The ogives shown are based on U.S. Census data and show the average annual personal income per capita for each of the 50 states. The data are rounded to the nearest thousand dollars. (1) Ogive Personal Income per Capita by State Cumulative frequency 48 50 50 45 40 36 30 20 10 0 Per capita income 27.5 32.5 37.5 425 47.5 525 ($1000) (i) Ogive Showing Cumulative Percentage of Data Personal Income per Capita by State Percent of states 100 96% 100% 90 90%% 80 72% 70 60 501 40 30 32" 20 10 10%% Per capita income 27.5 32.5 37.5 42.5 47.5 52.5 ($1000) (a) How were the percentages shown in graph (ii) computed? The percentages in graph (II) were computed by dividing each of the cumulative frequencies in graph (1) by 50 and then converting those values into fractions. The percentages in graph (II) were computed by dividing each of the cumulative frequencies in graph (1) by 100 and then converting those values into decimals. The percentages in graph (il) were computed by multiplying each of the cumulative frequencies in graph (1) by 100 and then converting those values into decimals. The percentages in graph (iI) were computed by dividing each of the cumulative frequencies in graph (1) by 50 and then converting those values into percents. The percentages in graph (II) were computed by multiplying each of the cumulative frequencies in graph (1) by 50 and then converting those values into percents. (b) How many states have average per capita income less than 37.5 thousand dollars? (c) How many states have average per capita income between 42.5 and 52.5 thousand dollars? (d) What percentage of the states have average per capita income more than 47.5 thousand dollars