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 2.38 (p. 50). The data on dentary depth of molars (in millimeters) for 18 cheek teeth extracted from skulls are reproduced below.
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
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?