The following is a set of data from a sample of n = 6. 5 2 7 5 1 16 a. List the five-number summary. b. Construct a box-and-whisker plot and describe the shape. . . . a. The five-number summary is 1.0.0. (Use ascending order.) b. Which of the following is the correct box-and-whisker plot? O A. O B. O C. 0 5 10 15 20 0 5 10 15 20 5 10 15 20The following is a set of data from a sample of n = 6. 5 2 7 5 1 16 r: a. List the five-number summary. b. Construct a box-and-whisker plot and describe the shape. EDA. EBB. EEC. What is the shape of the data? C: A. Slightly rightskewed C: B. Perfectly symmetric [:1 C. Slightly leftskewed How contagious and dangerous is the Delta variant? Medical study reports that viral loads in Delta infections are 1000 times higher than those in infections caused by other variants. Data show that Delta variant affects about 62 out of 100 people. In response to this information, the World Health Organisation (WHO) regards Delta as "the fastest and fittest" variant so far. The main type of COVlD-19 Delta variant test is nucleic acid detection test and the test is quite aocurate. We know that the probability that the test result is positive given that the person does not have Delta variant is only 1.5%, and the probability that the test result is negative given that the person has Delta variant is only 0.5%. A random person in Perth gets tested for COVlD-19 Delta variant and the result comes back positive. What is the probability that the person has Delta variant? :3 A. 0.9908 if? B. 0.9926 C. 0.9939 D. 0.9969 Which of the following options is one of the four 'common points of vulnerability' when seeking to avoid ethical controversies in the management of data? O A. Information loss O B. Social vulnerability O C. Collection and consent O D. Physical and emotional vulnerability O E. Financial vulnerabilityGiven the following frequency distribution for n = 100. Class intervals Frequency 0-under 10 20 a. Approximate the mean. 10-under 20 20 b. Approximate the standard deviation. 20-under 30 10 30-under 40 30 40-under 50 20 100 . . . a. X= (Type an integer or a decimal.) b. S = (Round to two decimal places as needed.)Asample of 500 respondents was selected in a large metropolitan area to study consumer behavior. The resulting contingency table is shown to the Enjoys shopping for clothing Male right. Complete parts (a) through {c}. Yes 148 No 121 Total 269 a. Suppose the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing? F'(does not enjoy shopping female) = (Round to four decimal places as needed.) b. Suppose the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? P(maie|enjoys shopping) = (Round to four decimal places as needed.) Gender Female 189 42 231 Total 337 1 63 500 A sample of 500 respondents was selected in a large metropolitan area to Gender study consumer behavior. The resulting contingency table is shown to the Enjoys shopping for clothing Male Female Total right. Complete parts (a) through (c). Yes 148 189 337 No 121 42 163 Total 269 231 500 . . . b. Suppose the respondent chosen enjoys shopping for clothing. What is the probability that the individual is a male? P(male|enjoys shopping) = (Round to four decimal places as needed.) c. Are enjoying shopping for clothing and the gender of the individual statistically independent? Explain. O A. No, because P(male|enjoys shopping) # P(male). O B. Yes, because P(male|enjoys shopping) = P(male). O C. Yes, because P(male|enjoys shopping) # P(male). O D. No, because P(male|enjoys shopping) = P(male)