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. 25 2 5 9 3 21 55 23 23 7 23 5 6 1 7 25 5 23 13 17 23 D Type integers or decimals.) Interpret the quartiles. Choose the correct answer below. O A. The quartiles suggest that 33% of the patients stayed less than 5 days, 33% stayed between 5 and 23 days, and 33% stayed more than 23 days. O B. The quartiles suggest that all the patients stayed between 5 and 23 days. O C. The quartiles suggest that the average length of stay is 13 days. D. The quartiles suggest that 25% of the patients stayed less than 5 days, 25% stayed between 5 and 13 days, 25% stayed between 13 and 23 days, and 25% stayed more than 23 days. b. Determine and interpret the interquartile range (IQR). IQR = 18 (Simplify your answer. Type an integer or decimal.) Interpret the IQR. Choose the correct answer below. O A. The average of the first quartile and the third quartile is 18. O B. The approximate difference between each quartile is 18. O C. The data span roughly 18 days. D. The length of stay in the middle 50% of patients spans roughly 18 days. E. Find and interpret the five-number summary. (Type integers or decimals. Use ascending order.)

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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Part c

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.
25 2 5 9 3 21 55 23 23 7 23 5 6 17 25 5 23 13 17 23
(Type integers or decimals.)
Interpret the quartiles. Choose the correct answer below.
O A. The quartiles suggest that 33% of the patients stayed less than 5 days, 33% stayed between 5 and 23 days, and 33% stayed more than 23 days.
B. The quartiles suggest that all the patients stayed between 5 and 23 days.
C. The quartiles suggest that the average length of stay is 13 days.
D. The quartiles suggest that 25% of the patients stayed less than 5 days, 25% stayed between 5 and 13 days, 25% stayed between 13 and 23 days, and 25% stayed more than 23 days.
b. Determine and interpret the interquartile range (IQR).
IQR = 18 (Simplify your answer. Type an integer or decimal.)
Interpret the IQR. Choose the correct answer below.
A. The average of the first quartile and the third quartile is 18.
B. The approximate difference between each quartile is 18.
C. The data span roughly 18 days.
D. The length of stay in the middle 50% of patients spans roughly 18 days.
c. Find and interpret the five-number summary.
(Type integers or decimals. Use ascending order.)
Transcribed Image Text: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. 25 2 5 9 3 21 55 23 23 7 23 5 6 17 25 5 23 13 17 23 (Type integers or decimals.) Interpret the quartiles. Choose the correct answer below. O A. The quartiles suggest that 33% of the patients stayed less than 5 days, 33% stayed between 5 and 23 days, and 33% stayed more than 23 days. B. The quartiles suggest that all the patients stayed between 5 and 23 days. C. The quartiles suggest that the average length of stay is 13 days. D. The quartiles suggest that 25% of the patients stayed less than 5 days, 25% stayed between 5 and 13 days, 25% stayed between 13 and 23 days, and 25% stayed more than 23 days. b. Determine and interpret the interquartile range (IQR). IQR = 18 (Simplify your answer. Type an integer or decimal.) Interpret the IQR. Choose the correct answer below. A. The average of the first quartile and the third quartile is 18. B. The approximate difference between each quartile is 18. C. The data span roughly 18 days. D. The length of stay in the middle 50% of patients spans roughly 18 days. c. Find and interpret the five-number summary. (Type integers or decimals. Use ascending order.)
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