33. The article “The Pedaling Technique of Elite Endurance Cyclists” (Int. J. of Sport Biomechanics, 1991: 29–53)

reported the accompanying data on single-leg power at a high workload:

244 191 160 187 180 176 174 205 211 183 211 180 194 200

a. Calculate and interpret the sample mean and median.

b. Suppose that the first observation had been 204 rather than 244. How would the mean and median change?

c. Calculate a trimmed mean by eliminating the smallest and largest sample observations. What is the corresponding trimming percentage?

d. The article also reported values of single-leg power for a low workload. The sample mean for n
13 observations was x
119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 159. What is the value of x for the entire sample?