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# Statistics exercises

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11. Consider the following data.

14 21 23 21 16
19 22 25 16 16
24 24 25 19 16
19 18 19 21 12
15 17 18 23 25
20 23 16 20 19
24 26 15 22 24
21 22 24 22 20

a. Develop a frequency distribution using class limits of 12-14, 15-17, 18-20, 21-23, and 24-26.
b. Develop a relative frequency distribution and a percent frequency distribution using the class limits in part (a).

A doctor's office staff has studied the waiting times for patients who arrive at the office with a request for emergency service. The following data were collected over a 1-month period (the waiting times are in minutes).

2 5 10 12 4 4 5 17 11 8 9 8 12 21 6 8 7 13 18 3

Use classes of 0-4, 5-9, and so on.
a. Show the frequency distribution
b. Show the relative frequency distribution
c. Show the cumulative frequency distribution
d. Show the cumulative relative frequency distribution
e. What proportion of patients needing emergency service have a waiting time of 9 minutes or less?

19. The data for the number of units produced by a production employee during the most recent 20 days are shown here.

160 170 181 156 176
148 198 179 162 150
161 156 179 178 151
157 154 179 148 156

Summarize the data by constructing the following.
a. A frequency distribution
b. A relative frequency distribution
c. A cumulative frequency distribution
d. A cumulative relative frequency distribution
e. An ogive.