Show the five-number summary for the following data: 4, 16, 18, 11, 8, 12, 17, 9, 7. minimum 4 first quartile 5.5 X median 11 third quartile 5.5 X maximum 18 Show the boxplot for the data. O 3 9 11 13 15 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 4 6 8 10 12 14 16 18 20 22 4 6 8 10 12 14 16 18 20 22 XThe Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547.+ Assume that GMAT scores are bell-shaped with a standard deviation of 100. (a) What percentage of GMAT scores are 647 or higher? 84 [b) What percentage of GMAT scores are 747 or higher? 97.5 x%Recall that a percentile gives insight to how data are spread between the smallest and largest values. The pth percentile of a set of data indicates that p% of the data are below that value, and (100 - p)% are above that value. There are two components of the oth percentile: the location within the data and the actual value. The formula for finding the location of the percentile, denoted Ly, follows where p is the percentile and n is the number of observations in the ordered data set. P 106 ( 7+ 1) The first step in calculating a percentile is to order the data in ascending order. The ordered data are below. 18 23 26 26 29 30 32 37 There are n = 8 observations in the data. Find the location of the p = 20th percentile. LO = P(n + 1 ) 100 20 -20 = 100 + 1)