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 and enter it into your spreadsheet:

Mass(g) of ears of corn:

12.8, 13.0, 13.5, 15.0, 15.0, 15.1, 15.2, 15.5, 15.6, 16.4, 16.6, 17.7, 18.3, 19.1, 19.3, 19.6, 20.5, 21.0, 26.2, 27.8, 33.5

Checksum: 405.5

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. Round answers to 2 decimal places.

Start with the IQR:

a. IQR = ?

Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cutoffs.

b. Lower: ?
c. Upper: ?
d. Are there any outliers by the 1.5 IQR rule? (Enter “yes” or “no”): ?