e following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals. Hospital A waiting Times (Minutes) Frequency of Patients Hospital B waiting Times (Minutes) Frequency of Patients 6-10 2 6-10 4 11-15 10 11-15 17 16-20 25 16-20 35 21-25 37 21-25 27 26-30 26 26-30 20 31-35 20 31-35 17 36-40 18 36-40 9 41-45 12 41-45 6 46-50 10 46-50 5 Total 160 Total 140 a) Determine the mean and standard deviation of waiting times for each hospital; b) Determine the coefficient of variation for each hospital’s waiting times; c) Determine the coefficient of skewness for each hospital’s waiting times; d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals.
e following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals. Hospital A waiting Times (Minutes) Frequency of Patients Hospital B waiting Times (Minutes) Frequency of Patients 6-10 2 6-10 4 11-15 10 11-15 17 16-20 25 16-20 35 21-25 37 21-25 27 26-30 26 26-30 20 31-35 20 31-35 17 36-40 18 36-40 9 41-45 12 41-45 6 46-50 10 46-50 5 Total 160 Total 140 a) Determine the mean and standard deviation of waiting times for each hospital; b) Determine the coefficient of variation for each hospital’s waiting times; c) Determine the coefficient of skewness for each hospital’s waiting times; d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
The following two grouped frequency distributions represent the times, over a one-week period, that patients had to wait before seeing a doctor in the Accident and Emergency department of two hospitals.
|
Hospital A waiting Times (Minutes) |
Frequency of Patients |
Hospital B waiting Times (Minutes) |
Frequency of Patients |
|
6-10 |
2 |
6-10 |
4 |
|
11-15 |
10 |
11-15 |
17 |
|
16-20 |
25 |
16-20 |
35 |
|
21-25 |
37 |
21-25 |
27 |
|
26-30 |
26 |
26-30 |
20 |
|
31-35 |
20 |
31-35 |
17 |
|
36-40 |
18 |
36-40 |
9 |
|
41-45 |
12 |
41-45 |
6 |
|
46-50 |
10 |
46-50 |
5 |
|
Total |
160 |
Total |
140 |
- a) Determine the mean and standard deviation of waiting times for each hospital;
- b) Determine the coefficient of variation for each hospital’s waiting times;
- c) Determine the coefficient of skewness for each hospital’s waiting times;
- d) With reference to parts (a), (b) and (c) discuss the differences in waiting times between the two hospitals.
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