Government agencies keep data about the income distribution of the population. The Bailey family and Martinez family live in a county with

14,000

families. The Bailey family's income is at the

78th

percentile. The Martinez family's income is at the

56th

percentile.

(a) Which of the following must be true about the Bailey family's and the Martinez family's incomes? The Martinez family earns more than the Bailey family. Both the Bailey family and the Martinez family earn more than themedianincome. The Bailey family earns $22,000 more than the Martinez family. The Bailey family and the Martinez family both have incomes in the bottom half of incomes in their county. (b) Which of the following must be true about the Bailey family's income? The Bailey family earns less than about 78% of families in their county. The Bailey family earns about 78% of the highest income in their county. The Bailey family earns more than about 78% of families in their county. The Bailey family earns about 22% of the highest income in their county.