The marks (out of 50) obtained by 30 students in a class test are listed below:
32, 18, 27, 35, 42, 19, 24, 25, 31, 38,
29, 14, 48, 22, 26, 33, 37, 41, 17, 28,
23, 30, 39, 34, 21, 40, 36, 20, 45, 27
Answer the following:
(i) Form a grouped frequency distribution table using class intervals of equal width 6, starting from 12–17.
(ii) State, with justification, whether the graph you construct from this table should have adjacent rectangles or separated rectangles.
(iii) On a rough sketch (no scale required), mark the class interval that will have the tallest rectangle and explain why.
(iv) If another student records the number of different sports preferred by these 30 students and decides to represent that information using the same type of graph as in part (ii), explain whether this decision is appropriate and why.