The ogives shown are based on data collected on the U.S. and show the average annual personal income per capita for each of the 50 states. The data are rounded to the nearest thousand dollars. (i) Ogive Cumulative frequency 55 50 45 40 35 30 25 20 15 10 Personal Income per Capita by State 17 48 43 36 5 0 0 27.5 32.5 37.5 42.5 47.5 52.5 Per capita Income ($1,000) (ii) Ogive Showing Cumulative Percentage of Data Personal Income per Capita by State Percent of states 100 80 96% 86% 72% 100% 60 34% 40 20- 0% 27.5 32.5 37.5 42.5 47.5 52.5 Per capita Income ($1,000) 50 (a) How were the percentages shown in graph (ii) computed? 00 O The percentages in graph (ii) were computed by dividing each of the cumulative frequencies in graph (i) 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 (i) 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 (i) by 100 and then converting those values into decimals. The percentages in graph (ii) were computed by multiplying each of the cumulative frequencies in graph (i) by 50 and then converting those values into percents. The percentages in graph (ii) were computed by dividing each of the cumulative frequencies in graph (i) by 50 and then converting those values into fractions. (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?