NAME: Quantitative Analysis Due: Assignment 2 Frequency Distributions SHOW YOUR WORK! Frequency Distributions 1.Suppose you have surveyed 30 people and asked them whether they are identify as white (w) or nonwhite (n), and whether they perceive themselves as being in the upper (u), middle (m) , working (w), or lower class (l). Your survey resulted in the raw data presented in the table to the right. a. What level of measurement is the variable race? b.What level of measurement is the variable class? c. Construct a frequency table for race (Hint: to make the table you will need to count up the number of people who self-identified as white (w) and the number of people who self-identified as nonwhite (n) from the table to the right.) d.Construct a frequency table for class. Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Person 10 Person 11 Person 12 Person 13 Person 14 Person 15 Person 16 Person 17 Person 18 Person 19 Person 20 Person 21 Person 22 Person 23 Person 24 Person 25 Person 26 Person 27 Person 28 Person 29 Person 30 Race w w w n n w n w w w w w n n w w w n n n n w w n w w n n n w Class l m m m l w w m w m w w w m m m m w w m l u w w w w m w w w e. What proportion of the 30 individuals is nonwhite? f. What percentage is white? g.Which is the smallest perceived class? h.Which two classes include the largest percentage of people? 1 2. Monitoring the Future 2008 respondents were asked to report the number of school days missed within the past 4 weeks. Frequency results are presented in the table below. a. Calculate a percent column for boys b. Calculate a cumulative percent column for boys. c. Calculate a percent column for girls d. Calculate a cumulative percent column for girls. e. Interpret (write a complete sentence about) the statistic in the cell that is circled. Number of days of school missed Boys (f) 0 403 371 1 98 138 2 55 71 3 46 53 4 to 5 26 46 6 to 10 9 18 11+ 5 10 Total (N) 642 707 Boys Percent (%) Boys Cumulative Percent Girls (f) Girls Percent (%) Girls Cumulative Percent Source: Monitoring the Future, 2008 2 Graphing 3.We selected a sample of people from the International Social Survey Program (ISSP) 2000. Raw data are presented for their social class (class) and number of household members (hompop). Class is a subjective measure, with respondents indicating L = lower, W = working, M = middle, and U = upper. a. Construct a frequency table for social class, reporting how many people selfidentified in each class category. (Report frequencies, percentages, and totals.) b.Construct a bar graph for the middle class category only showing the how many people in the middle class reported having one household member, how many people reported having two household members, etc. Remember to include appropriate titles, percentages, and labels. Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Person 10 Person 11 Person 12 Person 13 Person 14 Person 15 Person 16 Person 17 Person 18 Person 19 Person 20 Person 21 Person 22 Clas s l l l l m m m m m m m m m m m u u u w w w w Hompop Five Four One Seven Four Four Four One One Three Three Two Two Two Two Two Two Two Four Four Three Three Source: ISSP 2000 3 4. Examine the bar chart representing the percentage of people speaking a language other than English at home as shown in Figure 1. a. Overall (in both 2002 and 2008), which age group had the lowest percentage speaking a language other than English at home? b.Which age group(s) had the highest percentage speaking a language other than English at home? c. Describe (using a complete sentence) the differences between the 2002 and 2008 percentages for the 18 to 64-year-old category. To earn full credit, be sure to use a percentage point difference when reporting your answer. Figure 1. Percentage of People Speaking a Language Other Than English at Home Among the Population 5 and Over, by Age, 2002 and 2008 14.2% 65 and over 12.9% 19.2% 20.5% 5 to 17 0.0% 2002 2008 20.6% 18 to 64 18.5% 5.0% 10.0% 15.0% 20.0% 25.0% Source: U.S. Census Bureau, American Community Survey, 2002, Table P)35, and American Community Survey, 2008, Table C16007 4 5