The manager at a water park constructed the following frequency distribution to summarize attendance in July and August.
Attendance ..... Frequency
1,000 up to 1,250 .... 5
1,250 up to 1,500 .... 6
1,500 up to 1,750 .... 10
1,750 up to 2,000 ... 20
2,000 up to 2,250 .. 15
2,250 up to 2,500 .... 4

a. Construct the corresponding relative frequency, cumulative frequency, and cumulative relative frequency distributions.
b. What is the most likely attendance range? How many times were attendance less than 2,000 people?
c. What percentage of the time was attendance at least 1,750 but less than 2,000 people? What percentage of the time were attendance less than 1,750 people? What percentage of the time was attendance 1,750 or more?
d. Construct a histogram. Comment on the shape of the distribution.