A statistic center compiles data on the length of stay by patients in​ short-term hospitals. A random sample of 21 patients yielded the data on length of​ stay, in​ days, shown below. Complete parts​ (a) through​ (e) below.   23  6  6  10  6  15  55  23  24  17  9  6  6  2  19  24  6  16  15  13  23        a. Obtain and interpret the quartiles.   Q1 = enter your response here Q2 = enter your response here Q3 = enter your response here ​(Type integers or​ decimals.) Part 2 Interpret the quartiles. Choose the correct answer below.     A. The quartiles suggest that​ 25% of the patients stayed less than 6 ​days, 25% stayed between 6 and 15 ​days, 25% stayed between 15 and 23 ​days, and​ 25% stayed more than 23 days.   B. The quartiles suggest that​ 33% of the patients stayed less than 6 ​days, 33% stayed between 6 and 23 ​days, and​ 33% stayed more than 23 days.   C. The quartiles suggest that the average length of stay is 15 days.   D. The quartiles suggest that all the patients stayed between 6 and 23 days. Part 3 b. Determine and interpret the interquartile range​ (IQR).   IQR=enter your response here ​(Simplify your answer. Type an integer or​ decimal.) Part 4 Interpret the IQR. Choose the correct answer below.     A. The length of stay in the middle​ 50% of patients spans roughly 17 days.   B. The data span roughly 17 days.   C. The average of the first quartile and the third quartile is 17.   D. The approximate difference between each quartile is 17. Part 5 c. Find and interpret the​ five-number summary.   enter your response here    enter your response here    enter your response here    enter your response here    enter your response here ​(Type integers or decimals. Use ascending​ order.) Part 6 Interpret the​ five-number summary. Choose the correct answer below.     A. The fourth quarter has the greatest variation. The middle 50% has the next largest variation and the first quarter has the least variation.   B. The middle​ 50% has the greatest variation in the data set. The first and fourth quarters have the same variation.   C. The first quarter has the most patients recorded. The fourth quarter has the least amount of patients recorded.   D. There​ aren't as many patients in the fourth quarter as there are in the first quarter. Part 7 d. Identify potential​ outliers, if any. Choose the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.   A. The potential​ outlier(s) is(are) enter your response here. ​(Type an integer or a decimal. Use a comma to separate answers as​ needed.)   B. There are no potential outliers.

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A statistic center compiles data on the length of stay by patients in​ short-term hospitals. A random sample of
21
patients yielded the data on length of​ stay, in​ days, shown below. Complete parts​ (a) through​ (e) below.
 
23  6  6  10  6  15  55  23  24  17  9  6  6  2  19  24  6  16  15  13  23  
  
 
a.
Obtain and interpret the quartiles.
 
Q1
=
enter your response here
Q2
=
enter your response here
Q3
=
enter your response here
​(Type integers or​ decimals.)
Part 2
Interpret the quartiles. Choose the correct answer below.
 
 
A.
The quartiles suggest that​ 25% of the patients stayed less than
6
​days, 25% stayed between
6
and
15
​days, 25% stayed between
15
and
23
​days, and​ 25% stayed more than
23
days.
 
B.
The quartiles suggest that​ 33% of the patients stayed less than
6
​days, 33% stayed between
6
and
23
​days, and​ 33% stayed more than
23
days.
 
C.
The quartiles suggest that the average length of stay is
15
days.
 
D.
The quartiles suggest that all the patients stayed between
6
and
23
days.
Part 3
b.
Determine and interpret the interquartile range​ (IQR).
 
IQR=enter your response here
​(Simplify your answer. Type an integer or​ decimal.)
Part 4
Interpret the IQR. Choose the correct answer below.
 
 
A.
The length of stay in the middle​ 50% of patients spans roughly
17
days.
 
B.
The data span roughly
17
days.
 
C.
The average of the first quartile and the third quartile is
17.
 
D.
The approximate difference between each quartile is
17.
Part 5
c.
Find and interpret the​ five-number summary.
 
enter your response here   
enter your response here   
enter your response here   
enter your response here   
enter your response here
​(Type integers or decimals. Use ascending​ order.)
Part 6
Interpret the​ five-number summary. Choose the correct answer below.
 
 
A.
The fourth quarter has the greatest variation. The
middle 50%
has the next largest variation and the
first quarter
has the least variation.
 
B.
The middle​ 50% has the greatest variation in the data set. The first and fourth quarters have the same variation.
 
C.
The first quarter has the most patients recorded. The fourth quarter has the least amount of patients recorded.
 
D.
There​ aren't as many patients in the fourth quarter as there are in the first quarter.
Part 7
d.
Identify potential​ outliers, if any. Choose the correct answer below​ and, if​ necessary, fill in the answer box to complete your choice.
 
A.
The potential​ outlier(s) is(are)
enter your response here.
​(Type an integer or a decimal. Use a comma to separate answers as​ needed.)
 
B.
There are no potential outliers.
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