Answer Happy

10. Critical Thinking The following data represent annual salaries in thousands of dollars, for employees of a small company. Notice that the data have been sorted in increasing order. 54 55 55 57 57 59 60 65 65 65 66 68 68 69 69 70 70 70 75 75 75 75 77 82 82 82 88 89 89 91 91 97 98 98 98 280 (a) Make a histogram using the class boundaries 53.5.99.5. 145.5, 191,5, 237.5, 283.5. (b) Look at the last data value. Does it appear to be an outlier? Could this be the owner's salary? (c) Eliminate the high salary of 280 thousand dollars. Make a new histogram using the class boundaries 53.5, 62.5. 71.5, 80.5, 89.5, 98,5. Does this histogram reflect the salary distribution of most of the employees better than the histogram in part (a)?

Interpretation The oĝives 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. (a) How were the percentages shown in graph (ii) computed? (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?