The weights (in kg) of 70 students were represented in a histogram with the following special features:
• Continuous class intervals of equal width 5 kg, beginning at 35 kg and ending at 65 kg.
• The vertical axis is drawn up to 25 students, then shows a break and resumes at 55 students to accommodate taller bars.
• The tops of the bars reach the following student counts:
35–40 kg: 8 40–45 kg: 12 45–50 kg: 22 50–55 kg: 18 55–60 kg: 6 60–65 kg: 4.
(a) Construct the regular frequency distribution table for the data.
(b) Add a cumulative (less-than) frequency column to your table.
(c) Using the cumulative frequency, estimate the median weight of the students.