A school has conducted a survey of 60 students to investigate the time it takes for them to travel to school. The following data gives their travel times to the nearest minute.
12 15 16 8 10 17 25 34 42 18 24 18 45 33 38
45 40 3 20 12 10 10 27 16 37 45 15 16 26 32
35 8 14 18 15 27 19 32 6 12 14 20 10 16 14
28 31 21 25 8 32 46 14 15 20 18 8 10 25 22
(1) Is travel time a discrete or continuous variable?
(2) Construct a frequency table for the data using class intervals 0≤t<10 , 10≤t<20 , ..., 40≤t<50 .
(3) Hence draw a histogram to display the data.
(4) Describe the distribution of the data.
(5) What is the modal travelling time?