You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data:

Mass(g) of ears of corn

12.4 12.9 13.6 14.4 14.4 14.5 15.2 15.3 15.4 16.5 17.4 18.0 18.5 18.9 19.0 19.8 20.2 20.4 23.6 38.4 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers.

Here are your summary Statistics:

Mean St. Dev. Min Q1 Med Q3 Max 17.9 5.63 12.4 14.475 16.95 19.2 38.4 Find the following:

Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. IQR = 4.725 Lower = Upper = Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no") yes Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. Lower = Upper = Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")