The sample of 12 fortified wines were tested, and their distilled alcohol content is displayed below in order

16.9 17.2 17.6 17.7 18 18.3 18.5 19.4 20.5 21.4 24.3

A to E

1. The sample of 12 fortified wines were tested, and their distilled alcohol content is displayed below (in order): 16.9 17.2 17.6 17.7 18.0 18.3 18.5 18.9 19.4 20.5 21.4( 24.3 (a) (3 pts) Find the median, first quartile and third quartile for this data. median = (18.3+ 18.51 / 2 = 18.4 L First Q, = ( 17 .6 + 17 . 7 ) / 2 = 17:65 V QZ = ( 19 . 4 + 20.5) 12: 19. 95 (b) (3 pts) Are there any outliers in the data? Explain why or why not. WOR= Q3-Q1= 19.95-#= 155.oops Q3 -Q, - 2.3 2.5 Inner fence = Q. - ( 1. 5) * EQR = 17:65 - (1:5 ) X 1.55 = 15. 325 = Q 3 + 1 1 5 ) * EQR = 19: 95+ (1:5 ) x 1:53 = 22.275 There is outlier 24.3 bec , because it is bigper them inner fence (c) (4 pts) Construct a boxplot for this data. Label everything clearly. It should be to scale. whiskers in wrong spot Outliner 3 15 15.5 16 16.5 17 175 18 18.5 19. 19.5 20 20.5 21 21.5 22 24 (d) (4 pts) Does the data appear to be skewed in any direction? Explain why or why not. looks left skewed, because the toit on the left (e) (2 pts) Find the mean and the standard deviation for this sample. mu = Ex / N = ( 16 . 9 + 17 . 2+ . ... + 24.3)/ 12 2 228- 1 12 2 19. 05 8 3 3 3 n - 1 = 2.116368