67 Cheek teeth of extinct primates. Refer to the American Journal of Physical Anthropology (Vol. 142, 2010) study of the characteristics of cheek teeth (e.g., molars) in an extinct primate species, Exercise 34 . The data on dentary depth of molars (in millimeters) for 18 cheek teeth extracted from skulls are reproduced below and saved in the CHEEKTEETH file.

a. Find and interpret the mean of the data set. If the largest depth measurement in the sample were doubled, how would the mean change? Would it increase or decrease?

b. Find and interpret the median of the data set. If the largest depth measurement in the sample were doubled, how would the median change? Would it increase or decrease?

c. Note that there is no single measurement that occurs more than once. How does this fact impact the mode?

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Data on Dentary Depth (mm) of Molars 18.12 16.55 19.48 15.70 19.36 17.83 15.94 13.25 15.83 16.12 19.70 18.13 15.76 14.02 17.00 14.04 13.96 16.20 Based on Boyer, D. M., Evans, A. R., and Jernvall, J. "Evidence of dietary differentiation among Late Paleocene-Early Eocene Plesiadapids (Mammalia, Primates)." American Journal of Physical Anthropology, Vol. 142, 2010 (Table A3).