2.16 Directory UMM :wiley:Public:college:statistics:Johnson:

a, 2.16

2.17 , , , , , , Class Midpoint Weight Frequency White Households Nonwhite Households Income Frequency Relative Frequency Relative 1000’s 1000’s Frequency 1000’s Frequency The American Statistician, Statistical Abstract of the United States 1990, 56 OURCE OURCE 2.99 1 3.01 4 3.03 4 3.05 4 3.07 7 3.09 17 3.11 24 3.13 17 3.15 13 3.17 6 3.19 2 3.21 1 [ 0 5 3926 .0639 2235 .1561 [ 5 10 7930 .1290 2679 .1871 [ 10 15 7852 .1277 2119 .1480 [ 15 25 14683 .2388 3351 .2341 [ 25 35 12956 .2107 2066 .1443 [ 35 50 14133 .2299 1867 .1304 CHAPTER 2 DESCRIBING PATTERNS IN DATA S : Adapted from Table 1 in Vardeman, S., “What About Other Intervals?” Vol. 46, No. 3, Aug. 1992, p. 195. S : U.S. Dept. of Commerce, Bureau of the Census, Washington, D.C., pp. 444 – 445. a. Complete the table by adding a relative frequency column and a density column. b. Using the results in part plot the density histogram for sizes of raise. Comment on the general appearance of the density histogram. The following table gives the class midpoint weights in grams and class frequencies for 100 newly minted U.S. pennies. a. Create a frequency distribution for these data by specifying the class limits assume all intervals are of the same length and adding a relative frequency column. b. Plot the relative frequency histogram of penny weights, and comment on its appearance. Would the configuration of the histogram change if densities rather than relative frequencies were used in its construction? Discuss. The accompanying table gives the frequency distributions of household incomes for white and nonwhite families in the United States as of 1987. We report only household incomes up to 50,000. a. Plot the relative frequency histograms for white household incomes and nonwhite household incomes. Compare the two histograms. Can you make any statements about the distribution of white household incomes relative to the nonwhite household incomes? Discuss. b. Add a column of densities to each of the income distributions. Plot the density histograms for white household incomes and nonwhite household v v v

2.5 NUMERICAL SUMMARIES OF DATA DISTRIBUTIONS