 3. If Professor Taylor and Professor Silver both taught sections of statistics, and their final grade distributions had the following central tendencies and variability, whose class would you rather be in? Why? Professor Taylor Professor Silver Mean 83.57 82.86 Median 95 82 Mode 98 80 Range 50 to 99 80 to 88 IQR 70 to 98 80 to 85 Variance 309.96 7.55 Standard Deviation 17.61 2.75 4. Occupational prestige is a statistic developed by sociologists to measure the status of one’s occupation. Occupational prestige is also a component of what sociologists call socioeconomic status, a composite measure of one’ status in society. On average, people with more education tend to have higher occupational prestige than people with led education. We investigate this using GSS 2014 data. Occupational Prestige by Highest Degree High school Degree Bachelor’s Degree Mean 38.82 50.02 Median 38.00 50.00 Variance 126.725 172.360 Standard Deviation 11.257 13.125 Range 59 59 Interquartile Range 16 21 a. Looking at the values of the mean and median, do you think the distribution of prestige is skewed for respondents with a high school diploma? For respondents with a bachelor’s degree? b. Explain why you think there is more variability of prestige for either group, or why the variability of prestige is similar for the two groups. 5. The 2015 average life expectancy for the total population is reported for 10 countries. Calculate the appropriate measures of central tendency and variability for both European countries and non-European countries. Is there more variability in life expectancy for European countries or non-European countries? Country Life Expectancy at Birth European Countries France 81.8 Germany 80.6 Netherlands 81.2 Spain 81.6 Turkey 74.6 Non-European Countries Japan 84.7 Australia 82.1 Mexico 75.7 Iceland 83.0 Israel 82.3