36. Example 1: The following data represent the number of customers waiting for a table at 6:00 P.M.

for 40 consecutive Saturdays at Bobak’s Restaurant:

11 5 11 3 6 8 6 7

4 5 13 9 6 4 14 11

13 10 9 6 8 10 9 5

10 8 7 3 8 8 7 8

7 9 10 4 8 6 11 8

(a) Are these data discrete or continuous? Explain.

(b) Construct a frequency distribution of the data.

(c) Construct a relative frequency distribution of the data.

(d) What percentage of the Saturdays had 10 or more customers waiting for a table at 6:00 p.m.?

(e) Construct a frequency histogram of the data.

38. The following data represent the percentage of people without health insurance for

the 50 states and the District of Columbia in 2006.

15.2   16.5 20.9  18.9  18.8  17.2

9.4    12.1  11.6  21.2  17.7  8.9

15.4  14.0  11.8  10.5  12.3  15.6

21.9  9.3  13.8  10.4  10.5  9.2

20.8  13.317.112.319.611.5

15.522.914.017.912.210.1

18.917.910.08.615.911.8

13.724.517.410.213.311.8

13.58.814.6

With the first class having a lower class limit of 8 and a class width of 2:

(a) Construct a frequency distribution.

Put the data in ascending order first:

 (b) Construct a relative frequency distribution.

Construct a stem and leaf plot and (b) describe the shape of the distribution.

44. the following data represent the divorce rate (per 1000 population) for most states in the United States in the year 2004

Note: the list includes the District of Columbia, but excludes California, Georgia, Hawaii, Indiana, Louisiana, and Oklahoma because of failure to report.

4.74.84.26.34.42.93.7

1.74.85.12.62.83.34.9

3.63.12.23.52.84.53.8

3.83.66.43.93.04.63.0

4.42.83.74.12.53.03.2

3.25.03.63.93.94.04.1

4.73.15.3

24. the following data (table on top of next column) represent the travel time ( in minutes) to school for nine students enrolled in Sullivan’s College Algebra course. Treat the nine students as a population.

(A)   Compute the population mean for travel time.

(B)   Determine three simple random sample of size 4 and compute the sample mean for travel time of each sample.

Student                        Travel Time

Amanda                       39

Amber                         21

Tim                              9

Mike                            32

Nicole                          30

Scott                            45

Erica                            11

Tiffany                         12

Glenn                           39

26. the following data (table on top of next column) represent the travel time ( in minutes) to school for nine students enrolled in Sullivan’s College Algebra course. Treat the nine students as a population.

Student                        Travel Time

Amanda                       39

Amber                         21

Tim                              9

Mike                            32

Nicole                          30

Scott                            45

Erica                            11

Tiffany                         12

Glenn                           39

(A)Compute the population standard deviation

B Determine three simple random samples of size 4, and compute the sample standard deviation of each sample.