1. **State the problem:** We are given per capita disposable income data for 25 cities and asked to construct a frequency histogram with the first class having a lower limit of 30,000 and a class width of 6,000. 2. **Define class intervals:** Starting at 30,000 with width 6,000, the classes are: - 30,000 to less than 36,000 - 36,000 to less than 42,000 - 42,000 to less than 48,000 - 48,000 to less than 54,000 3. **Count frequencies:** Count how many data points fall into each class. - 30,000 to <36,000: Values are 30,127, 30,452, 30,710, 32,153, 32,969, 33,654, 33,859, 34,300, 34,643, 34,930, 35,181, 35,608, 35,833, 35,910 (14 values) - 36,000 to <42,000: Values are 36,880, 37,248, 37,825, 38,450, 38,750, 38,924, 39,882, 40,274, 41,066, 41,401 (10 values) - 42,000 to <48,000: No values fall in this range (0 values) - 48,000 to <54,000: Value is 52,499 (1 value) 4. **Interpret frequencies:** - First class: 14 - Second class: 10 - Third class: 0 - Fourth class: 1 5. **Match with graphs:** - Graph A shows small bar for 30-36, medium for 36-42, large for 42-48, medium for 48-54, which does not match. - Graph B shows largest bar for 30-35, medium for 35-40, very small for 40-45 and 45-50, which roughly matches our counts if we consider 30-36 and 36-42 combined as 30-35 and 35-40. - Graph C shows largest bar for 30-36, medium for 36-42, very small for 42-48 and 48-54, which matches our counts best. **Final answer:** The correct histogram is **Graph C**.