A teacher prepared the following table for the number of story books owned by 20 students, but the table contains some errors.
(a) Number of books: 0 1 2 3 4 5\newline Recorded frequency: 1 3 4 5 5 3
(b) (i) Verify that the frequencies shown do not correspond correctly to a total of 20 students. Explain the mistake you observe.
(c) (ii) The actual list of books owned by the 20 students is:\newline 3, 1, 4, 2, 0, 5, 2, 3, 4, 2, 1, 5, 4, 3, 3, 4, 2, 5, 1, 4.\newline Construct a correct ungrouped frequency distribution table for this raw data.
(d) (iii) Compare the correct table with the erroneous one and state two lessons a student should remember to avoid such mistakes while tabulating data.