For 100 days, a weather station recorded the daily maximum temperature (in °C) and grouped the data as follows:
Inclusive distribution:
24–25 (6), 26–27 (12), 28–29 (20), 30–31 (25), 32–33 (18), 34–35 (12), 36–37 (7)
Using these data, answer the following questions.
(i) Rewrite the distribution using continuous class intervals.
(ii) From the continuous distribution, prepare a cumulative frequency table and hence find the number of days on which the maximum temperature was less than 30.5 °C.
(iii) Draw a histogram for the continuous distribution on graph paper.