You are researching a species of grasshopper and are interested in how far it can jump. You have the jump distances for 13 grasshoppers displayed below. Jump distances (inches): 26.1, 32.3, 22.3, 28.7, 25.5, 38.2, 20.4, 33.2, 25.9, 36.5, 33.3, 41.9, 29.1 Checksum: 393.4

Find the following. Round your answers to two decimal places. 

a) mean:


b) mean absolute deviation (MAD):

Defining an outlier: The grasshopper with a jump distance of 41.9 inches seems to stand out as much larger than the rest. Sometimes an observation like this is given the label "outlier". One common rule is to use 2 typical deviations from the mean as a cutoff. If the grasshopper's jump distance is more than 2 MAD's above the mean, we will label it an outlier.

c) Calculate this "upper cutoff": mean + 2*MAD =

d) Is the grasshopper with the 41.9 inch jump distance beyond this upper cutoff? Should we label it as an outlier?

Select an answer Yes, it should be considered an outlier No, it should not be considered an outlier