The following data are the lengths of 30 trout caught in a lake during a fishing competition. The measurements were rounded *down* to the next centimetre.
31 38 34 40 24 33 30 36 38 32 35 32 36 27 35
40 34 37 44 38 36 34 33 31 38 35 36 33 33 28
(1) Construct a cumulative frequency table for trout lengths, x cm, using the intervals 24≤x<27 , 27≤x<30 , and so on.
(2) Draw a cumulative frequency graph for the data.
(3) Hence estimate the median length.
(4) Use the original data to find its median and compare your answer with c.