Darwin (1876, p. 16) reported the results of an experiment in which he grew 15 pairs of Zea mays (corn) plants. Each pair consisted of a self-fertilized and a cross fertilized plants that were grown in the same pot. The numbers below are the differences between heights (in eighths of an inch) of the two plants in each pair (cross-fertilized minus self-fertilized).
49, −67, 8, 16, 6, 23, 28, 41, 14, 29, 56, 24, 75, 60, −48
Find the
(a) The sample mean.
(b) The trimmed means for k = 1, 2, 3, and 4.
(c) The sample median.
(d) The Mestimator with k = 1.5 and ˆσ equal to the sample median absolute deviation divided by 0.6745.