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 5 7 14 5 23 49 23 24 8 7 7 14 2 9 25 5 10 10 11 23 8 a. Obtain and interpret the quartiles. Q1 = Q2 = Q3 = (Type integers or decimals.) Interpret the quartiles. Choose the correct answer below. O A. The quartiles suggest that all the patients stayed between 7 and 23 days. O B. The quartiles suggest that 33% of the patients stayed less than 7 days, 33% stayed between 7 and 23 days, and 33% stayed more than 23 days. O C. The quartiles suggest that the average length of stay is 10 days. O D. The quartiles suggest that 25% of the patients stayed less than 7 days, 25% stayed between 7 and 10 days, 25% stayed between 10 and 23 days, and 25% stayed more than 23 days.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 5 7 14 5 23 49 23 24 8 7 7 14 2 9 25 5 10 10 11 23 8 e. Construct and interpret a boxplot. Choose the correct boxplot below. O A. O B. OC. 0 10 20 30 40 50 60 0 10 20 30 40 50 60 0 10 20 30 40 50 60 Interpret the boxplot. Choose the correct answer below. O A. Most stays were approximately 15 days. The longest stay was 37.5 and the shortest stay was 3. O B. The potential outlier is relatively close to the other data points. Most stays fall with the first quarter of the boxplot, between 10.5 and 15. O C. The potential outlying observation falls far from the rest of the data. The other stays vary from 2 to 25 days. The majority of the stays were between 7 and 23 days. O D. The two potential outlying observations fall far from the rest of the data. The other observations vary from 7.1 to 31.25 days. The majority of the stays were between 12.35 and 29.15 days.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 5 7 14 5 23 49 23 24 8 7 7 14 2 9 25 5 10 10 11 23 8 b. Determine and interpret the interquartile range (IQR). IQR = (Simplify your answer. Type an integer or decimal.) Interpret the IQR. Choose the correct answer below. O A. The data span roughly 16 days. O B. The approximate difference between each quartile is 16. O C. The length of stay in the middle 50% of patients spans roughly 16 days. O D. The average of the first quartile and the third quartile is 16. c. Find and interpret the five-number summary. 00000 (Type integers or decimals. Use ascending order.)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 5 7 14 5 23 49 23 24 8 7 7 14 2 9 25 5 10 10 11 23 8 Interpret the five-number summary. Choose the correct answer below. O A. The fourth quarter has the greatest variation. The middle 50% has the next largest variation and the first quarter has the least variation. O 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. O D. There aren't as many patients in the fourth quarter as there are in the first quarter. d. Identify potential outliers, if any. Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The potential outlier(s) is(are) (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no potential outliers