The manager of a nightclub near a local university recorded the ages of the last 100 guests in the following cumulative frequency distribution.
Ages ....... Cumulative Frequency
18 up to 22 ..... 45
22 up to 26 .... 70
26 up to 30 .... 85
30 up to 34 .... 96
34 up to 38 .... 100

a. Construct the corresponding frequency, relative frequency, and cumulative relative frequency distributions.
b. How many of the guests were at least 26 but less than 30 years old? What percent of the guests were at least 22 but less than 26 years old? What percent of the guests were younger than 34 years old? What percent were 34 years or older?
c. Construct a histogram. Comment on the shape of the distribution.