(Hypothetical.) In one study, 100 people had their heights measured to the nearest eighth of an inch. A histogram for the results is shown below. Two of the following lists have this histogram. Which ones, and why?

(i) 25 people, 67 inches tall; 50 people, 68 inches tall; 25 people, 69 inches tall.

(ii) 10 people, 66 $\frac{3}{4}$ inches tall; 15 people, 67 $\frac{1}{4}$ inches tall; 50 people, 68 inches tall; 25 people, 69 inches tall.

(iii) 30 people, 67 inches tall; 40 people, 68 inches tall; 30 people, 69 inches tall. P-968