The data shows the number of grams of fat found in 9 different health bars 12, 14, 16, 17.5, 10, 18, 15, 15.5, 19What is the IQR (interquartile range) for the data? A: 4.75B: 9C: 15.5 D: 17.75

ANSWERA: 4.75EXPLANATIONThe given date set is 12, 14, 16, 17.5, 10, 18, 15, 15.5, 19We arrange the data set in ascending order to get,{10,12,14,15,15.5,16,17.5,18,19}The median is,[tex]15.5[/tex]The first quartile is the median of the lower half of the ascending set.{10,12,14,15}[tex]Q_1= \frac{12 + 14}{2} = 13[/tex]The third quartile is the median of the upper half of the ascending set.{15.5,17.5,18,19}[tex]Q_3= \frac{17.5+ 18}{2} = 17.75[/tex]The inter- quartile range is [tex]Q_3 - Q_1= 17.75 - 13 = 4.75[/tex]