Question

A doctor's office staff studied the waiting times for patients who arrive at the office with a request for emergency service. The following data with waiting times in minutes were collected over a one-month period. 3 9 10 13 3 5 5 17 12 6 7 7 12 21 6 8 9 12 16 4 a.Fill in the frequency (to the nearest whole number) and the relative frequency (2 decimals) values below. Waiting Time Frequency Relative Frequency 0-4 5-9 10-14 15-19 20-24 (Total) b.Fill in the cumulative frequency (to the nearest whole number) and the cumulative relative frequency (2 decimals) values below. Waiting Time Cumulative Frequency Cumulative Relative Frequency Less than or equal to 4 Less than or equal to 9 Less than or equal to 14 Less than or equal to 19 Less than or equal to 24 c.What proportion of patients needing emergency service wait 9 minutes or less? Icon Key

Answer 1

a)

x	frequency	relative frequency
0-4	3	0.15
5-9	9	0.45
10-14	5	0.25
15-19	2	0.1
20-24	1	0.05

b)

	cumulative	cumulative
x	frequency	relative frequency
<=4	3	0.15
4<x'<=9	12	0.6
9<x<=14	17	0.85
14<x<=19	19	0.95
19<X<=24	20	1

c)

proportion of patients needing emergency service wait 9 minutes or less =0.6