3.1. Table 3.12 shows the number (in millions) of the foreign-born population of the United States, by place of birth.

(a) Construct a relative frequency distribution.

(b) Sketch the data in a bar graph.

(c) Is "place of birth" quantitative, or categorical?

(d) Use whichever of the following measures is relevant for these data: mean, median, mode.

TABLE 3.12 Place of Birth Number Europe 4.5 Asia 10.1 Caribbean 3.6 Central America 14.4 South America 2.4 Other 2.6 Total 37.6

3.4. According to the 2015 American Community Survey, in 2012 the United States had 30.1 million households with one person, 37.1 million with two persons, 17.8 million with three persons, 15.0 million with four persons, and 10.4 million with five or more persons.

(a) Construct a relative frequency distribution.

(b) Sketch a histogram. What is its shape?

(c) Report and interpret the (i) median, (ii) mode of household size.

3.14. Table 3.15 summarizes responses of 2223 subjects in the 2014 GSS to the question "About how often did you have sex during the last 12 months?"

(a) Report the median and the mode. Interpret.

(b) Treat this scale in a quantitative manner by assigning the scores 0, 0.1, 1.0, 2.5, 4.3, 10.8, and 17 to the categories, for approximate monthly frequency. Find the sample mean, and interpret.

TABLE 3.15 How Often Had Sex Frequency Not at all 571 Once or twice 220 About once a month 255 2 or 3 times a month 357 About once a week 333 2 or 3 times a week 365 More than 3 times a week 122