Question

1- the number of days a patient was hospitalized with a diagnosis of traumatic injury were recorded as follows:

20 19 18 18 17 17 17 15 15 14 14 14 13 13 12 11 11 10 10 10
10 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4
4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1

a. What is the value of n?...........

b. Calculate the percentage of scores with stays greater than one week. (compute to the second decimal).................. %

c. Calculate the percentage of scores with stays greater than two weeks.............. %

d. Determine the percentile rank for a stay of nine days............... th

e. Determine the percentile rank for a stay of three days............. st

2- Determine the percentile rank for a stay of nine days........... st.

3-Determine the percentile rank for a stay of three days.......  th

Answer 1

No. of Days	Frequency	Relative Frequency	Cumulative Relative Freq
1	6	0.0800	0.0800
2	10	0.1333	0.2133
3	6	0.0800	0.2933
4	7	0.0933	0.3867
5	8	0.1067	0.4933
6	7	0.0933	0.5867
7	3	0.0400	0.6267
8	5	0.0667	0.6933
9	2	0.0267	0.7200
10	4	0.0533	0.7733
11	2	0.0267	0.8000
12	1	0.0133	0.8133
13	2	0.0267	0.8400
14	3	0.0400	0.8800
15	2	0.0267	0.9067
17	3	0.0400	0.9467
18	2	0.0267	0.9733
19	1	0.0133	0.9867
20	1	0.0133	1.0000

a) Value of n = 75 (total number of observations)

b)
The percentage of scores with stays greater than one week = 1 - 0.0800 = 0.92 = 92%

c.
The percentage of scores with stays greater than two weeks = 1 - 0.2133 = 0.7867 = 78.67%

d.
The percentile rank for a stay of nine days is 72 th

e.
The percentile rank for a stay of three days is 29 th