A class prepared the following two frequency tables:
Table I (Continuous Variable)
Class interval of daily study time (hours): 0–1, 1–2, 2–3, 3–4, 4–5
Corresponding frequencies: 3, 9, 12, 10, 6
Table II (Categorical Variable)
Preferred mode of commute to school: Walk, Bicycle, Bus, Car, Auto–rickshaw
Corresponding frequencies: 5, 12, 15, 6, 2
Using only words (no diagrams required), answer the following:
(a) Describe how the appearance of the graphical representation for Table I will differ from that of Table II with respect to the position of bars and the horizontal scale.
(b) Explain why the area of each rectangle has meaning in the first representation but not in the second.
(c) State what misunderstanding might arise if the rectangles for Table II are drawn adjacent to one another without gaps.